Refer to the figure in which O is the center of the circle, ray PA is a tangent, m?BOC = 80°, PE = 10 ft, PD = 12 ft, PB = 19 ft, ER = 4 ft, ER = 4 ft, and BR = 5 ft.



Find m?DPE

(a) 20°

(b) 40°

(c) 60°

(d) 90°


(a) 20°

Mathematics

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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = 7

A. y = u7; u = 4x2 -  - x;  = 76
B. y = 4u2 -  - u; u = x7 = 8x14 -  - x7
C. y = u7; u = 4x2 -  - x;  = 76
D. y = u7; u = 4x2 -  - x;  = 76

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Write as a number.Forty thousand, two hundred forty-five.

A. 4245 B. 400,245 C. 40,245 D. 40,045

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Find the root. Assume that all variables represent nonnegative real numbers. 

A. 9x4y2 B. not a real number C. 3x2y4 D. 4.264x2y4

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Solve the problem.A projectile is fired from a cliff 300 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 350 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. Find the maximum height of the projectile.

A. 957.03 ft B. 1257.03 ft C. 3171.09 ft D. 1914.06 ft

Mathematics