Answer:
4 units
Step-by-step explanation:
The volume of a square pyramid is (a²)*h/3
256=a²*12/3
256=a²*4
256/4=a²
64=a²
a=8
Now we know that the square is 8 by 8.
The volume of a square prism is a²h
256=64h
256/64=h
h=4
Also, a square pyramid is 1/3 the volume of a square prism.
12÷3=4
Answer:
x ≥ -3
x ≤ 3
Step-by-step explanation:
For the first inequality, just add 3 to both sides.
For the second inequality, add 4 to both sides then divide both sides by 3.
The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7
<h3>How to determine the ratio?</h3>
The given ratios are:
Dawn : Mandy = 6 : 7
Mandy : Belle = 2 : 3
Multiply the second ratio by 3.5.
So, we have:
Mandy : Belle = 2 * 3.5 : 3 * 3.5
Evaluate
Mandy : Belle = 7 : 10.5
So, we have:
Dawn : Mandy = 6 : 7
Mandy : Belle = 7 : 10.5
Mandy's ratios in both equation are the same.
So, we have:
Dawn : Mandy : Belle = 6 : 7 : 10.5
Remove Mandy's ratio
Dawn : Belle = 6 : 10.5
Simplify
Dawn : Belle = 4 : 7
Hence, the ratio of Dawn to Belle's savings is 4 : 7
Read more about ratios at:
brainly.com/question/2328454
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Answer:
There is no distance between them
Step-by-step explanation:
For a 30 ft electric line to be placed between two 20ft electric poles, it would take 15 ft of the electric line to go down to about 5 ft above the ground and another 15 ft of the line to go to the top of the second electric pole. This means that a total of 30ft (15 ft + 15 ft) electric line would be needed which is all the cable we have.
For this to be possible then the poles must be adjacent to each other (i.e. no distance between them).
Answer:
7(1/2)
Step-by-step explanation:
