Let x = one of the side lengths of the base.
Then area of the base = x². So volume of the base = x²h.
That gives us x²h = 20. Solving for x, we get x = √(20/h²).
Glass is needed to cover the sides of the aquarium. There are 4 sides and 1 base. Area of a side = hx = h√(20/h²). Area of the base = x² = 20/h. Total area of glass = h√(20/h²) + 20/h. So the cost for glass = 8 * [h√(20/h²) + 20/h] = 8 h√(20/h²) + 160/h.
Metal frame is needed along the edges of the sides. There are 4 edges on the top, 4 edges in the bottom and 4 vertical edges. So the total length of metal frame = 4x + 4x + 4h = 8 √(20/h²) + 4h. Then the cost for metal frame = 7 * [8 √(20/h²) + 4h] = 56 √(20/h²) + 28h.
So the total cost = 8 h√(20/h²) + 160/h + 56 √(20/h²) + 28h
16x - 3x = x is the Given,
16 = 4x is the Addition Property of Equality,
and
4 = x is the Division Property of Equality!
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Answer:
8
Step-by-step explanation:
It depends what mathematics you know
Perhaps the most basic way would be by approximation. You could start with, say, 5. 5*5*5= 125. Then 5 is to small to be the cube root of 512.
Try 10: 10*10*10=1000: Too bi. But now we know that the number we want is between 5 and 10.
Try 8: 8*8*8=512.
Answer:
0
Step-by-step explanation:
-4-(-4)
see how there is a minus sign and a negative
this is known as a double negative
double negative's always = a plus sign
therefore the problem is really read as
-4+4
which equals 0
