known as Pascal’s Triangle. Pascal’s major input to the philosophy of mathematics came with his “Of the Geometric Spirit””.1 Blaise Pascal was also a major contributor to the founding of Statistics. Blaise Pascal contributed to mathematics in many ways‚ but one of the most important contributions he made was the creation of Binomial Coefficients; now known as Pascal’s Triangle. “Pascal’s triangle determines the coefficients which arise in binomial expansions”.1 Pascal’s Triangle has advanced dimension
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PPT 2 World Ocean keeps many secrets‚ the first among them is the mystery of the Bermuda triangle. The Bermuda Triangle‚ also known as the Devil’s Triangle‚ is a region in the western part of the North Atlantic Ocean. It is in this area that a high number of unexplained disappearances of planes‚ ships and people have taken place. PPT 3 Located in the Atlantic Ocean‚ the Bermuda Triangle falls between Bermuda‚ Puerto Rico and Florida. The Bermuda Triangle’s three corners extend from the island
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fence‚ bridge and rail 4. Perimeter fence 5. Grass. Decking and Border The decking area consists of two right angle triangle. The two edges around the decking are equal in length. I need to work out the length of the edges and the area of the decking‚ how much materials required and cost. In the 1st triangle marked A‚ I need to work out the length the opposite side of the triangle with the angle 69º. I will do this by using trigonometry tan equation. Tan ɵ = Tan 69 = If I subtract 4m from the
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HYPERBOLIC GEOMETRY AND OMEGA TRIANGLES Hyperbolic geometry was first discovered and explored by Omar Khayyam in the 9th century and Giovanni Gerolamo Saccheri in the 15th century. Both were attempting to prove Euclid’s parallel postulate by proving the concept of hyperbolic geometry to be inconsistent‚ and ironically they discovered it to be a new type of geometry. It wasn’t until the 19th century that it became fully developed with help from Karl Friedrich Gauss‚ Janos Bolyai‚ and Nikolai
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angle is defined as the ratio of the opposite side to the hypotenuse. So‚ 7. Use a special right triangle to express sin decimal to the nearest hundredth. as a fraction and as a SOLUTION: Draw and label the side lengths of a 30°-60°-90° right triangle‚ with x as the length of the shorter leg. Then the longer leg measures and the hypotenuse has a measure 2x. ANSWER: 7. Use a special right triangle to express sin decimal to the nearest hundredth. as a fraction and as a The side opposite the 60° angle has a measure of
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Right Triangle Trigonometry Trigonometry is a branch of mathematics involving the study of triangles‚ and has applications in fields such as engineering‚ surveying‚ navigation‚ optics‚ and electronics. Also the ability to use and manipulate trigonometric functions is necessary in other branches of mathematics‚ including calculus‚ vectors and complex numbers. Right-angled Triangles In a right-angled triangle the three sides are given special names. The side opposite the right angle is called the
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It has been widely accepted that the Minoans participated in ritual actions‚ as it was such a huge part of the Minoan religion. Details of these ritual actions can often be found in iconography. Rutkowski (1986: 81). It has been argued that a lot‚ if not all the iconography that represents peak sanctuaries has been found only in Minoan palaces. Therefore‚ suggesting that there is a link between palaces and peak sanctuaries. Peatfield (1984: 89-90). From this iconography as well as some literary evidence
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Fountain 2.2 Tossing a Coin 3. Nazca Lines 3.1 Nazca Lines Map Extract 4. UFO Existence Mystery 4.1 Top UFO Incidents through History 5. Mystery Spot in Santa Cruz 5.1 The Special‚ Mysterious and Debatable Spot 6. The Bermuda Triangle 6.1 Rumors behind The Bermuda Triangle 6.2 Disappearances 7. Conclusions 8. References 1 1 2 2 2 3 3 3 5 5 5 6 6 7 8 1. Introduction It’s a peaceful world‚ isn’t it? Everything goes smoothly‚ perfectly and we never have to wonder about abnormalities‚ right
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environment/vector all have to interact at the same time. The vector-borne disease triangle illustrates that without one corner‚ the transmission of the disease would not be possible. This triangle includes hosts‚ environments/vectors‚ and pathogens. Hosts are often humans‚ dogs‚ or monkeys and are fed on by a vector. Vectors usually include mosquitos‚ fleas‚ ticks‚ mites‚ and many more. The last part of the triangle is pathogens‚ these consist of viruses‚ bacteria‚ fungus‚ filarial worms‚ and protozoa
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coefficient of each term is a positive integer‚ and the sum of the exponents of x and y in each term is n. For example: The coefficients appearing in the binomial expansion are known as binomial coefficients. They are the same as the entries of Pascal’s triangle‚ and can be determined by a simple formula involving factorials. These numbers also arise in combinatorics‚ where the coefficient of xn−kyk is equal to the number of different combinations of k elements that can be chosen from an n-element set.
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