impact of technology on societ essays

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Battle of Gallipoli in World War I

Battle of Gallipoli in World War I The Battle of Gallipoli was fought during World War I (1914-1918) and represented an attempt to knock the Ottoman Empire out of the war. The plan for the operation was conceived by First Lord of the Admiralty Winston Churchill who believed warships could force the Dardanelles and strike directly at Constantinople. When this proved unfeasible, the Allies elected to land troops on the Gallipoli Peninsula to open the straits. The early stages of the campaign were badly handled and Allied forces were effectively trapped in their beachheads. Though the Allies spent much of 1915 trying to breakout, they were not successful and the decision was made to withdraw late that year. The campaign marked the Ottoman Empires greatest victory of the war. Fast Facts: Gallipoli Campaign Conflict: World War I (1914-1918)Dates: February 17, 1915-January 9, 1916Armies Commanders:AlliesGeneral Sir Ian HamiltonAdmiral Sir John de Robeck489,000 menOttoman EmpireLieutenant General Otto Liman von SandersMustafa Kemal Pasha315,500 menCasualties:Allies: Britain - 160,790 killed and wounded, France - 27,169 killed and woundedOttoman Empire: 161,828 killed, wounded, and missing Background Following the entry of the Ottoman Empire into World War I, First Lord of the Admiralty Winston Churchill developed a plan for attacking the Dardanelles. Using the ships of the Royal Navy, Churchill believed, partially due to faulty intelligence, that the straits could be forced, opening the way for a direct assault on Constantinople. This plan was approved and several of the Royal Navys older battleships were transferred to the Mediterranean. On the Offensive Operations against the Dardanelles began on February 19, 1915, with British ships under Admiral Sir Sackville Carden bombarding Turkish defenses with little effect. A second attack was made on the 25th which succeeded in forcing the Turks to fall back to their second line of defenses. Entering the straits, British warships engaged the Turks again on March 1, however, their minesweepers were prevented from clearing the channel due to heavy fire. Another attempt to remove the mines failed on the 13th, leading Carden to resign. His replacement, Rear Admiral John de Robeck, launched a massive assault on Turkish defenses on the 18th. This failed and resulted in the sinking of two old British and one French battleships after they struck mines. General Sir Ian Hamilton, 1910. Library of Congress Ground Forces With the failure of the naval campaign, it became clear to Allied leaders that a ground force was going to be needed to eliminate the Turkish artillery on the Gallipoli Peninsula which commanded the straits. This mission was delegated to General Sir Ian Hamilton and the Mediterranean Expeditionary Force. This command included the newly formed Australia and New Zealand Army Corps (ANZAC), the 29th Division, the Royal Naval Division, and the French Oriental Expeditionary Corps. Security for the operation was lax and the Turks spent six weeks preparing for the anticipated assault. Ottoman machine gun team during the Gallipoli Campaign. Bundesarchiv, Bild 183-S29571 / CC-BY-SA 3.0 Opposing the Allies was the Turkish 5th Army commanded by General Otto Liman von Sanders, the German advisor to the Ottoman army. Hamiltons plan called for landings at Cape Helles, near the tip of the peninsula, with the ANZACs landing further up the Aegean coast just north of Gaba Tepe. While the 29th Division was to advance north to take the forts along the straits, the ANZACs were to cut across the peninsula to prevent the retreat or reinforcement of the Turkish defenders. The first landings began on April 25, 1915, and were badly mismanaged (Map). Meeting stiff resistance at Cape Helles, British troops took heavy casualties as they landed and, after heavy fighting, were finally able to overwhelm the defenders. To the north, the ANZACs faired slightly better, though they missed their intended landing beaches by about a mile. Pushing inland from Anzac Cove, they were able to gain a shallow foothold. Two days later, Turkish troops under Mustafa Kemal attempted to drive the ANZACs back into the sea but were defeated by tenacious defending and naval gunfire. At Helles, Hamilton, now supported by French troops, pushed north towards the village of Krithia. Trench Warfare Attacking on April 28, Hamiltons men were unable to take the village. With his advance stalled in the face of determined resistance, the front began to mirror the trench warfare of France. Another attempt was made to take Krithia on May 6. Pushing hard, Allied forces only gained a quarter mile while suffering heavy casualties. At Anzac Cove, Kemal launched a massive counterattack on May 19. Unable to throw the ANZACs back, he suffered over 10,000 casualties in the attempt. On June 4, a final attempt was made against Krithia with no success. Gridlock After a limited victory at Gully Ravine in late June, Hamilton accepted that the Helles front had become a stalemate. Seeking to move around the Turkish lines, Hamilton re-embarked two divisions and had them landed at Sulva Bay, just north of Anzac Cove, on August 6. This was supported by diversionary attacks at Anzac and Helles. Coming ashore, Lt. General Sir Frederick Stopfords men moved too slowly and the Turks were able to occupy the heights overlooking their position. As a result, the British troops were quickly locked into their beachhead. In the supporting action to the south, the ANZACs were able to win a rare victory at Lone Pine, though their main assaults on Chunuk Bair and Hill 971 failed. Soldiers of the Royal Irish Fusiliers in the trenches on the southern section of Gallipoli Peninsula during World War I. Australian War Memorial On August 21, Hamilton attempted to revive the offensive at Sulva Bay with attacks on Scimitar Hill and Hill 60. Fighting in brutal heat, these were beaten off and by the 29th the battle had ended. With the failure of Hamiltons August Offensive, fighting calmed as British leaders debated the future of the campaign. In October, Hamilton was replaced by Lt. General Sir Charles Monro. After reviewing his command, and influenced by the entry of Bulgaria into the war on the side of the Central Powers, Monro recommended evacuating Gallipoli. Following a visit from Secretary of State for War Lord Kitchener, Monros evacuation plan was approved. Beginning on December 7, troop levels were drawn down with those at Sulva Bay and Anzac Cove departing first. The last Allied forces departed Gallipoli on January 9, 1916, when the final troops embarked at Helles. Aftermath The Gallipoli Campaign cost the Allies 187,959 killed and wounded and the Turks 161,828. Gallipoli proved to be the Turks greatest victory of the war. In London, the campaigns failure led to the demotion of Winston Churchill and contributed to the collapse of Prime Minister H. H. Asquiths government. The fighting at Gallipoli proved a galvanizing national experience for Australia and New Zealand, which had not previously fought in a major conflict. As a result, the anniversary of the landings, April 25, is celebrated as ANZAC Day and is both nations most significant day of military remembrance.

