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3 years ago

What is the volume of the sphere, rounded to the nearest cubic foot?

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Given:

Radius = 5 ft

To find:

The volume of the sphere

Solution:

Volume of the sphere:

$$V=\frac{4}{3}\pi r^3$

$$V=\frac{4}{3}\times 3.142 \times 5^3$

$$V=523.66$

$$V=524$

The volume of the sphere is 524 ft³.

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HEY LOL PLEASE ANSWER THESE. PLEASE IM BEGGING YOU. HELP ME

Alexandra [31]

Answer:

a. ∆ABC ~ ∆A'B'C'

b. Enlargement

c. Scale factor = 4

Step-by-step explanation:

a. <A corresponds to <A'

<B corresponds to <B'

<C corresponds to <C',

Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'

b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.

c. Scale factor = the ratio of the corresponding sides

Thus:

Scale factor = A'B'/AB = B'C'/BC = A'C'/AC

Scale factor = 24/6 = 48/12 = 60/15 = 4

Scale factor = 4

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3 years ago

Sam invests $6000 in two different accounts. The first account paid 12 %, the second account paid 7 % in interest. At the end of

Lunna [17]

Answer:

The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

Step-by-step explanation:

Let x be the amount in the account at 12% interest

So, 6000-x is the amount in the second account at 7% interest

$SI = \frac{P \times T \times R}{100}$

First account: $SI=\frac{x \times 1 \times 12}{100}$

Second account : $SI =\frac{(6000-x) \times 1 \times 7}{100}$

We are given that At the end of the first year he had earned $590 in interest.

So, $\frac{x \times 1 \times 12}{100}+\frac{(6000-x) \times 1 \times 7}{100}=590\\x=3400$

So,the amount in the account at 12% interest is $3400

The amount in the second account at 7% interest =6000-x=6000-3400=2600

Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600

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3 years ago

Kalani had 3/5 pan of brownies. She sent 1/3 of

frozen [14]

I think its.......5/15=1/3

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3 years ago

tresset_1 [31]

Step-by-step explanation:

x and y are roughly in a linear relationship.

when x increases by 2 units, then also y increases by more or less 2 units.

when x increases by 3 units, then also y increases by more or less 3 units.

it is not precise, but a good approximation model.

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2 years ago

If a triangle has sides of length 6 cm and 8 cm, what are the largest and smallest possible lengths for the third side?

mixer [17]

Answer:

Step-by-step explanation:

Not sure

5 0

3 years ago