using trigonometry tan equation. Tan ɵ = Tan 69 = If I subtract 4m from the above‚ this will give me the length of ½ the border as each side of the border is equal. I will then work out the base of the 2nd triangle marked B using Pythagoras theorem (the square of the hyp) = (the sum of the other 2 sides). hyp² = x² + 4² I will then work out the area of the two triangles with the equation A = ½ x base x perpendicular height A = ½ ͯ b ͯ h By adding the two areas of the triangle together
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Period 7 Jack Whyte Reflection This year‚ both as a student and as a person‚ I learned a tremendous amount. For instance‚ I learned that in England‚ its spelled “grey”‚ but in America its spelled “gray”. That pretty much was the coolest and most useful thing I have heard in a long time‚ let alone in the past 10 months. But I am not in a position today to discuss this‚ and thus I will be detailing everything else I have learned that has fallen short. Scholastically‚ I’ve grown to appreciate
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electrical devices. - Such interconnection is referred to as an electric circuit‚ and each component of the circuit is known as an element. An electric circuit is an interconnection of electric elements. EE2001 Circuit Analysis 2012/2013 Circuit Theorems Prepared by John Chan Email:ecychan@ntu.edu.sg 1 2 - A simple electric circuit is shown in Fig. 1. - It consists of three basic elements: a battery‚ a lamp‚ and connecting wires. - In this course‚ we are going to learn various analytical
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decimal place-value system first appears. Several centuries later‚ the Muslim mathematician Abu Rayhan Biruni described the Aryabhatiya as a "mix of common pebbles and costly crystals".[95] In the 7th century‚ Brahmagupta identified the Brahmagupta theorem‚ Brahmagupta’s identity and Brahmagupta’s formula‚ and for tboth a placeholder and decimal digit‚ and explained the Hindu-Arabic numeral system.[96] It was from a translation of this Indian text on mathematics (c. 770) that Islamic mathematicians
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2000. “Electrical Engineering for all Engineers.” John Wiley and Sons‚ Inc.‚ Second Edition N/A. (2013). Electrical Engineering. In Maximum Power Transfer Theorem. Retrieved September 6‚2013‚ from http://www.electrical4u.com/maximum-power-transfertheorem/. Wayne Storr. (September 2013). Electronics-Tutorial. In Maximum Power Transfer Theorem. Retrieved September 6‚2013‚ from http://www.electronicstutorials.ws/dccircuits/dcp_9.html. N/A. (June 11‚2010). Digilent. In Maximum Power Transfer. Retrieved
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Al-Karaji (953–1029).It was later repeated by the Persian poet-astronomer-mathematician Omar Khayyám (1048–1131); thus the triangle is referred to as the Khayyam-Pascal triangle or Khayyam triangle in Iran. Several theorems related to the triangle were known‚ including the binomial theorem. Khayyam used a method of finding nth roots based on the binomial expansion‚ and therefore on the binomial coefficients. Pascal’s triangle was known in China in the early 11th century through the work of the Chinese
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MATH INVESTIGATION 4.2 FACTORIZATIONS on the Math Investigator determines if a number is prime or composite. If a number is composite‚ it prints all its factors‚ the number of factors‚ and its prime factorization. The numbers 1‚ 2‚ 4‚ and 6 have 1‚ 2‚ 3‚ and 4 factors‚ respectively: 1 has only 1 as a factor; 2 has 1 and 2 as factors; 4 has 1‚ 2‚ and 4 as factors; and 6 has 1‚ 2‚ 3‚ and 6 as factors. These factors are illustrated by the rectangles shown here. Starting Points for Investigations
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Contributions of the Six Giants Thales of Miletus * He founded the geometry of lines‚ so is given credit for introducing abstract geometry. * Developed the first general theorems in geometry. * He was the first to demonstrate the truth of geometric relationship by showing that it flowed in a logical and orderly fashion from a set of universally accepted axioms called postulates Pythagoras
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laws of logic. A falsehood must therefore be any statement or claim that cannot be sustained by a valid logical process with the given assumptions. Let’s take the example of Pythagoras‚ whose famous theorem is ubiquitous to this day. Pythagoras assumed a Euclidean plane system and used past theorems to prove his own. It is not his proof that will be the focus of this essay‚ but the process. Pythagoras developed his proof through the method of abstraction‚ that is‚
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Fig.1 Ramsey’s theorem states that if p‚q≥2 are integers‚ then there is a positive integer n such that if we color the edges of kn using two colors‚ red and blue‚ it is impossible to color the edges of the kn without forming either a red kp or a blue kq. In short we formulate it as kn[pic]kp‚kq (read as kn arrows kp‚kq). The smallest value of such n is denoted by r(p‚q)‚known as the Ramsey number. A famous example for the two color Ramsey theorem is k6 which arrows k3‚k3.
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