Case 2- Relevant Information for Decision Making Essay

Case 2- Relevant Information for Decision Making - Essay Example These decisions are based on many calculations, based on estimates and actual figures, prepared by the management accountants. One of the most appropriate approaches for decision making is ‘decision-relevant approach’. (Drury, 2004) In this paper, we have analyzed the given data using decision relevant approach. The first step in this approach was to identify the relevant and irrelevant costs of both the alternatives for comparison basis. As described by Drury, relevant costs and revenues are that income and expenses that are affected in the future because of making any decision. (Drury, 2004) 1) Direct Material Cost is a relevant cost for decision making, because if the outsourcing decision is taken, then no such costs will be incurred by BMC. Further, since there is no future obligation of the existing direct materials’ contracts, therefore, no penalties or future obligations will be imposed on BMC on termination of these contracts. This means that direct material cost is taken as a relevant cost in calculating the total expense of manufacturing Global System navigator (GPSN), and no impact is taken to calculate the total expenses of outsourcing the production (buying from a contractor). 2) Direct Labor Cost is also a relevant cost for decision making because if the decision for outsourcing the production of GPSNs will be taken no such costs will be incurred. However, because of termination of the employment contracts, BMC will have to pay penalties of $66,000 annually for four years. Therefore, direct labor cost per unit is taken as the part of cost of manufacturing GPSN, whereas $ 5,500 is added in the monthly outsourcing expense ($66,000/12). 3) As it is given in the given data that because of failing quality control 2% of the units produced are discarded. Therefore, in order to meet the need for 8,000 products in a month 8,327 units should be manufactured by BMC. However, in case of outsourcing, BMC will buy 8,000 units from Far East Enterprises

Analysis of an artwork Essay Example | Topics and Well Written Essays - 500 words

