The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
Answer:
1
Step-by-step explanation:
5% × 20 =
(5 ÷ 100) × 20 =
(5 × 20) ÷ 100 =
100 ÷ 100 =
1
Answer:
6.27
Step-by-step explanation:
We are to obtain the standard deviation of the given values :
{24, 18, 31,25, 34}
The standard deviation = √(Σ(x - mean)²/ n)
The mean = (ΣX) /n
Using calculator to save computation time :
The standard deviation, s = 6.27 (2 decimal places)
Step-by-step explanation:
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The formula for the volume of a cube whose sides are s inches longs is volume = s^3 cu. in which is A on the choice you provided. We all know that 3 is for cube and the s^3 in the formula saying that s^3 is s cube, we will just include the inches and the cube o the formula which will be the choice A.
