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Stells [14]
3 years ago
13

(Sphere has a volume of 40 cubic meters and is reduced by a scale factor

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer: 10\ m^3

Step-by-step explanation:

Given

The volume of Sphere is 40\ m^3

It is reduced by a scale factor of one-fourth i.e. Volume is reduced to one-fourth of the original volume

The new volume is given by

\Rightarrow V_{new}=\dfrac{V}{4}=\dfrac{40}{4}\\\\\Rightarrow V_{new}=10\ m^3

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Maria ran 100 yards in 13.8 seconds.mike ran 1 second slower then Maria. How long did it take mike to run 100 yards?
Allisa [31]

Answer:

12.8 seconds

Step-by-step explanation:

13.8-1=12.8.... unless I'm wrong?

5 0
3 years ago
7. Which dimensions result in the minimum perimeter for a rectangle with area 42.0 cm2?
natali 33 [55]

9514 1404 393

Answer:

  7. d. l = 6.48 cm, w = 6.48 cm

  8. d. square

Step-by-step explanation:

For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.

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7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.

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8. In light of the above, the shape is a square.

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The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.

8 0
3 years ago
Simplify. Consider all cases.<br> |14−(x−6)|<br> |14−(6-x)|
S_A_V [24]

Answer:

8+x if x > -8

8 if x = 0

-8-x if x < -8

Step-by-step explanation:

|14−(6-x)|

|14−6+x|

|8+x|

8+x if x > -8

8 if x = 0

-8-x if x < -8

8 0
3 years ago
Find the value of each variable in the parallelogram
Anarel [89]

Answer:

x = 9

y = 15

Step-by-step explanation:

x = 9

y = 15

I'm not sure how to explain this, but one side is equal to its opposite side in a parallelogram.

Hope this helps :)

5 0
2 years ago
An item costs $370 before tax, and the sales tax is $14.80.
lisabon 2012 [21]

Answer:

4%

Step-by-step explanation:

370.00x4%=$14.80

3 0
2 years ago
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