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Kobotan [32]
4 years ago
9

A gallon of stain can cover a square deck with an area 300 ft.² about how long is each side of the deck

Mathematics
1 answer:
mixas84 [53]4 years ago
4 0

The area of a square is the square of the length of any side.

A square with 300 square feet of area has sides
that are (√300) feet long.

( √300 ) feet = 17.32 feet (rounded) or  17-ft  3.85-in  (rounded).

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We will use the right Riemann sum. We can break this integral in two parts.
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We take the interval and we divide it n times:
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The area of the i-th rectangle in the right Riemann sum is:
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For the first part of our integral we have:
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For the second part we have:
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We can also write n-th partial sum:
S_n=(\frac{3}{n})^4\cdot \frac{(n^2+n)^2}{4} -6(\frac{3}{n})^2\cdot \frac{n^2+n}{2}

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