Analysis of an artwork - Essay Example Alexandria, a Greek cosmopolitan city wherein dance and mime professions were prevalent during the ancient times1. The dancer is wearing a traditional Grecian dress called peplos with a woolen undergarment called chiton, and a cloak called himation2. Due to the pressure applied by her upper and lower limbs, the himation was drawn taut over her head and body causing the fabric to be draped in realistic folds and pleats imparting a feeling of softness and sheerness of fabrics, which also further enhanced the dancer’s figure which seems to be captured in an exotic and provocative pose. However, the face which was concealed in a veil seems to depict modesty with a hint of mystery. The contrasting emotions made the statuette unique and highly artsy. The dancer’s laced slipper also denotes daintiness and further magnified the femininity of the dancer. In addition, the statuette’s dimensions further established its function as a decorative element or a figurine probably commissioned by a rich patron of the arts. Details of the patron or the one who commissioned the bronze statuette was not disclosed though, but the Greek affluent populace at the time were quite known to appreciate beauty and were quite eager to enhance their homes with luxurious items made of bronze and other expensive materials3. In a comparison with a sculpture mentioned in Kleiner’s book, the â€Å"Peplos Kore† is an example of an Archaic style circa 530-525 B.C. and is made entirely of white marble with blue-grey streaks4. Like the Hellenistic bronze statuette, the material used is expensive. The sculpture also depicts a woman wearing the traditional Grecian dress called a peplos worn over a chiton, but without the himation as seen in the Hellenistic bronze statuette. The woman stands in the typical Archaic style of upright and frontal stance with the dress hanging in rigid and simple lines. The symmetrical patterning

Thw Importance of English Essay Example for Free

Thw Importance of English Essay Language is the ability of human to communicate. Estimated number of languages in the world variesbetween 6,000 to 7,000. One of the most important languages is English language. Why do we think English language is the most important? English plays a major role in many areas including medicine, engineering and education, which in my opinion; is the most importantlanguage to learn. First of all, the reason why English language is important is to help students find better jobs. In the business sector, the most commonly used language is the English language. In order to achieve success in the selected jobs, one should acquire a sound knowledge in the language. As the result, fresh graduates have to know the language well in order to get a better job, and for those who have less knowledge in the language will only be able to acquire less paid jobs. For example, one of my friends’ sister, who was graduated from a well-known university and she has a good command in the language. That helped her to get a better paid job. The next reason for us to be well-versed in the language is to enable us to communicate with people around the world. It is important to get involvewith advancement of the technology. For that reason, we have to learn a common language. A language which could be understaood by everyone. For example, the internet can be used to get access to unlimited information and if our knowledge in the language is limited then getting around with the internet would be difficult task. Last but not least is the importance of the language in education.It is becoming a common practice in every higher education institutions to conduct lessons in English language. If we are good in the language then scoring good results will be easy. In conclusion, university students need to know the language to get access to all kinds of knowledge. In a nut shell, we could say that, it is important to know English language. It is also proved that the languageplays a major role in our lives. If we want to follow themodern trend, new gadgets and technologyin this developing world, we have to know the English language well.

Cult Leaders And Their Abuse Of Power :: essays research papers

Cult leaders and their abuse of power Although power should be used with virtue by those with those with good intentions, many of the world's most powerful people use power in ways that purposefully harm other people, the most famous example of this case being Adolf Hitler during World War II. More generally, this includes some past (and present) members of the Royal families, some political leaders as well as a few religious leaders who have used their power to manipulate those lower than them in social status. An example of a power-abusing "religious" leader is Reverend Jim Jones who initiated a ritual suicide to protest racism and fascism. Although in his own mind he had food intentions, to save the world from the Armageddon, he was insane and in the overabundance of power, he was able to kill more than 900 people. It is unclear whether Jim Jones had committed suicide at the ritual or was shot by another, so it is uncertain to say that he had any intentions to die also. Although his protests were for good mo ral purposes, it was wrong of him to use his status as chairman of the Housing Authority and award receiver to gather extra followers to join the suicide. Here he had overstepped the line to abuse the power he was appointed by putting other people's lives at jeopardy. Being in his position, he was most likely aware that he had many supporters believing in him who would gladly follow his lead. It is at this point where he chose to abuse his power by taking advantage of the people who had the most respect and admiration for him. Charles Manson is an example of a cult leader who abused his power, however with intentions very unlike Jim Jones'. Charles Manson wanted revenge for all the wrong he had encountered which is much more selfish and very different from Jim Jones. Charles Manson had experienced a very bumpy childhood being the son of a teenage, bisexual, alcoholic prostitute. Being shuffled between homes of relatives and orphanages, it is not surprising to see that his criminal a ctivity sprouted from a very early age. Manson's incredibly charisma attracted many hippies and he managed to earn himself s reputation as god-like in the eyes of many beautiful girls. When Manson and his "Family" settled down in Spahn Ranch he was able to sleep with a different girl each night.

