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Vsevolod [243]
3 years ago
6

One path has a diameter of 120 yards, and the other has a radius of 45 yards. How much farther can Sarah walk on the longer path

that the shorter path if she walks around the path once?
Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

First find the circumference by pi r squared.

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3 0
3 years ago
Can you help me<br>I don't really know this question very good so can you help me please
amid [387]

Answer:

1.92 miles

Step-by-step explanation:

she had walked 10 miles so that is where you start

Monday she had walked 2.38 so you subtract that from her total

Tuesday she had walked 2.4 so you subtract that from your new total

Wednesday she had walked 3.3 and you subtract that from the new total also

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8 0
3 years ago
Find the area of the region that lies inside the first curve and outside the second curve. r = 6 − 6 sin θ, r = 6
yan [13]
Each curve completes one loop over the interval 0\le t\le2\pi. Find the intersections of the curves within this interval.

6-6\sin\theta=6\implies 1-\sin\theta=1\implies \sin\theta=0\implies \theta=0,\theta=\pi

The region of interest has an area given by the double integral

\displaystyle\int_\pi^{2\pi}\int_6^{6-6\sin\theta}r\,\mathrm dr\,\mathrm d\theta

equivalent to the single integral

\displaystyle\frac12\int_\pi^{2\pi}\bigg((6-6\sin\theta)^2-6^2\bigg)\,\mathrm d\theta

which evaluates to 9\pi+72.

8 0
3 years ago
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