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Anna [14]
4 years ago
6

What is the length of the base of a yield sign that has a height of 14 inches and has an area of 84 square inches? Write the num

ber only.
Mathematics
2 answers:
Ann [662]4 years ago
8 0
6 is the answer.

To find area it's
base x height

So if area is already found it's
area divided by height ( or base )

So

84 divided by 14 = 6
Rufina [12.5K]4 years ago
4 0
That's simple, it is 6. Hope this helps.
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Successive terms have a common factor of -\dfrac23, which means the nth partial sum of the series can be written as

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S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}

\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)

\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)
\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)
S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)

As n\to\infty, the geometric term vanishes, leaving you with

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