Solve the problem.A building 290 feet tall casts a 100 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)

A. 19°
B. 70°
C. 71°
D. 20°


Answer: A

Mathematics

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Provide an appropriate response. Solve for x: 24 + x = 3x + 48

A. -12 B. 6 C. 12 D. -6

Mathematics

Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x3 - 27x - 54

A. -3, multiplicity 2; -6; f(x) = (x + 6)
B. -3, multiplicity 2; 6; f(x) = (x - 6)
C. -6, -3, 3; f(x) = (x + 6)(x + 3)(x - 3)
D. -3, 3, 6; f(x) = (x + 3)(x - 3)(x - 6)

Mathematics

The graphs of a function f(x) and its derivative f'(x) are shown below. Decide which is the graph of f(x) and which is the graph of f'(x). 

A. Neither graph could be the derivative of the other. B. f(x) is the dashed line; f'(x) is the solid line. C. Either graph could be the derivative of the other. D. f(x) is the solid line; f'(x) is the dashed line.

Mathematics

Change the rational number to a decimal.

A. 0.111111. . . B. 0.090090. . . C. 0.909090. . . D. 0.090909. . .

Mathematics