A 95-ft tree casts a shadow that is 45 ft long. What is the angle of elevation of the sun?

(a) 58.7°
(b) 25.3°
(c) 64.7°
(d) 47.3°
(e) 88.7°


(c) 64.7°

Mathematics

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Explain how to obtain the graph of the given quadratic function from the graph of f(x) = -2(x + 9)2 + 6

A. Take the graph of y = x2 and shift it 9 units to the right, shift it 6 units up, vertically stretch it by a factor of +2, and the graph will open downward. B. Take the graph of y = x2 and shift it 9 units to the left, shift it 6 units up, vertically compress it by a factor of +2, and the graph will open downward. C. Take the graph of y = x2 and shift it 9 units to the right, shift it 5 units down, vertically stretch it by a factor of +2, and the graph will open upward. D. Take the graph of y = x2 and shift it 9 units to the left, shift it 6 units up, vertically stretch it by a factor of +2, and the graph will open downward.

Mathematics

Multiply.(6i)(9i)

A. -15 B. 54 C. -54 D. 15

Mathematics

Multiply and simplify. ? 

A.
B.
C.
D.

Mathematics

Solve the problem.At Allied Electronics, production has begun on the X-15 Computer Chip. The total cost function is given by  and the total profit function is given by , where x represents the number of boxes of computer chips produced. The total revenue function, R(x), is such that . Find R(x).

A. R(x) = 39x - 0.6x2 B. R(x) = 40x + 0.3x2 C. R(x) = 40x - 0.3x2 D. R(x) = 42x - 0.3x2

Mathematics