The satellite photos seemed to indicate

Mathematics

1 answer:

Dafna1 [17]3 years ago

8 0

Answer:the warehouse's width is 100 feet.

Step-by-step explanation:

Let L represent the length of the rectangular warehouse.

Let W represent the width of the rectangular warehouse.

The rectangular warehouse was 20 feet longer than 3 times its width. This means that

L = 3W + 20

The perimeter of a rectangle is

the sum of all its sides. Therefore, the formula for determining the perimeter of a rectangle expressed as

Perimeter = (L + W)

If the perimeter of the warehouse was 840 feet, it means that

2(L + W) = 840

Dividing through by 2, it becomes

L + W = 420- - - - - - - - 1

Substituting L = 3W + 20 into equation 1, it becomes

3W + 20 + W = 420

4W = 420 - 20

4W = 400

W = 400/4 = 100

You might be interested in

suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily

Ksenya-84 [330]

Answer: Option A: 8.04% compounded daily

<u>Step-by-step explanation:</u>

$A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79$

$Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37$