Answer:
y=(3/5)x+1
Step-by-step explanation:
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:
12 shoes
Step-by-step explanation:
Because 6 times 2 is 12 and 4 times 3 is 12. And that is the lowest common number that they share.
Answer:
i believe the answer is 6cm
Step-by-step explanation:
First solve for theta in 'x' equation:
Substitute into 'y' equation:
Simplify by rewriting cos in terms of sine.
Using pythagorean identity:
Simplify using inverse function property:
