The Pythagorean Scale a mathematical method that is used to create all the notes of the musical scale from the harmonic series; this scale is called the Pythagorean Scale. The naturally happening harmonics are whole number multiples. To get the other notes of the scale‚ we must use fractions. The harmonic series gives us the ability to create periods of time of perfect 5ths‚ the ratio of 3/2f‚ "f" being the starting frequency. By using these 5ths‚ we can create the pythagorean scale. We can
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to Castle Rock‚ walk x paces to the north‚ and then walk 2x - 4 paces to the east. If they share their information then they can find x and save a lot of digging. What is x? Given this scenario the Pythagorean Theorem would be the strategy we use to solve for x. I started off with the Pythagorean Theorem. I then plugged the binomials into the Pyth. Thrm. Next I moved (2+6)^2 to le left of the equation by subtracting (2x+6)^2 from both sides. I then squared the expression Next I foiled the
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findings that have forever changed the way we think and see the world today. One major way she contributed to the development of mathematics is by building on to the work of an earlier mathematician‚ an Egyptian named Diophantus. Diophantus worked with quadratic equations and equations having multiple solutions; these equations are known as indeterminate equations. For example‚ the problem of changing a one-hundred-dollar bill into twenties‚ tens‚ fives and ones leads to an indeterminate equation because
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ancient Greek mathematician and philosopher. Pythagoras was responsible for important developments in the history of mathematics‚ astronomy‚ and the theory of music. The thing that Pythagoras is probably the most famous for is the Pythagorean Theorem. The Pythagorean Theorem is used in the field of mathematics and it states the following: the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. This means that if one makes a square (with all sides
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While both the Egyptian and Babylonian time periods certainly influenced future mathematics‚ it seems to be Babylon that had the most to offer. Egypt achieved many feats that required skill in mathematics‚ but it isn’t completely clear how they came about these as their use of papyrus meant much information did not survive. This doesn’t mean that they didn’t influence the societies and people that came after or from them. It is simply that because of the limited information about their mathematic
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Treasure Hunt: Finding the Values of Right Angle Triangles This final weeks course asks us to find a treasure with two pieces of a map. Now this may not be a common use of the Pythagorean Theorem to solve the distances for a right angled triangle but it is a fun exercise to find the values of the right angle triangle. Buried treasure: Ahmed has half of a treasure map‚which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map
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Her half indicates that to find the treasure‚ one must get to Castle Rock‚ walk x paces to the north‚ and then walk 2x + 4 paces to the east. If they share their information‚ then they can find x and save a lot of digging. What is x? The Pythagorean Theorem states to find the missing side of a right triangle you can square to know lengths and add the two together. The result will be the distance of the missing length squared. A^2+b^2=C^2 We know that Ahmed has a map with a distance to
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Rock. When she get there to walk x paces to the north‚ and then walk 2x + 4 paces to the east. I wonder what X could equal to‚ if Ahmed and Vanessa come together in finding the treasure they would save a lot of time of digging. In this Pythagorean equation we will see how far Ahmed would walk 2x+6 paces and Vanessa would have to walk 2x+4‚ x in desert to find the Castle Rock. Ahmed and Vanessa would need equipment for their journey they will use rope‚ compasses and sticks with colored flags
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ACKNOWLEDGEMENT subcontinent is the Indus Valley Civilization that flourished between 2600 and 1900 BC in the Indus river basin. Their cities were laid out with geometric regularity‚ but no known mathematical documents survive from this civilization. The oldest extant mathematical records from India are the Sulba Sutras (dated variously between the 8th century BC and the 2nd century AD)‚ appendices to religious texts which give simple rules for constructing altars of various shapes‚
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Dq 2 week 1 I would explain that when multiplying polynomial is when all the variables have integer exponents that are positive. This works with addition‚ subtraction and multiplication. It has to be possible to write the equation without division for it to be a polynomial. This is an example of what a polynomial looks like: 4xy2+3X-5. To multiply two polynomials‚ you must multiply each term in one polynomial by each term in the other polynomial‚ and then add the two answers together. After
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