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BlackZzzverrR [31]
2 years ago
15

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t

he preimage?
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
7 0
Central angle of a regular polygon:
Ф = 360° : n. 
If n=12:  Ф = 360° : 12 = 30°
At the angle of rotation Ф = 30°  the image of the polygon will coincide with the preimage.
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Answer:

12 minutes

Step-by-step explanation:

Since it takes 4 minutes to fill the bathtub with both taps on and stopper is in then for each minute the 2 taps can fill up to a quarter (1/4) of the tub:

Similarly, it takes 6 minutes to drain the tub with both taps off and the stopper is out. This means for each minute the stopper can drain one sixth (1/6) of the tub.

Therefore, when both taps are on and the stopper is out, then for each minutes, the amount of water remaining in the tub is the water flowing in minus the water draining out

\frac{1}{4} - \frac{1}{6} = \frac{3}{12} - \frac{2}{12} = \frac{1}{12}tub

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Answer:

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Step-by-step explanation:

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