Posted by Anonymous on Tuesday, July 17, 2012 at 11:10pm.
a^2 + b^2 = c^2.
(20)^2 + (5x-10)^2 = (2x*sqrt5)^2
400 + 25x^2 - 100x + 100 = 20x^2
25x^2 - 100x + 500 = 20x^2
Divide both sides by 5:
5x^2 - 20x + 100 = 4x^2
5x^2 - 4x^2 - 20x + 100 = 0.
x^2 - 20x +100 = 0
(x-10)(x-10) = 0.
x - 10 = 0
X = 10.
2. We form a rt triangle:
X = Hor side.
Y = Ver side or dist. from base.
Z = Hyp. = pi*D = 3.14*5 = 15.7 Ft.
Y = Z*sin15 = 15.7*sin15 = 4.07 Ft.
4. 390 Deg.
750 - 360 = 390 Deg.
Answer: C.
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