Solve the problem.What is the minimum force required to prevent a ball weighing 19.7 lb from rolling down a ramp which is inclined 36.4° with the horizontal? Round to the nearest tenth of a pound.

A. 5.9 lb
B. 8 lb
C. 15.9 lb
D. 11.7 lb


Answer: D

Mathematics

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Identify a method whereby a random sample can be selected from the population.The organizer of a contest would like to select a random sample of 20 prizewinners from the 627 contestants who correctly answered all questions.

A. Select the first 20 contestants whose names begin with the letter C. B. Choose the 20 responses which have the earliest postmark. C. Construct a spinner with ten 36° sectors numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Assign each contestant a number from 001 to 627. Generate a random sequence of three-digit numbers by repeatedly spinning the spinner 3 times. Ignore any number greater than 627, any number already obtained, or 000. When 20 appropriate numbers have been generated, they can be used to identify the contestants to be included in the sample.

Mathematics

Solve the problem.Find the sum of the first 10 terms of the arithmetic sequence with first term 11 and common difference -4.

A. 125 B. -70 C. -125 D. 290

Mathematics

Solve the problem. Use 3.14 for ?.A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a radius of  How far does the skater go one time around the figure eight?

A. 21.98 ft B. 19.98 ft C. 43.96 ft D. 87.92 ft

Mathematics

Find the perimeter.

A. (4x2 + 8x - 4) units B. (x2 + 4x - 2) units C. (x4 + 4x2 - 2) units D. (x4 + 8x2 - 4) units

Mathematics