a clock starts at 5:05. what time is it after the minute hand rotates 12 degrees

12 degrees is 1/30th of an hour.

so, ...

5:07 (assuming the clock is moving forward, clockwise)

2/5

To determine the time after the minute hand rotates 12 degrees, let's first understand that the minute hand moves 360 degrees in 60 minutes, which is equivalent to 6 degrees per minute. Therefore, if we know that the minute hand moves 6 degrees per minute, we can calculate the time when it rotates 12 degrees as follows:

Since the minute hand moves 6 degrees per minute, we divide 12 degrees by 6 degrees per minute:

12 degrees ÷ 6 degrees/minute = 2 minutes

Therefore, after the minute hand rotates 12 degrees, it will be 2 minutes later. Starting with 5:05, adding 2 minutes gives us the time:

5:05 + 2 minutes = 5:07

So, it will be 5:07 after the minute hand rotates 12 degrees.