Answer:
13. 108 inches
14. not similar (sides have different ratios)
15. 68
Step-by-step explanation:
13. You have two relationships between length and width:
2L + 2W = 336 . . . . . the perimeter is 336 inches
L/W = 9/5 . . . . . . . . . .the ratio of length to width is 9/5
Multiplying the second equation by 5/9W, we get
5/9L = W
Now we can substitute that into the first equation to get ...
2L +2(5/9L) = 336
Multiplying by 9 gives us ...
18L +10L = 3024
And dividing by 28 gives ...
3024/28 = L = 108 . . . . inches
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14. Shortest to longest, the ratios of sides are 6 : 8 : 9 and 2 : 4 : 5. There is no value that will multiply the first ratio to give the second ratio. For example, multiplying by 1/3 gives ...
2 : 2 2/3 : 3 . . . . <u>not</u> 2 : 4 : 5
Similar triangles have the same side ratios. These do not, so they are not similar triangles.
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15. MP is a midsegment of triangle JKL and parallel to base JL. A midsegment is half the length of the parallel base. Then JL is twice as long as MP. JL is 68 units long.
Answer:
The volume is 2140.98 inches³
Step-by-step explanation
The basketballs are spherical, and it is known that the volume of a sphere is
Where V is the volume of the ball and r is its radius
They tell us that the ball measures 8.8 inches wide. This means that its diameter is 8.8 inches.
It is known that the radius of a sphere is equal to half its diameter.
Therefore, the radius r of the ball is:
r = 4.4 inches.
Then, they tell us to consider that the walls of the ball are infinitely thin, which means that we should not take into account their thickness in the calculation of the volume.
We already have all the data we need, now we proceed to calculate the volume.
Where V is the volume of only one of the balls
The volume of the six balls is V = 6 * 356.83 = 2140.98 inches³
Finally the volume is 2140.98 inches³
