For a regular pentagonal prism, the base has an apothem of length 8.2 cm and a side of length 12 cm. If the altitude of the prism is 15 cm, find the volume of the pentagonal prism.[Hint: For the base, recall that .]

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3690

Mathematics

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Solve the problem.John does 5 pushups on the first day of a 30-day month, and then increases the number of pushups by 3 pushups a day. How many pushups has he done by the end of the month?

A. 1545 B. 1450 C. 1500 D. 1455

Mathematics

Combine the complex numbers.(2 - 6i) + (6 + 2i)

A. -4 + 8i B. 8 - 4i C. 8 + 4i D. -8 + 4i

Mathematics

A machine used in a manufacturing process produces 10% defective items. If 5 items are selected at random, find the probability no more than 2 are defective.

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Mathematics

Determine whether the pair of triangles is congruent by the SSS property.

A. Yes B. No

Mathematics