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Anastaziya [24]
2 years ago
14

A movie theater uses a cone-shaped container to serve popcorn. The cone has a height of 12 inches and a volume of 16 π in2. What

is the radius of the cone?
Mathematics
1 answer:
zimovet [89]2 years ago
6 0

Volume can be defined as the <u><em>capacity of a given container or a certain object.</em></u>

The radius of the cone is 2 inches.

From the question, we are given the following parameters:

<em>The height of the cone = 12 inches</em>

<em>The volume of the cone =  16 π in³</em>

The formula to find the<u> radius of the cone </u>is given as:

√3V/πh

= √ 3 x 16π / π x 12

= 2 inches

Therefore, the radius of the cone is 2 inches.

To learn more, visit the link below:

brainly.com/question/25107622

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-5(-3x+10)=30 what is x
Feliz [49]

Answer:

5.33333333...

Step-by-step explanation:

it will be like -5 out the bracket x - 3 x which gives you 15 then we'll check again - 5 then you times it by there 10 in the bracket and then it gives you 50 and then it will be there in 15 x - 50 equals to 30 then you take the -50 to the other side where there is 30

then it will be 15 x equals to 30 + 50 and then then 15 x equals to 8 and then you divide both of the sides with 15 then get your answer

-5 (-3x+10)=30

15x-50=30

15x=30+50

15x/15=80/15

x=5.33333...

3 0
3 years ago
HI PLS HURRY !!
VARVARA [1.3K]

Step-by-step explanation:

234751

100% sure

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5 0
3 years ago
Can someone help me find the value of x for the figures given ? Thanks!
stealth61 [152]
I hope this helps you

4 0
3 years ago
Which of the following is the result of the equation below after completing the square and factoring?
Tems11 [23]

Answer:

D)  (x +  \frac{5}{2})^{2}   =  \frac{9}{4}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation

             <em>   x² + 5 x + 8 = 4</em>

    ⇒        x^{2} + 2 X \frac{5}{2} x + (\frac{5}{2} )^{2} -  (\frac{5}{2} )^{2}+ 8 = 4

<u><em>Step(ii):</em></u>-

    By using (a + b)² = a² + 2 a b + b²

  ⇒        (x +  \frac{5}{2})^{2}   -  (\frac{5}{2} )^{2}+ 8 = 4

  ⇒        (x +  \frac{5}{2})^{2}   = 4 + (\frac{5}{2} )^{2} -8

⇒           (x +  \frac{5}{2})^{2}   =  (\frac{25}{4} ) -4

⇒           (x +  \frac{5}{2})^{2}   =  (\frac{25-16}{4} )

⇒           (x +  \frac{5}{2})^{2}   =  \frac{9}{4}

<u><em>Final answer:-</em></u>

(x +  \frac{5}{2})^{2}   =  \frac{9}{4}

 

7 0
3 years ago
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
Masja [62]

Answer:

The remainder is...

7

Hope this helps!!

Step-by-step explanation:

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