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    and slaughter, and entail wretchedness and misery on millions yet unborn(Inglis, 1776, p. 6)." References Cooper, M. (1775). The patriots of North America: A sketch. America in Class from the National Humanities Center, Research Triangle Park, NC. Retrieved from http://americainclass.org/sources/makingrevolution/rebellion/text1/cooperpatriotsnorthamerica.pdf Hewitt, N. A. & Lawson, S. F. (2016). Exploring American histories: To 1865. Asheville, NC: Soomo Learning. Available from http://www.webtexts.com Inglis, C. (1776). The deceiver unmasked; or loyalty and interest united: In answer to a pamphlet entitled Common Sense. America in Class from the National Humanities Center, Research Triangle Park, NC. Retrieved from http://americainclass.org/sources/makingrevolution/rebellion/text7/inglisdeceiverunmasked.pdf Mason, K. (1990). Localism, evangelicalism, and loyalism: The sources of discontent in the revolutionary Chesapeake. The Journal of Southern History, 56(1), 23–54. McDonnell, M. A. (2004). A world turned “topsy turvy”: Robert Munford, The Patriots, and the crisis of the revolution in Virginia. {{I}}The William and Mary Quarterly, 61{{/I}}(2), 235–270. Paine, T. (1776). Common sense. America in Class from the National Humanities Center, Research Triangle Park, NC. Retrieved from http://www.let.rug.nl/usa/documents/1776-1785/thomas-paine-common-sense/in-the-following-pages-i-offer.php…

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    biology as well. He taught a college level course, and when I took it, I was still in high school, but regardless, I understood most of the genetic aspect of it. It feels that it is the more elegant fields in biology, with more definite and objectivity than others. Since then, I have volunteered at the Singapore Science Centre, being in charge of explaining scientific concepts to people, so I do not think that there would be any problems when it comes to explaining the research I hope to…

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    By following the “7 Habits of Highly Effective Teens”, I can “Begin with the End in Mind” by envisioning my ultimate career goal: becoming a healthcare/medical professional. Attending Governor’s School would be a major leap in my education, allowing me to progress and take a step nearer to my career goal. This program would be able to bestow ample experience, research, and education which are beneficial for being successful in my path in education. Tom Landry once said, “Setting a goal is not…

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    tree sides of a right triangle. It’s the sum of the areas of the two squares on the legs equals the area of the square on the hypotenuse. The equation use for it is A squared plus B squared equals C squared.The Theorem relates the lengths of the three sides of any right triangle. The theorem is named after the ancient Greek. There is evidence that indicates that Pythagorean Theorem was well- known to the mathematicians of the first Babylonian Dynasty (20th to 16th centuries BC) which would…

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    At first, as I was examining the image of the swimmer, I thought about determining the area between the swimmer’s legs. At first, I thought that I could relate it to the area of a triangle, but later acquired the fact that the side length and height of an isosceles triangle cannot be equivalent, which meant that the area of a triangle would not fit this image. Figure 2 Created in Microsoft Paint In Figure 2, I have attempted to display an isosceles triangle to put in place of the swimmer's…

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    Paper On Pythagoras

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    properties of right-angled triangles seems to be the most ancient and widespread mathematical development after basic arithmetic and geometry, and it was touched on in some of the most ancient mathematical texts from Egypt , dating from over a thousand years earlier. One of the simplest proofs comes from ancient China, and probably dates from well before Pythagoras' birth. It was Pythagoras, though, who gave the theorem its definitive form, although it is not clear whether Pythagoras himself…

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    different types of shaped triangles you may find in mathematics. They have learned many of the basic shapes of triangles, for example, the right triangle, acute triangle, equilateral triangle, and lastly the isosceles triangle. As a fun way to incorporate what the students have learned thus far in the lesson, I am going to have them construct toothpick bridges solely out of toothpicks and mini marshmallows. Why is this lesson important: This lesson allows for my students to be creative by…

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    These things don't exist in math. Math is full of "rules" that don't have exceptions. Things such as the Pythagorean Theorem will always work for right triangles. There will never be a right triangle where a^2 + b^2 does not = c^2. This is what I like about math. Math is a subject that I think would never Let me down ; It has no contradictions. It's something that's reliable and useful. I've learned that without math, life would be a cycle of events without reason. If I ever wonder why when I…

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    Pythagoras Research Paper

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    At about twenty centuries ago there was an amazing discovery about right angled triangles: “In a right angled triangle the square of the hypotenuse is equal to the sum of squares of the other two sides.” It is called Pythagoras Theorem and can be written in one short equation: a²+b²=c² where c is the longest side of triangle and a and b are the other two sides. Pythagoras was born in the island of Samos in 570 BC in Greek in the eastern Agean. He was the son of Mnesarchus and his mother's name…

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    Cartesian Form

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    We can easily convert this into Cartesian form by replacing z by x+iy |(x+iy)-(-3 +2i)|=5 |(x+3) + i(y-2)|=5 √(〖(x+3)〗^2+〖(y-2)〗^2 ) =5 or 〖(x+3)〗^2+〖(y-2)〗^2=25 Which is the exact form of a Cartesian equation of a circle with a center of (-3, 2) and a radius of 5 We could check if a particular point lies on the circle Ex. z2=1-3i Substituting into the equation of the circle, with z replaced by z2=1-3i |(1-3i) - (-3 + 2i)|=5 |4-5i|=5 √(4^2+〖(-5)〗^2 ) =5 41=5, which is not true, thus z2 does not…

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