Question

How do they come across this answer 2 revs, 720 degrees, 1/4 revs, and 90 degrees?

A. 180°, 360°, 90°, 180°

B. 720°, 360°, 180°, 90°

C. 360°, 180°, 90°, 720°

D. 90°, 180°, 720°, 360°

Answer 1

The correct answer is option B, as it converts revolutions into degrees: 2 revolutions equals 720 degrees, 1 revolution equals 360 degrees, and 1/4 revolution equals 90 degrees. The last part, 90 degrees, stays the same.

Step-by-step explanation:

This question involves converting revolutions and parts of revolutions into degrees. One complete revolution is 360 degrees. Therefore:

• 2 revolutions would be 2 x 360 degrees = 720 degrees.
• 1 revolution is already known to be 360 degrees.
• 1/4 revolution is 1/4 of 360 degrees, which is 90 degrees.
• The last part of the sequence, which is 90 degrees, remains unchanged.

So the sequence 2 revolutions, 1 revolution, 1/4 revolution, and 90 degrees converts to 720 degrees, 360 degrees, 90 degrees, and 90 degrees respectively, which closely matches option B, except for the last value where it should be 90 degrees instead of 180 degrees according to the conversion. This might be a typographical error in the question. If we strictly follow the provided conversions, the correct sequence would be 720 degrees, 360 degrees, 90 degrees, and 90 degrees, which is not listed as an option but closest to option B.