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WARRIOR [948]
3 years ago
9

A seamstress makes 2 cushions for a couch, a smaller cushion and a larger cushion. The cushions are similar rectangular prisms.

The seamstress determines the surface area of each cushion and the volume of the smaller cushion. She wants to calculate the volume of the larger cushion in order to figure out how much stuffing she must buy.
The surface area of the smaller cushion is 972 in2 and its volume is 1604 in3. What is the volume, V, to the nearest cubic inch, of the larger cushion if it has a surface area of 2028 in2?
Mathematics
1 answer:
Allisa [31]3 years ago
5 0
Do you need help or you just wanted the answer?
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What is the value of 9 + 21 (13 + 5)?
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387

Step-by-step explanation:

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Twin​ brothers, person A and person​ B, can mow their​ grandparent's lawn together in 40 minutes. Person A could mow the lawn by
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A cylinder shaped container has a radius of 30 cm and a height of 100 cm. A glass sphere with a redius of 12 cm is placed inside
Artemon [7]
Vcylinder-Vsphere=water


Vcylinder=hpir^2
Vsphere=(4/3)pir^3


given

cylinderradius=30 and h=100
Vcylinder=100pi30^2=100pi900=90000pi
let's leave it in terms of pi for more exactness

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last option is corrrect
4 0
3 years ago
Simplify the expression. 7 √x • 7 √x • 7 √x
blsea [12.9K]
Answer:

√7x−49√x

Explanation:

First of all, expand by multiplying √7x⋅√x and √7x⋅7√7respectively:

√7x(√x−7√7)=√7x⋅√x−√7x⋅7√7

... you can express √7x as √7⋅√x...

=√7⋅√x⋅√x−√7⋅√x⋅7⋅√7

=√7⋅(√x)2−(√7)2⋅√x⋅7

... the operations squaring and taking the square root "eliminate each other"...

=√7⋅x−7⋅√x⋅7

=√7x−49√x

Hope that this helped!

8 0
3 years ago
Ahmad run 5 kilometres. If he completed 15% of the race. How many kilometres is the race?
stepladder [879]

Answer:

x = 33.33 kilometers

Step-by-step explanation:

you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.

\frac{percent}{base} =\frac{rate}{100}

\frac{5}{x}=\frac{15}{100} ; cross multiply.

15x = 500

x = 33.33 kilometers

therefore, the race is 33.33 kilometers.

4 0
3 years ago
Read 2 more answers
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