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Tyrant4life
15.12.2020 •
Mathematics
There is 10 inches of water in a bucket. The water is leaking out of the bucket at a rate of 1 inch per hour. How many hours will it take for the bucket
to fully empty?
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Ответ:
Step-by-step explanation:
From the figure, the inscribed circle is the circle inside the square. So, the radius of the inscribed circle is half the side of the square. That is 4 cm.
The circumscribed circle is the circle outside the square and its radius is half the diagonal of the square. Since the square has a side length of 8 cm, the diagonal is computed as follows, using Pythagorean Theorem using half of the square taking the diagonal as the hypotenuse.
d=\sqrt{8^2+8^2}=\sqrt{64+64}=\sqrt{128}d=
8
2
+8
2
=
64+64
=
128
The radius is half the diagonal. So, the radius is
\:r=\frac{\sqrt{128}}{2}=\sqrt{\frac{128}{4}}=\sqrt{32}\:r=
2
128
=
4
128
=
32
or (32)^(1/2).