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How many degrees does the hour hand of a clock turn in 5 minutes?

Answer 1

Aaliyah Anderson

#360/144 = 2.5^@#

Each hour is #1/12# of a complete circle for the hour hand (on a standard #12# hour clock).

#5# minutes is #1/12# of an hour.

So in #5# minutes, the hour hand moves #1/12*1/12 = 1/144# of a complete circle.

A complete circle is #360^@#, so this is #360/144 = 2.5^@#

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Answer 2

Wyatt Anderson

#2.5°# in #5# minutes

What fraction does #5# minutes represent of a full revolution of the hour hand?

The hour hand rotates #360°# in #12# hours.

This is #12xx60 = 720# minutes

Therefore #5# minutes is

#5/720 xx 360° = 2.5°#

The same result is obtained if we determine through how many degrees the hour hand turns in #1# hour:

#360 div 12 = 30°# in one hour

#5# minutes is #1/12# of an hour.

#1/12 xx 30° = 2.5°#

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Answer 3

Autumn Armstrong

The hour hand of a clock turns 30 degrees in 5 minutes.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.