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oksano4ka [1.4K]
3 years ago
13

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 15 feet. Which measurement is closest to the len

gth of this rectangle in feet?
Mathematics
1 answer:
Sophie [7]3 years ago
8 0

Answer:

a=14.46ft

Step-by-step explanation:

1) a^2*b^2=c^2

2) a^2*4^2=15^2

3) a^2*16=225

4) a^2=209

5) a=\sqrt{209}

6) a=14.46ft

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Y=-3x+23

distribute -3, get y alone (add 2 to both sides)
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0.5 gallons plus 0.5 gallons plus 2 gallons plus 1gallon basicly i need to know how to add gallons.
gulaghasi [49]

Answer: 5 gallons

Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1

4 0
3 years ago
Read 2 more answers
The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation
netineya [11]

THIS IS THE COMPLETE QUESTION BELOW;

The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.

Find the margin of error for the confidence interval for the population mean with a 98% confidence level.

z0.10 z0.05 z0.025 z0.01 z0.005

1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answer

Margin error =210.8

Given:

standard deviation of 425

sample mean x=1520 dollars.

random sample n= 22

From the question We need to to calculate the margin of error for the confidence interval for the population mean .

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

4 0
3 years ago
Some Math i can’t helppp
mezya [45]

Annually The amount after 10 years = $ 7247.295

quarterly compound after 10 years = $7393.5

Continuously interest =$7,419

Given:

P = the principal amount

r = rate of interest

t = time in years

n = number of times the amount is compounding.

Principal =  $4500

time= 10 year

Rate = 5%

To find: The amount after 10 years.

The principal amount is, P = $4500

The rate of interest is, r = 5% =5/100 = 0.05.

The time in years is, t = 10.

Using the quarterly compound interest formula:

A = P (1 + r / 4)4 t

A= 4500(1+.05/4)40

A= 4500(4.05/4)40

A= 4500(1.643)

Answer: The amount after 10 years = $7393.5

Using the Annually  compound interest formula:

A = P (1 + r / 100) t

A= 4500(1+5/100)10

A= 4500(105/100)10

Answer: The amount after 10 years = $ 7247.295

Using the Continuously  compound interest formula:

e stands for Napier’s number, which is approximately 2.7183

A=Pex^{rt} \\A=4500(e)^{.5} \\A= 4500(2.71)^{.5}

A= $2,919

Answer: The amount after 10 years = $4500+$2,919=$7,419

More details :brainly.com/question/13307568

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7 0
1 year ago
Which statement describes the key difference between a traditional IRA and a Roth IRA?
scZoUnD [109]

"Traditional IRA contributions are made with pretax dollars, while Roth IRA contributions are made with after-tax dollars" statement describes the key difference between a traditional IRA and a Roth IRA.

<u>Option: D</u>

<u>Explanation:</u>

A traditional IRA that is an individual retirement account enables investors to channel pre-tax income into assets that can increase tax postponed. Donations to a traditional IRA might be tax deductible focusing on the earnings, tax filing record and other considerations of the taxpayers.

A Roth IRA is a tax-favored retirement savings account that enables you to tax-free withdraw your savings. These are sponsored with after-tax dollars; tax-deductible investments are not. But the cash is tax-free until one begin withdrawing funds.

6 0
3 years ago
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