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3 years ago

15

The length of a rectangular swimming pool is 20 feet greater than the width. The surface area of the pool is 1,500 square feet.

What are the length and width of the pool?

1 answer:

Setler79 [48]3 years ago

5 0

Answer:

750

Step-by-step explanation:

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The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.

quester [9]

Answer: $ar^{n-1}=54(\dfrac{1}{3})^{n-1}$

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

$a_n=ar^{n-1}$ (1)

We are given that The first term in a geometric sequence is 54. i.e. a=54

5th term= $\dfrac{2}{3}$ (2)

Put n=5 and a= 54 in (1), we get

$a_5=(54)r^{4}=$ (3)

From (2) and (3), we have

$\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}$

Explicit form for the geometric sequence: $ar^{n-1}=54(\dfrac{1}{3})^{n-1}$

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Answer:

170.28

Step-by-step explanation:

1297-105=1192

1192 divided by 7=170.28

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What is the slope of the line passing through (-3, 5) and (5, -3)?

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The slope of the line is 1.

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Simplify the following rational number 1. 1/6+11/6+[5/-6]+7/6

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Answer:

18x+20=2

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Step-by-step explanation:

18(-1)=-18

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