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The angle between the hands of a clock at 4:30 is _______.A. 30oB. 35.5oC. 37.5oD. 40o

Question

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Solution

To find the angle between the hands of a clock at 4:30, you can use the formula:

Angle = |30H - 11/2 M|

where H is the hour and M is the minute.

So, for 4:30, the calculation would be:

Angle = |30*4 - 11/2 * 30| = |120 - 165| = 45 degrees

However, this is not one of the options given. The formula above gives the larger angle between the hands, but a clock has two "angles" - one smaller, one larger. The smaller angle is simply 360 - the larger angle.

So, the smaller angle is 360 - 45 = 315 degrees.

Again, this is not one of the options given. It seems there may be a mistake in the question or the answer choices.

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