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Elina [12.6K]
2 years ago
8

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet a

nd a height of 13 feet. Container B has a diameter of 24 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of the empty portion of Container B, to the nearest tenth of a cubic foot?

Mathematics
1 answer:
Setler [38]2 years ago
4 0

Answer:

3183.96 ft^3

Step-by-step explanation:

let pi = 3.14

volume of a cylinder is base * height

find the base: (area of circle)

height is given

container A:

circle area = 530.66

multiply 530.66 by the height (13)

530.66 * 13 = 6898.58

container B:

circle area = 530.66

multiple 530.66 by the height (19)

530.66 * 19 = 10082.54

Find empty space:

10082.54-6898.58 = 3183.96

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Between which two integers does √11 lie? and √8 lie? Step by step explanation please​
sukhopar [10]

Answer:

2 and 4

Step-by-step explanation:

Consider a perfect square smaller than 8 and a perfect square larger than 11

That is 4 and 16, then

\sqrt{4} < \sqrt{8} and \sqrt{11} < \sqrt{16} , that is

2 and 4

6 0
3 years ago
Can someone figure out the problem in this image?
erma4kov [3.2K]
Right side:
(1/27)^(2x+10)
=(3^-3)^(2x+10)
= 3^(-6x - 30)

Re-write both sides:
3^(4x-5) = 3^(-6x - 30)

from here, you can solve x 

4x - 5 = -6x - 30
4x + 6x = -30 + 5
10x = -25
    x = -2.5
7 0
4 years ago
Find the area to the right of the z-score 1.39 and to the left of the z-score 1.53 under the standard normal curve.1.2 1.3 1.4 0
svetoff [14.1K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value is  P( 1.39 <  z <  1.53 ) = 0.0193

Step-by-step explanation:

From the question we are told to obtain the area to the of the z-score 1.39 and to the left of the z-score 1.53, this is mathematically represented as

        P( 1.39 <  z <  1.53 ) =  P( z <  1.53 ) - P( z <  1.39 )

From the z table on the question the area under the normal curve to the left corresponding to 1.53 and  1.39  is

       P( z <  1.53 )  = 0.9370

and

      P( z <  1.39 )  = 0.9177

So

     P( 1.39 <  z <  1.53 ) = 0.9370 - 0.9177

=>  P( 1.39 <  z <  1.53 ) = 0.0193

6 0
3 years ago
Help me pleaseeeeeeeeeeeeeeee
GrogVix [38]

We can eliminate 0.6, since that would result in a smaller shape, not a larger.

If the scale factor was 2, then each coordinate for every point on the original shape would be multiplied by 2.

For example, (3,3) would become (6,6), but it didn't.  So that rules out the scale factor of 2.

If the scale factor was 1.5, then each coordinate for every point on the original shape would be multiplied by 1.5.

For example, (3,3) would become (4.5,4,5), and that checks out.  

Then (4,4) would become (6,6), and that also checks.

And (5,3) would become (7.5, 4.5), and that looks right.

Finally, (2,5) would become (3, 7.5) and that also look good.

I'd say the scale factor is 1.5.

5 0
3 years ago
If p(a)=0.24 and p(b)=0.52 and a and b are independent, what is p(a or b)?
Crank
Download the app photo math and there is the answer
3 0
3 years ago
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