French Macaron Recipe Research Essay

Preheat the oven to 150 degrees C Place egg whites and cater sugar in a bowl and mix with electric mixer for 8-10 minutes (yes really), add gel food colouring and continue to mix for a further 30seconds. The mixture should look stiff and dry. Sift the almond meal and icing sugar and salt twice, discarding any almond lumps that are too big to pass through the seive. Fold into the egg white mixture. It should take roughly 50 folds until the mixture is smooth and a very viscous liquid, not runny. Over-mix and your macarons will be flat and have no foot, under mix and they will not be smooth on top – see the video for examples (troubleshooting is at the end of video). Pipe onto trays lined with baking paper, rap trays on the bench firmly (this prevents cracking) and then bake in the oven for 20 minutes. Check if one comes off the tray cleanly, if not bake for longer – if they are looking done on top move to the bottom shelf of the oven for the remaining time to help bake the base.

Human nature Essay

Personality is the particular combination of emotional, attitudinal, and behavioral response patterns of an individual. It is the sound total o the multi-dimensionality of an individual. It is the sounding of one’s upbringing as a person. Personality is the reflection of how we are cared by our family, friends, government, society, etc. There are two factors that affect personality. These are nature and nurture. Many of us would try to look deep into ourselves and try to answer these following questions. Which is the most significant, nature or nurture? Which of the two most change my personality as a whole? What am I really? Nature is the genetic or biological component of an individual. This means that a person’s nature comes from its predecessors and the attitudes comes from its parents. Genes play a greater role in determining key personality traits like social skills and learning ability than the way we are brought up by our parents. Genetics were most influential on people’s sense of self-control and also affected their social and learning abilities and their sense of purpose. Nurture is the social and environmental factors that affect the individual. This means that the environment affects how a person thinks and do. There are many people in this world wherein they where affected by the changes in society. Maybe it is because it is needed so that they can fit in or maybe they need it to be socially compatible with others. Behavior can be non-genetically transmitted from parents to offspring. Non-genetic transmission of behavior can play an important role in shaping personality. Both nature and nurture are important in constructing our personality. They are sine qua non with the personality. Both factors help and determine the outcome of an individual. Both genetic and environmental factors contribute to personality continuity and change, but genetic factors affect rank-order change only in younger decades of life, whereas environmental influences appear to represent a lifelong source of inter-individual differences in personality development. For some they might choose nature over nurture, or vise versa, but soon they would realize that both help them determine their real self. As time passes, our society also changes and this reminds us that we too have to change so that we can fit in. We have to change so that we won’t be left out from the others. Some people give so much importance with their social life that they forget their self. There is nothing permanent in this world. Our personality is also the same; it changes according to what we will need depending on the situation. And with the help of the two factors, nature and nurture, we will be able to change easily. We will be able to address our problems and answer it without difficulty. Although we have to be reminded that changing our personality doesn’t mean that we have to change our whole self. Yes, we have to change because it is needed but we also have to be reminded that we have to remain a little amount of ourselves. We change because society tells us to but we should still stay true to ourselves because if all of us change, then we will be identical with each other and that would mean a disobedience to the natural law. We have to be true to ourselves because we have to be different from others. We have to be distinct from the others. We have to be unique. Even though society tells us to change our personality or attitude, we are still given the authority and choice to do so. We are the bosses of ourselves and we can dictate ourselves what to do and what not to do. ‘In order to gain something, you have to lose something’ I disagree in this statement. Why? Because we are given a choice and that choice doesn’t mean that we have to let go, it only means that we have to accept new things. There may be clashes and disagreements with two factors but it is possible to combine them and maybe there will be better results. Again, both nature and nurture are important in constructing ourselves. Some of us already found themselves and some are still struggling to find their meaning but we have to be reminded that we are different. We are who we are and we shouldn’t force ourselves to change just to satisfy other people. We have to learn to accept ourselves first before others would learn to accept us. Being true to ourselves makes our personality shine the most.

