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Oct 2002
Oct 2002

... 2. The maximum possible value for a × c , if a, b, and c are replaced by the numbers 2, 3, and 5, is 486. 3. Using the second clue, we know that the candidates for b, d, f, and h must be the single digit primes 2, 3, 5, and 7. Similarly, a, c, d, and e must be the evens 0, 2, 4, 6, and 8. Since 2 is ...
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... Use trigonometric ratios to find angle measures in right triangles and to solve real-world problems. ...
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... To be a true conditional statement, the conclusion must be true EVERY time the hypothesis is true. One counterexample is enough to prove a conditional false. Counterexample: an example that shows the statement is __________________. Practice 2) Provide a counterexample to show each statement is fals ...
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1) The ratio of the side lengths of a quadrilateral is 2
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... through any two points there is always a line and every line contains at least two points. Line segment is part of a line and it contains two endpoints meaning it has a beginning and endpoints. A line contains an infinite number of points and has no endpoints and goes on and on forever. A ray is par ...
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... A – Inductive Reasoning B – Deductive Reasoning • John knows that multiplying a number by -1 changes the sign of the number. He reasons that multiplying a number by an even power of -1 will change the sign of the number an even number of times. He concludes that this is equivalent to multiplying a ...
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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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