Provide an appropriate response.In right triangle ABC, with right angle C, side a = 12, b = 16, and c = 20, find the tan B expressed as a fraction in lowest terms.

Fill in the blank(s) with the appropriate word(s).


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Mathematics

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Find the requested probability.A box contains the following mixture of colored marbles: 2 black, 3 red, 5 yellow, and 2 green. If two marbles are drawn, the second being drawn after the first is replaced, then what is the probability that both are black?

A.
B.
C.
D.

Mathematics

Solve the problem.The population of a particular city is increasing at a rate proportional to its size. It follows the function  where k is a constant and t is the time in years. If the current population is 26,000, in how many years is the population expected to be 65,000?

A. 55 yr B. 8 yr C. 3 yr D. 5 yr

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Perform the indicated operation.(-2x2y4)(-5x3y2)

A. 10xy5 B. 10xy6 C. 10x5y6 D. 10x6y5

Mathematics

Find the slope of the line.4x + 2y = 22

A. - 2
B.
C. 11
D. 2

Mathematics