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Katena32 [7]
2 years ago
7

The volume of a sphere is 2,240 yd^3. What will be the new volume in the dimensions are multiplied by 1/4?

Mathematics
1 answer:
Artyom0805 [142]2 years ago
4 0

Answer:

34.98yd^3

Step-by-step explanation:

Volume of a sphere V=4/3πr3

Where V = 2240yd^3

π = 3.14

2240 = 4/3×3.14×r^3

2240 = 4.1866r^3

r^3 = 2240/4.1866

r^3 = 534.784

r = ( 534.784 )^1/3

r = 8.1169

Since each dimension is to be multiplied by 1/4

Hence, 1/4×8.1169

r = 2.029.

New volume will be

V = 4/3×3.14×2.029^3

V = 4/3×3.14×8.3558

V = 34.98yd^3.

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3 years ago
Segment XY bisects angle WXZ and angle mZXY = 37 degrees. Find angle mWXY and angle mZXW
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we know that

The angle bisector, is the line or line segment that divides the angle into two equal parts.

So

in this problem

m∠ZXW=m∠WXY+m∠ZXY

m∠WXY=m∠ZXY

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m∠ZXY=37°-----> given value

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m∠WXY=m∠ZXY=37°

therefore

<u>the answer part a)</u>

The measure of angle WXY is equal to 37°

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2 years ago
Find x if AB = 9, BC = 2x - 5,<br> and AC = x + 9
Oxana [17]

Answer:

x = 5

Step-by-step explanation:

Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:

AB + BC = AC

Now, using the given values, we can substitute in for the equation and solve for x:

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x = 5

Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.

Cheers.

5 0
3 years ago
Read 2 more answers
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