Solve.A triangle has a base 2 cm more than the height. Assuming that the area of the triangle is 12 cm2, find the measure of the base. Note: Use the formula A =  to assist you. 

A. 4 cm
B. 6 cm
C. 2 cm
D. 7 cm


Answer: B

Mathematics

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Find the standard quota asked for. Round your answer to two decimal places if necessary.A small country consists of seven states; there are 164 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown in the table.Find the standard quota for state C.

A. 37.45 B. 30.49 C. 36.79 D. 33.42

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Simplify.

A. 4p + 8q
B.
C. 8p + 4q
D.

Mathematics

In the following ?ABC, where?3 is the exterior angle of ?B the following must be true:


(a) <1 > <2
(b) <3 > <2
(c) <3 > <1
(d) <2 > <1
(e) <1 > <2 = <3
(f) Both (a) and (b) are correct.
(g) Answers (b), (c) and (e) are all correct.

Mathematics

Determine whether the improper integral is convergent or divergent, and calculate its value if it is convergent.

Mathematics