Answer:
$8
Step-by-step explanation:
5 increase 60% =
5 × (1 + 60%) = 5 × (1 + 0.6) = 8
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:
4(R + 5 + R + 2) [Option B]
Step-by-step explanation:
<u>GIVEN :-</u>
- Length = R + 5
- Width = R + 2
<u>TO FIND :-</u>
- Perimeter of the rectangle
<u>FORMULAE TO BE USED :-</u>
For a rectangle with length 'l' and width 'w' , its perimeter = 4(l + w)
<u>SOLUTION :-</u>
Perimeter = 
= 
= 
There are 24 half miles in 12 miles.