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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
Polynomials in two variables Let's take a look at polynomials in two variables. Polynomials in two variables are algebraic expressions containing terms in the form ax n y m
How will you find the vertex of a parabola given in 2nd degree form (the axis of parabola is not parallel to coordinate axes)? Ans) Write the equation in type of standard form.
Compute the value of the following limit. Solution: Notice as well that I did say estimate the value of the limit. Again, we will not directly compute limits in this sec
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If tanA+sinA=m and m2-n2 = 4vmn, show that tanA-sinA=n
The larger of two supplementary angles exceeds the smaller by 180, find them. (Ans:990,810) Ans: x + y = 180 0 x - y = 18 0 -----------------
Hypergeometric Distribution Consider the previous example of the batch of light bulbs. Suppose the Bernoulli experiment is repeated without replacement. That is, once a bulb is
A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?
if each tile with aside that measures one foot, how many tiles will be needed?
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