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crimeas [40]
3 years ago
15

When the radius of a sphere is doubled, what is the resulting change in volume? A) The original volume is doubled. B) The origin

al volume is multiplied by 4. C) The original volume is multiplied by 8. D) The original volume is multiplied by 10.
Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

Answer:

C

Step-by-step explanation:

The volume (V) of a sphere is calculated using the formula

V = \frac{4}{3}πr³

If the radius is doubled, that is r = 2r , then

V = \frac{4}{3}π (2r )³

(2r)³ = 8r³, thus the volume is multiplied by 8

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The table gives the average age of airplanes per airline at Camila’s local airport. By what percent is the number of airlines wi
VladimirAG [237]

The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:

B. 20%.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = \frac{a}{b} \times 100\%

The percentage of airlines with an average age of 14 years is:

P = \frac{2}{15} \times 100\% = 13.33\%

The percentage of airlines with an average age of 11 years is:

P = \frac{5}{15} \times 100\% = 33.33\%

The difference is:

33.33% - 13.33% = 20%.

Hence option B is correct.

More can be learned about percentages at brainly.com/question/10491646

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6 0
2 years ago
1. For each event, write the sample space and tell how many outcomes there are.
kozerog [31]

Answer:

A. 14

Step-by-step explanation:

6 0
2 years ago
Meredith invested $5,500 into an account that earned 5% interest per year. When she cashed out the investment to use it as a dow
Andrej [43]

Answer:  B. 7739.05=5500(1.05)^t

Step-by-step explanation:

The formula to find the compound amount (compounded yearly):-

A=P(1+r)^t, where P is the principal amount invested,  is the rate of interest and t is time period.

As per given , we have

P=$5500    ,  r=5% = 0.05   and A =  $7,739.05.

Substitute all the values in the formula , we get

7739.05=5500(1+0.05)^t

7739.05=5500(1.05)^t

Hence, the equation describes Meredith's investment based on t, the number of years she kept the account open : 7739.05=5500(1.05)^t

5 0
2 years ago
Select the correct answer from each drop-down menu. Right triangle ABC is represented with the right angle at vertex B. Base BC
Svetradugi [14.3K]

By using trigonometric relations, we will see that:

AC = 15.6 in

AB = 8.4 in.

<h3>How to get the measures of the other two sides of the right triangle?</h3>

Here we have the right triangle where:

B = 90°

C = 40°

BC = 10 in.

Notice that is the adjacent cathetus to the angle C, then we can use the two relations:

  • sin(a) = (adjacent cathetus)/(hypotenuse).
  • tan(a) = (opposite cathetus)/(adjacent cathetus).

Where:

  • hypotenuse = AC
  • opposite cathetus = AB.

Then we will have:

sin(40°) = 10in/AC.

AC = 10in/sin(40°) = 15.6 in

tan(40°) = AB/10in

tan(40°)*10in = AB = 8.4 in.

So we can conclude that for the given right triangle we have:

AC = 15.6 in

AB = 8.4 in.

If you want to learn more about right triangles:

brainly.com/question/2217700

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6 0
1 year ago
I need a job please help lol
NeX [460]

Answer:

just say something inspiring and formal

3 0
3 years ago
Read 2 more answers
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