Answer:
Area of Pool cover: 110.25π
Length of rope: 21π
Step-by-step explanation:
To find the area of a circle the formula is πr^2.
1. take 10.5, which is half of the diameter and multiply it by itself then multiply by pi(π). Answer is 110.25π
To find the length of the rope(circumference) the formula is 2πr.
1. Take r, which we established as 10.5 then multiply it by 2, which is 21. Then multiply by π. Answer is 21π
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If ur teacher wants you to use 3.14 as pi then these are your answers:
Area of Pool cover: 346.185, round up to 346.19 if needed
Length of rope: 65.94
Answer:
no
Step-by-step explanation:
Transmission must be in third gear as both are running at the same speed ! so third gear !!!
Answer:
500
Step-by-step explanation:
It's a box with a square base, so let's say the width and length are x and the height is y.
The surface area of the box without the top is:
A = x² + 4xy
300 = x² + 4xy
The volume of the box is:
V = x²y
Solve for y in the first equation and substitute into the second:
y = (300 − x²) / 4x
V = x² (300 − x²) / 4x
V = x (300 − x²) / 4
V = 75x − ¼ x³
To optimize V, find dV/dx and set to 0:
dV/dx = 75 − ¾ x²
0 = 75 − ¾ x²
x = 10
So the volume of the box is:
V = 75x − ¼ x³
V = 500
The maximum volume is 500 cm³.
