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:
is 1
Step-by-step explanation:
sorry if im wrong this is my first time doing this
Answer: 3.2 tons
Step-by-step explanation:
We know that 1 ton = 2000 pound
Then , 
Given : Mustafa’s horse ate 6,400 pounds of hay last year.
Then, the number of tons of hay his horse ate last year is given by :-

Therefore, the number of tons of hay his horse ate last year = 3.2 tons
I think this is the 3 one... can i have brainliest?
since it is perpendicular line you have to change thing signs of the equation.
x y
(-1,4)
replace the (-1) with x and (4) with y
y=1/2x+b
4=1/2(-1)+b
4=-1/2+b
4+1/2=b
9/2=b
therefore, the perpendicular line is y=1/2x+9/2