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Ilya [14]
3 years ago
12

What is the radius of a sphere with a volume of 384\text{ ft}^3,384 ft

Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

r≈4.5 ft

Step-by-step explanation:

r≈4.5 ft

\text{Volume of a Sphere:}

Volume of a Sphere:

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

V=

3

4

​

πr

3

384=

384=

\,\,\left(\frac{4}{3}\pi\right) r^3

(

3

4

​

π)r

3

384=

384=

\,\,(4.1887902)r^3

(4.1887902)r

3

Evaluate 4/3pi in calc

\frac{384}{4.1887902}=

4.1887902

384

​

=

\,\,\frac{(4.1887902)r^3}{4.1887902}

4.1887902

(4.1887902)r

3

​

Evaluate \frac{4}{3}\pi

3

4

​

π in calc

91.6732472=

91.6732472=

\,\,r^3

r

3

\sqrt[3]{91.6732472}=

3

 

91.6732472

​

=

\,\,\sqrt[3]{r^3}

3

 

r

3

​

Cube root both sides

4.5090066=

4.5090066=

\,\,r

r

\text{Final Answer:}

Final Answer:

r\approx 4.5\text{ ft}

r≈4.5 ft

Round to nearest tenth

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mrs_skeptik [129]
12.
Add like terms from both trinomials:

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2x + -5x = -3x
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Combine these terms to get a new trinomial as your answer:

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13. 
Subtract like terms from both trinomials (note that subtracting a negative is the same as adding it as a positive):

3x^{2} - 5x^{2} = -2x^{2}
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0 can be left out of the answer.

Combine these terms to get a binomial as your answer:

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Answer:

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Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

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The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

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32000 ounces =  x pounds

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Answer:

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Step-by-step explanation:

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