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3 years ago

A 189 square foot rectangular office has a length of 21 feet. What is the width of the office?

Mathematics

2 answers:

Marizza181 [45]3 years ago

6 0

189/21=9
The width is 9 ft

pochemuha3 years ago

4 0

$width=x\\\\
Area=length*width\\\\
189=21*x\ \ \ | divide\ by\ 21\\
x=9feet\\\\
Width\ is\ equal\ to\ 9\ feet.$

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timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

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