4^3+7(7) in my opinion or 4^3+7*7
Answer:
x = 14 y = -3x + 3
Step-by-step explanation:
Answer:
x=5/2,3/2
so 5/2 is the maximum height. (2.5)
Step-by-step explanation:
Answer:
Explanation:
4x + 2x = 180 degree
6x = 180
x = 180/6
x = 30
Therefore, x = 30 degree
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...
