3 years ago

A pool in the shape of s rectangle has a perimeter 80 feet. The pool is 8 feet less wide than it is long

Mathematics

2 answers:

Bezzdna [24]3 years ago

5 0

Length is 24 and width is 16

kykrilka [37]3 years ago

3 0

So, 80 - 8. equals 72 / 2 = 36... then add 36 + 8 to one and you have 44...
44 for length and 36 for width

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The second term in a geometric sequence is 20. The fourth term in the same sequence is 11.25. What is the common ratio

damaskus [11]

Let $a_n$ be the n'th term of the sequence.

so $a_1$ is the first term, $a_2$ the second term and so on...

In a geometric sequence with $a_1=c$ , and common ratio r, the terms are as follows:

$a_1=c$
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$a_3=c r^{2}$
$a_4=c r^{3}$
.
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that is, each term is its previous term times the common ratio r.

In our example

$a_2=cr=20$ and $a_4=c r^{3}=11.25$

$\frac{a_2}{a_4}= \frac{cr}{c r^{3}}= \frac{1}{ r^{2}}= \frac{20}{11.25}= 1.778$

so $r^{2} =1/1.778=0.56$

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Answer: r=0.75

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