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At 2:10, the minute hand and hour hand of a clock form the angle that is:a5b6c7d8

Question

At 2:10, the minute hand and hour hand of a clock form the angle that is:

a b c d

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Solution

To solve this problem, we need to understand how the hands of a clock move.

  1. In one hour, the minute hand makes a full circle, which is 360 degrees. So, in one minute, the minute hand moves 360/60 = 6 degrees.

  2. The hour hand makes a full circle in 12 hours. So, in one hour, the hour hand moves 360/12 = 30 degrees. And in one minute, the hour hand moves 30/60 = 0.5 degrees.

  3. At 2:10, the minute hand is on the '2', and the hour hand is 1/6 of the way between '2' and '3'.

  4. The angle between each number on the clock is 360/12 = 30 degrees.

  5. So, the angle between the minute hand and the hour hand is 30 - (10 * 0.5) = 30 - 5 = 25 degrees.

So, none of the options a5b6c7d8 are correct. The correct answer is 25 degrees.

This problem has been solved

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