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Eddi Din [679]
3 years ago
9

The time is 2:46 PM. What is the measure of the angle that the minute hand swept through since 2:00 PM?

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0
The minute hand has swept through 46 minutes on the clock. You have to set up a ratio to solve this:

\frac{46\ minutes}{60\ minutes} = \frac{x\ degrees}{360\ degrees}

You can compare the 60 minutes on a clock to 360 degrees because 60 minutes on a clock is one whole rotation. So then, you cross multiply and simplify:

\frac{46\ minutes}{60\ minutes} = \frac{x\ degrees}{360\ degrees}\\\\46*360=x*60\\16560=60x\\276=x

Therefore, the minute hand has swept through an angle with a measure of 276 degrees.

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