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kvasek [131]
3 years ago
6

The length of a rectangle is 6 yards more than 8 times the width. The perimeter is 102 yards. Find the length and width.

Mathematics
1 answer:
dalvyx [7]3 years ago
4 0
L•w=102
l=8w+6
8w+6•w=102
9w+6=102
102-6=96
9w=96
96/9= 10.67
Width is 10.67 yards
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Let S_n denote the nth partial sum of the series, i.e.

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Then

\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}

and subtracting from S_n we get

S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}
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As n\to\infty, the exponential term vanishes, leaving us with

\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9

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