Answer: 0.364
The reason that it would be 0.364 is because the thousandths place is the third decimal place, which would leave you with a 3 but since there is a 6 after the 3, the 3 would be rounded up to a 4.
Answer:
B) 43.82 feet/sec
Step-by-step explanation:
Fill in the number and evaluate:
v = √(64×30) = √1920 ≈ 43.82 . . . . ft/s
_____
Of course, √(64h) can be simplified to 8√h. You know that √30 lies between 5 and 6, so the velocity lies between 8·5 = 40 and 8·6 = 48. There is only one answer choice in that range.
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.
For this case, the first thing to do is to model the rectangular sandbox as a rectangular prism.
The volume of the prism is given by:

Where,
- <em>w: width
</em>
- <em>l: length
</em>
- <em>h: height
</em>
Therefore, replacing values we have:

We observed that:

Therefore, the sandbox is not completely filled.
Answer:
the sandbox will hold
of sand
Jodi purchase is not enough sand to fill the sandbox to the top.