Free Essays on The Great Transformations

The voyage in Charles Johnson’s Middle Passage can be equated to a rite of passage that changes the lives and views of all those involved. Since the main character, Rutherford Calhoun, is the only black member of a crew on the Republic, it is only natural that he would be influenced by the rest of the group. The likelihood of change is heightened by the fact that this vessel is transporting slaves as well as cargo. These slaves, referred to as the Allmuseri, undergo the most drastic change of anyone on the ship. These changes are not only influenced by the numerous cultures on the ship, but also by the gravity of the mutiny and extreme hardships that occur from being at sea as long as they were. The most significant change of any individual or group during this voyage is that of the Allmuseri. They were treated so horribly that one could see that it would only be a matter of time before they realized that they outnumbered the crew and decided to revolt. At the onset of the trip, they are not even treated as people as they are included on a list of cargo that would be transported on the Republic. (pg. 64-65) To add to this treatment, Calhoun describes how Capt. Falcon packs the slaves on the ship. He was, as they say, a tight-packer†¦ if you arranged Africans in two parallel rows, their backs against the lining of the ship’s belly, this left a free space at their rusty feet, and that, given the flexibility of bone and skin, could be squeezed with even more slaves if you made the squat at ninety-degree angles at one another. (pg. 120) As unimaginable as that may seem, this was not the worst treatment that the slaves received. During the course of the journey, the crew commits numerous atrocities against the slaves. For example, each one of them receives three brands to mark who owned them. (pg 121) Some violations are public humiliation. They parade the men around naked in front of their children. Other acts are more seriou... Free Essays on The Great Transformations Free Essays on The Great Transformations The voyage in Charles Johnson’s Middle Passage can be equated to a rite of passage that changes the lives and views of all those involved. Since the main character, Rutherford Calhoun, is the only black member of a crew on the Republic, it is only natural that he would be influenced by the rest of the group. The likelihood of change is heightened by the fact that this vessel is transporting slaves as well as cargo. These slaves, referred to as the Allmuseri, undergo the most drastic change of anyone on the ship. These changes are not only influenced by the numerous cultures on the ship, but also by the gravity of the mutiny and extreme hardships that occur from being at sea as long as they were. The most significant change of any individual or group during this voyage is that of the Allmuseri. They were treated so horribly that one could see that it would only be a matter of time before they realized that they outnumbered the crew and decided to revolt. At the onset of the trip, they are not even treated as people as they are included on a list of cargo that would be transported on the Republic. (pg. 64-65) To add to this treatment, Calhoun describes how Capt. Falcon packs the slaves on the ship. He was, as they say, a tight-packer†¦ if you arranged Africans in two parallel rows, their backs against the lining of the ship’s belly, this left a free space at their rusty feet, and that, given the flexibility of bone and skin, could be squeezed with even more slaves if you made the squat at ninety-degree angles at one another. (pg. 120) As unimaginable as that may seem, this was not the worst treatment that the slaves received. During the course of the journey, the crew commits numerous atrocities against the slaves. For example, each one of them receives three brands to mark who owned them. (pg 121) Some violations are public humiliation. They parade the men around naked in front of their children. Other acts are more seriou...

