Use the fact that 4 cos2(2π/5) + 2 cos(2π/5) -1 = 0 to prove thata regular pentagon is constructible.

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A: Both the question are different so I solve only 1st if you want remaining please repost it.

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Q: 4. Prove that multiplication is monotonic, that is, for all m, n, and p, m≤n m.p≤n.p.

A: Not true if p is not assumed to be positive. We examine the detail and give a proof in step 2.

Q: √50 Simplify fully 3-√80 Simplify fully Simplify fully √18x√√8 Simplify fully √18+√8

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Q: Define the following sets as: A = {1,2,3,4,5} B = {4,5,6} C = {0,1} Type an element of B x A x C

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Q: Define the following sets as: A = {1, 2, 3, 4, 5} B = {4,5,6} C = {0,1} Type an element of B x C x A

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Q: Find z, if z = xyeỹ, x = rcos(t), y = rsin(t), when r = 2 and t 6

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Q: Question 4 Let R be the region bounded by the curves y = 3x and y = x² + 1 in the first quadrant.…

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Q: 5. 6x²5x-50 15x²-44x-20 • 20x²-7x-6 2x² + 9x + 10

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Q: In each of Problems the given equation. 18. (3x²y+2xy 18 through 21, find an integrating factor and…

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Q: þetermine if the following system is invertible. If yes, construct the inverse system; If not,…

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Q: Construct the difference table from the given data    1. x 0 5 1 4 3 f(x) 1 -14 -6 -15…

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Q: 51. Exploring Hidden Behavior Solving graphically, find all real solutions to the following…

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