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3 years ago

The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle

Mathematics

1 answer:

Dovator [93]3 years ago

7 0

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the<em> base and height </em>of the rectangle

We have two conditions:

(1) 2b+ 2h = 72 in

(2) b = 3h Substitute in (1)

2(3h) + 2h = 72 Remove parentheses

6h + 2h = 72 Combine like terms

8h = 72 Divide by 6

h = 9 in Substitute in(2)

b = 3 × 9

b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

A = 27 × 9

A = 243 in²

The area of the rectangle is 243 in².

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HELP ME PLZ<br> (50 POINTS)

Bogdan [553]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The formula for circumference is $\pi d$

1) $\pi d = 31.4$

Divide both sides by $\pi$

d = 9.99 (consider this to be 10)

Half this to find the radius

10/2 = 5

It would be figure B.

2) $\pi d = 37.68$

Divide both sides by $\pi$ :

d = 11.99 (consider this to be 12)

Divide by 2 to find the radius:

12/2 = 6

It would be figure C.

3) area = $\pi r^2$

$\pi r^2 = 153.86$

r^2 = 48.97515909

r = 6.998 (consider this to be 7)

It would be figure D

4) $\pi r^2 = 113.04$

r^2 = 35.98174

r = 5.998 (consider this to be 6)

It would be figure C.

5) radius = diameter / 2

radius = 3

$\pi (3)^2 = 28.27433$

It would be option C

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0

3 years ago

Read 2 more answers

On a recent quiz, the class mean was 72 with a standard deviation of 4.2. Calculate the z-score (to 2 decimal places) for a pers

barxatty [35]

Answer:

The Z score of the person is -3.09.

Step-by-step explanation:

The standard normal deviate (Z) for a normal distribution is given by

$Z=\frac{X-\bar{X}}{\sigma }$

where,

X = the value of observation

$\bar{X}$ is mean of the observations and

σ = standard deviation of the score

Applying values we get

$Z=\frac{59-72}{4.2}=-3.09$

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4 years ago

A bag of trail mix weighs 2 lb. By weight, 20% of the bag is oats. How many pounds is the oats portion of the trail mix? (a) Wri

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Answer: 0.4 pounds of the trail mix is oats.

To find the answer, you can set up a proportion. We can use the percent proportion below.

part/whole = percent/100

x/2 = 20/100

To solve this you cross multiply and divide.

100x = 40
x = 0.4

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4 years ago

What is the equation of the following line? Be sure to scroll down first to see

dybincka [34]

Answer:

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Step-by-step explanation:

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3 years ago

The number of violent crimes committed in a day possesses a distribution with a mean of 2.2 crimes per day and a standard deviat

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Answer:

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And replacing we got:

$\mu_{\bar X}= 2.2$

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Step-by-step explanation:

For this case we have the following info given:

$\mu = 2.2$ represent the mean

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We select a sample size of n=100. This sample is >30 so then we can use the central limit theorem. And we want to find the distribution for the sample mean and we know that the distribution is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And replacing we got:

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4 years ago