The Easy Guide to the 30-60-90 Triangle

The Easy Guide to the 30-60-90 Triangle SAT / ACT Prep Online Guides and Tips Acute, obtuse, isosceles, equilateral†¦.When it comes to triangles, there are many different varieties, but only a choice few that are â€Å"special.† These special triangles have sides and angles which are consistent and predictable and can be used to shortcut your way through your geometry or trigonometry problems. And a 30-60-90 triangle- pronounced â€Å"thirty sixty ninety†- happens to be a very special type of triangle indeed. In this guide, we’ll walk you through what a 30-60-90 triangle is, why it works, and when (and how) to use your knowledge of it. So let’s get to it! What Is a 30-60-90 Triangle? A 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees. Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another. The basic 30-60-90 triangle ratiois: Side opposite the 30 ° angle: x Side opposite the 60 ° angle: x * √3 Side opposite the 90 ° angle: 2x For example, a 30-60-90 degree triangle could have side lengths of: 2, 2√3, 4 7, 7√3, 14 √3,3, 2√3 (Why is the longer leg 3?In this triangle, the shortest leg (x) is √3, so for the longerleg, x√3 = √3 *√3 = √9 = 3. And the hypotenuse is 2 times the shortestleg, or 2√3) And so on. The side opposite the 30 ° angle is always the smallest, because 30 degrees is the smallest angle. The side opposite the 60 ° angle will be the middle length, because 60 degrees is the mid-sized degree angle in this triangle. And, finally, the side opposite the 90 ° angle will always be the largest side (the hypotenuse) because 90 degrees is the largest angle. Want to get better grades and test scores? We can help. PrepScholar Tutors is the world's best tutoring service. We combine world-class expert tutors with our proprietary teaching techniques. Our students have gotten A's on thousands of classes, perfect 5's on AP tests, and ludicrously high SAT Subject Test scores. Whether you need help with science, math, English, social science, or more, we've got you covered. Get better grades today with PrepScholar Tutors. Though it may look similar to other types of right triangles, the reason a 30-60-90 triangle is so special is that you only need three pieces of informationin order to find every othermeasurement. So long as you know the value oftwo angle measures and one side length (doesn’t matter which side), you know everything you need to know about your triangle. For example, we can use the30-60-90 triangle formula tofill in all the remaining information blanks of the triangles below. Example 1 We can see that this is a right triangle in which the hypotenuse is twice the length of one of the legs. This means this must be a 30-60-90 triangle and the smaller given sideis opposite the 30 °. The longer leg must, therefore, be opposite the 60 ° angle and measure 6 *√3, or 6√3. Example 2 We can see that this must be a 30-60-90 triangle because we can seethat this is a right triangle with one given measurement, 30 °. The unmarked angle must then be 60 °. Since 18 is the measure opposite the 60 ° angle, it must be equal to x√3. The shortest leg must then measure $18/√3$. (Note that the leg lengthwill actually be $18/{√3} *{√3}/{√3} = {18√3}/3 = 6√3$ because adenominator cannot contain a radical/square root). And the hypotenuse will be $2(18/√3)$ (Note that, again, you cannot have a radical in the denominator, so the final answer will really be 2 times the leg length of 6√3= 12√3). Example 3 Again, we are given two angle measurements (90 ° and 60 °), so the third measure will be 30 °. Because this is a 30-60-90 triangle and the hypotenuse is 30, the shortest leg will equal 15 and the longer leg will equal 15√3. No need to consult the magic eight ball- these rules always work. Why It Works: 30-60-90 Triangle Theorem Proof But why does this special triangle work the way it does? How do we know these rules are legit? Let’s walk through exactly how the 30-60-90 triangle theorem works and prove why these side lengths will always be consistent. First, let’s forget about right triangles for a second and look at an equilateral triangle. An equilateral triangle is a triangle that has all equal sides and all equal angles. Because a triangle’s interior angles always add up to 180 ° and $180/3 = 60$, an equilateral triangle will always have three 60 ° angles. Now let's drop down a height from the topmost angle to the base of the triangle. We've now created two right angles and two congruent (equal) triangles. How do we know they’re equal triangles? Because we dropped a height from an equilateral triangle, we’ve split the base exactly in half. The new triangles also share one side length (the height), and they each have the same hypotenuse length. Because they share three side lengths in common (SSS), this means the triangles are congruent. Note: not only are the two triangles congruent based on the principles of side-side-side lengths, or SSS, but also based on side-angle-side measures (SAS), angle-angle-side (AAS), and angle-side-angle (ASA). Basically? They're most definitely congruent. Now that we’ve proven the congruencies of the two new triangles, we can see that the top angles must each be equal to 30 degrees (because each triangle already has angles of 90 ° and 60 ° and must add up to 180 °). This means we have made two 30-60-90 triangles. And because we know that we cutthe base of the equilateral triangle in half, we can see that the side opposite the 30 ° angle (the shortest side) of each of our 30-60-90 triangles is exactly half the length of the hypotenuse. So let us call our original side length x and our bisected length $x/2$. Now all that leaves us to do is to find our mid-side length that the two triangles share. To do this, we can simply use the pythagorean theorem. $a^2 + b^2 = c^2$ $(x/2)^2 + b^2 = x^2$ $b^2 = x^2 - ({x^2}/4)$ $b^2 = {4x^2}/4 - {x^2}/4$ $b^2 = {3x^2}/4$ $b = {√3x}/2$ So we're left with: $x/2, {x√3}/2, x$ Now let's multiply each measure by 2, just to make life easier and avoid all the fractions. That way, we're left with: x, x√3, 2x We can see, therefore, that a 30-60-90 triangle will always have consistent side lengths of x, x√3, and 2x (or $x/2$, ${√3x}/2$, and x). Luckily for us, we can prove 30-60-90 triangle rules true without all of...this. When to Use30-60-90 Triangle Rules Knowing the30-60-90 triangle rules will be able to save you time and energy on a multitude of different math problems, namely a wide variety of geometry and trigonometry problems. Geometry Proper understanding of the 30-60-90 triangles will allow you to solve geometry questions that would either be impossible to solve without knowing these ratio rules, or at the very least, would take considerable time and effort to solve the "long way." With thespecial triangle ratios, you can figure out missing triangle heights or leg lengths (without having to use the pythagorean theorem), find the area of a triangle by using missing height or base length information, and quickly calculate perimeters. Any time you need speed to answer a question, remembering shortcuts like your 30-60-90 rules will come in handy. Trigonometry Memorizing and understanding the 30-60-90 triangle ratio will also allow you to solve many trigonometry problems without either the need for a calculator or the needto approximate your answers in decimal form. A 30-60-90 triangle has fairly simple sines, cosines, and tangents for each angle (and these measurements will always be consistent). Sine of 30 ° will always be $1/2$. Cosine of 60 ° will always be $1/2$. Though the other sines, cosines, and tangents are fairly simple, these are the two that are the easiest to memorize and are likely to show up on tests. So knowing these rules will allowyou to find these trigonometry measurements as quickly as possible. Tips for Remembering the30-60-90 Rules You know these30-60-90 ratio rules are useful, but how do you keep the information in your head? Remembering the30-60-90 triangle rules is a matter of remembering the ratio of 1: √3: 2, and knowing that the shortest side length is always opposite the shortest angle (30 °) and the longest side length is always opposite the largest angle (90 °). Some people memorize the ratio by thinking,â€Å"x, 2x, x√3,† because the â€Å"1, 2, 3† succession is typically easy to remember. The one precaution to using this technique is to remember that the longest side is actually the 2x, not the x times √3. Another way to remember your ratios is to use a mnemonic wordplay on the 1: root 3: 2 ratio in their proper order. For example, â€Å"Jackie Mitchell struck out Lou Gehrig and ‘won Ruthy too,’†: one, root three, two. (And it's a true baseball history fact to boot!) Play around with your own mnemonic devices if these don’t appeal to you- sing the ratio to a song, find your own â€Å"one, root three, two† phrases, or come up with a ratio poem. You can even just remember that a 30-60-90 triangle is half an equilateral and figure out the measurements from there if you don't like memorizing them. However it makes sense to you to rememberthese 30-60-90 rules, keep those ratios your head for your future geometry and trigonometry questions. Memorization is your friend, however you can make it happen. Want to get better grades and test scores? We can help. PrepScholar Tutors is the world's best tutoring service. We combine world-class expert tutors with our proprietary teaching techniques. Our students have gotten A's on thousands of classes, perfect 5's on AP tests, and ludicrously high SAT Subject Test scores. Whether you need help with science, math, English, social science, or more, we've got you covered. Get better grades today with PrepScholar Tutors. Example 30-60-90 Questions Now that we've looked at the hows and whys of 30-60-90 triangles, let's work throughsome practice problems. Geometry A construction worker leans a 40-foot ladder up against the side of a building at an angle of 30 degrees off the ground. The ground is level and the side of the building is perpendicular to the ground. How far up the building does the ladder reach, to the nearest foot? Without knowing our 30-60-90 special triangle rules, we would have to use trigonometry and a calculator to find the solution to this problem, since we only have one side measurement of a triangle. But because we know that this is a special triangle, we can find the answer in just seconds. If the building and the ground are perpendicular to one another, that must mean the building and the ground form a right (90 °) angle. It’s also a given that the ladder meets the ground at a 30 ° angle. We can therefore see that the remaining angle must be 60 °, which makes this a 30-60-90 triangle. Now we know that the hypotenuse (longest side) of this 30-60-90 is 40 feet, which means that the shortest side will be half that length. (Remember that the longest side is always twice- 2x- as long as the shortest side.) Because the shortest side is opposite the 30 ° angle, and that angle is the degree measure of the ladder from the ground, that means that the top of the ladder hits the building 20 feet off the ground. Our final answer is 20 feet. Trigonometry If, in a right triangle, sinÃŽËœ = $1/2$ and the shortest leg lengthis 8. What is the length of the missing side that is NOT the hypotenuse? Because you know your 30-60-90 rules, you can solve this problem without the need for either the pythagorean theorem or a calculator. We were told that this is a right triangle, and we know from our special right triangle rules that sine 30 ° = $1/2$. The missing angle must, therefore, be 60 degrees, which makes this a 30-60-90 triangle. And because this is a 30-60-90 triangle, and we were told that the shortest side is 8, the hypotenuse must be 16 and the missing side must be 8 * √3, or 8√3. Our final answer is 8√3. The Take-Aways Remembering the rules for 30-60-90 triangles will help you to shortcut your way through a variety of math problems. But do keep in mind that, while knowing these rules isa handy tool to keep in your belt, you can still solve mostproblems without them. Keep track of the rules of x, x√3, 2x and 30-60-90 in whatever way makes sense to you and try to keep them straight if you can, but don't panic if your mind blanks out when it's crunch time. Either way, you've got this. And, if you need more practice, go ahead and check out this 30-60-90 triangle quiz. Happy test-taking!

