Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b 2 = ( a + b ) ( a − b ) where a = 7 and b = a + x . − ( 7 + a + x ) ( a + x − 7 )
No, that would not be a square pyramid. A square pyramid has a square base.
Answer: 0.0028
Step-by-step explanation:
60 minutes in 1 degree, so 1/60 = 0.01666666667
there are 60 seconds in 1 minute and 1 minute is 0.01666666667 of a degree
so 0.01666666667 divided by 60 x 10 or 0.01666666667 divided by 6 is .0028
Answer:
a) h = 123/x^2
b) S = x^2 +492/x
c) x ≈ 6.27
d) S'' = 6; area is a minimum (Y)
e) Amin ≈ 117.78 m²
Step-by-step explanation:
a) The volume is given by ...
V = Bh
where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:
123 = x^2·h
h = 123/x^2
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b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.
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c) The derivative of the area with respect to x is ...
When this is zero, area is at an extreme.
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d) The second derivative is ...
This is positive, so the value of x found represents a minimum of the area function.
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e) The minimum area is ...
The minimum area of metal used is about 117.78 m².
5x 1/100 meter = 5 * 0,01 meter = 0,05 meter
Answer: There is 0,05 meter of snow on the ground.