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bulgar [2K]
3 years ago
13

The west room of the White House has a perimeter of 180 feet. If the width is 50 feet, what is the length of the West room?

Mathematics
1 answer:
NeTakaya3 years ago
4 0

Answer:

l = 40

Step-by-step explanation:

Since Perimeter comes from P = 2l + 2w so 180 = 2l + 2(50)

180 = 2l + 100

180-100 = 2l

80 = 2l

so l = 40

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The radius of a sphere is multiplied by . What effect does this have on the volume of the sphere? A. The volume of the sphere is
Greeley [361]

Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.

3 0
2 years ago
Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.
user100 [1]

Answer:

No, she cannot completely cover the footrest.

Step-by-step explanation:

First of all, we need to find the total surface area of the prism to be covered using the cotton cloth

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h is the height of the prism = 10 in

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We need to convert the area of the fabric to be in the same unit as that of the prism

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since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest

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