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What is Pythagorean Triples?
A set of three numbers a, b, and c that can satisfy the equation
A2+b2= c2, is called a Pythagorean triple. The following is a list of some Pythagorean triples: n is any natural number (n= 1,2,3) Example 1: Given a right triangle, where a=6 and b=8, find side c, using Pythagorean triplets. If you factor 2 out of 6 (2 x 3) and 2 out of 8 (2 x 4), you get 3 and 4. These results are part of the Pythagorean triplet (3, 4, 5). The 3 sides match the triplet (3, 4, 5) by a multiple of 2.c = 2.5=10. Example 2: Given a right triangle, where a=15 and c=39, find b, using Pythagorean triplets. The greatest common factor in 15 and 39 is 3. Factor 3 out of 15 and out of 39, giving you 5 and 13. 5 and 13 are part of the Pythagorean triplet: (5, 12, 13). The missing number is 12 multiplied by 3.B= 3.12 =36
Method of disks or the method of rings One of the simple methods for getting the cross-sectional area is to cut the object perpendicular to the axis of rotation. Carrying out
Parametric Equations and Polar Coordinates In this part we come across at parametric equations and polar coordinates. When the two subjects don't come out to have that much in
Temperature: On one day in Fairfield, Montana the temperature dropped 80 degree fahrenheit from noon to midnight. If the temperature at midnight was -21 degree fahrenheit, write an
Illustrates that each of the following numbers are solutions to the following equation or inequality. (a) x = 3 in x 2 - 9 = 0 (b) y = 8 in 3( y + 1) = 4 y - 5 Solution
Solve the equation for x and check each solution. 2/(x+3) -3/(4-x) = 2x-2/(x 2 -x-12)
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Explain Histogramsin details? Another way to display frequencies is by using a histogram. The following is an example of a histogram using the data from the previous example:
A toy company produces 2 models of water guns: spray king and zapper. They are manufactured in batches for easier packaging and sale. Two of the limiting resources are 1200 pounds
Fundamental Theorem of Calculus, Part II Assume f(x) is a continuous function on [a,b] and also assume that F(x) is any anti- derivative for f(x). Hence, a ∫ b f(x) dx =
If angle between asymtotes of hyperbola x^2/a^2-y^2/b^=1 is 120 degrees and product of perpendicular drawn from foci upon its any tangent is 9. Then find the locus of point of inte
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