Discrimination and Racism in America Essay Example | Topics and Well Written Essays - 1000 words

Discrimination and Racism in America - Essay Example One of the most popular theoretical explanations of discrimination is social differences existed in society and class struggle theory (antagonism), conflict theory and subcultural theory. The social conflict and class struggle theories states that society is based on social antagonism of two main social groups, men and women, workers and capitalists, blacks and whites (Wang 75). There is a smaller group who own and control the means, now chiefly machines, factories, and offices, that are used in the production of these goods. Also, disadvantageous groups in society often have an interest in change, and equal rights with minority. One of the most interested theories was proposed by Nathan Glazer (cited Wachtel 56). He argues that it has developed as a nation of minorities, each of which is accepted as a social entity but none of which has been accorded legal status or recognition. The popular picture of the country as composed of a large and monolithic majority, which tolerates some a nd opposes other minorities is therefore false. One of the main social condition which supports discrimination is social and class differences resulted in different education opportunities and different professional skills. The extensive number of charges of discrimination that continue to be filed by members of minority groups and women also argues strongly against assertion that affirmative-action programs are being implemented and that there is discrimination in education. The problem is that social location limits education opportunities from school and college years (Wang 30, 143) For this reason, many people belonging to low social classes (a lot of black people and minorities) lack knowledge and skills to enter the University or obtain a high-paid job. This condition is closely connected with historical development of the nation and high poverty rates among racial minorities and black population (Moses 121). Also, social roles of women as mother and wives limit their professional opportunities and career development. The case of women is different in many factual respects, but the principle is the same. Unfortunately, there is much fictitious "history" used to apply the "minority" concept to women. In the case of women, as in the case of minorities, their achievements were also made to look like the government's gift. Another social problem is that disadvantaged groups are defined by their color (black) or by their sex (female), although other groups are also shown to be underrepresented on the statistical graphs that correlate population quotas with achievements (Wang 43). Social and regional separation of disadvantageous groups is another social cause of discrimination. Many racial minorities, gay and lesbian people live as a separate community or neighborhood. Racism can be and must be eliminated in American society by changing personal values and national beliefs about minority groups and their social value. In a democratic society, "some seek to change the laws so that those who have been at a social and economic disadvantage may enjoy an enforceably favored status" (Wachtel 65). The problem is that affirmative action programs worsen the status and image of

Human genome project (PCR) Essay Example | Topics and Well Written Essays - 3000 words - 1

Human genome project (PCR) - Essay Example The projects looks at the relationship between the SHGB and PCOS and focuses on the molecular basis of disease and how the changes in the SHBG gene relate to the disease as well as to other health conditions such as cancer. SHBG is the principal plasma transport protein for sex steroid hormones and it controls the bioavailability of these hormones to the target tissues. The gene encoding SHBG is compound and any of numerous polymorphisms in SHBG have been linked with changes in circulating SHBG levels. Studies of Epidemiological have shown that low plasma SHBG levels are an insulin resistance early indicator and they can predict the development of type diabetes mellitus 2 (T2DM) in both women and men (Chittenden & Maheshwari, 2009). The sex hormone-binding globulin gene is also known as (ABP) androgen binding protein. Even though, associations linking low SHBG levels and the risk of diabetes might be explained by the theory that elevations in insulin levels suppress the production of hepatic SHBG (Cangemi et al, 2011), modern studies are documenting that the SHBG-altering polymorphisms transmission are connected with risk of T2DM imply that SHBG can have an additional direct physiologic task in glucose homeostasis. Nevertheless, the precise mechanisms underlying this connection are unknown. A non-diabetic woman with the (PCOS) polycystic ovary syndrome, a widespread endocrine disorder that is linked with insulin resistance, similarly demonstrates lower SHBG levels. In this report, we evaluate studies investigating the connection between SHBG polymorphisms and PCOS. Numerous studies in women with PCOS prove that certain genetic polymorphisms are connected with circulating SHBG levels, but they are not constantly connected with PCOS. (Chen et al. 2010) The SHBG has a number of functions that include steroid binding, physiological functions