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katrin2010 [14]
3 years ago
13

you buy two rolls of wrapping paper. each roll has the same lateral surface area. what is the diameter of roll B?

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0
I saw the image that should have been posted with this word problem.

The rolls of wrapping paper is cylindrical in shape.

Roll A : length = 30 inches ; diameter = 3 inches
Roll B : length = 24 inches ; diameter = unknown

Lateral surface area = 2 π r h

Lateral Surface area of Roll A = Lateral Surface area of Roll B
2 * 3.14 * 1.5in * 30in = 2 * 3.14 * r * 24 in
282.60 in² = 150.72 in * r
282.60 in² / 150.72 in = r
1.875 in = r

diameter is 2 times the radius = 1.875 in * 2 = 3.75 inches

The diameter of Roll B is 3.75 inches.
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PLEASE HELP QUICK, I need to know the answer.
Marysya12 [62]

The equivalent expression is 7^{2}.

We have the following expression -

\frac{7^{-3} }{7^{-5} }

We have to find its equivalent value.

<h3>What is the equivalent expression of the following expression-</h3>

f(x, y) =\frac{A^{x} }{A^{y} }

In order to divide two exponents with same base, we use the 'Quotient property of exponents.

The equivalent expression can be written as -

f(x, y) = A^{x} A^{-y} = A^{x-y}

In the question given we have -

\frac{7^{-3} }{7^{-5} }

Using the property discussed above -

7^{-3}\;7^{5} = 7^{-3+5} = 7^{2}

Hence, the equivalent expression is 7^{2}.

To solve more questions on exponents, visit the link below -

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2 years ago
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bonufazy [111]
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3 years ago
Emma borrowed $312 from her sister. She determines that she can pay her back in thirteen months worth of allowance. What effect
gulaghasi [49]

Answer:

This repayment will ultimately reduce her monthly bank account balance

Step-by-step explanation:

This repayment will ultimately reduce her monthly bank account balance. That is because the steady monthly income that Emma would normally receive to her bank account will be taken out of her account and sent to her sister's account. This will continue to occur for 13 months until Emma pays back the $312 that she borrowed from her sister. Once the 13 months are over and her debt is paid, her monthly bank balance will return to normal and begin increasing as her income payments get deposited.

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3 years ago
I need to get this done
Allushta [10]

Answer:

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Step-by-step explanation:

Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.

Therefore, you can set them equal to each other and solve for x.

8x - 31 = 6x + 3

Combine like terms

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Divide both sides by two

x = 17

Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.

(5y + 35) + (6(17) + 3) = 180

Add like terms

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