Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.Find tan B when a = 4 and b = 7.

A.
B.
C.
D.


Answer: C

Mathematics

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Solve the problem.Given the cost function, C(x), and the revenue function, R(x), write the profit function from producing and selling x units of the product. C(x) = 2000x + 78,000 R(x) = 8000x

A. P(x) = 6000x + 78,000 B. P(x) = -6000x + 78,000 C. P(x) = -6000x - 78,000 D. P(x) = 6000x - 78,000

Mathematics

Solve the equation.|12 - 4p|= 8

A. {-5, - 1} B. {1, 5} C. {-5, 1} D. {5}

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Find the domain of the function and identify any vertical and horizontal asymptotes. ? ?

A. Domain: all real numbers x except x = 0Vertical asymptote: x = ±7Horizontal asymptote: No horizontal asymptote B. Domain: all real numbers x except x = ±7Vertical asymptote: x = ±7Horizontal asymptote: No horizontal asymptote C. Domain: all real numbers x except x = 7Vertical asymptote: x = 7Horizontal asymptote: y = 7 D. Domain: all real numbers xVertical asymptote: x = -7Horizontal asymptote: y = 0 E. Domain: all real numbers x except x = 0Vertical asymptote: x = 0Horizontal asymptote: y = -49

Mathematics

Find all relative maxima or minima.y = (ln 3x)2

A. (-2, 0), relative minimum B. (1, 0), relative minimum C. (1/3, 0), relative minimum D. (3e, 0), relative minimum

Mathematics