Answer:
Because it is a rectangle, the top and the bottom are different lengths than the sides. So therefore 6 chairs cannot fit on every sides.
Step-by-step explanation:
Step-by-step explanation:
13 pounds of sugar for $6.
for a single pound of sugar we need to divide everything by 13 to keep the same ratio (relationship).
1 pound cost then 6/13 = 0.461538462... ≈ $0.46
The percentage of male students is 37.5%
- There for every five girls there are three boys.
- That is eight students per.
- I took two hundred and divided it by eight to get twenty-five.
- I got twenty five, if you take twenty-five times three you get seventy-five & if you take twenty-five times five you get one hundred twenty-five.
- Add those two products and you'll have your two hundred.
- So, take seventy-five over two hundred to get thirty-seven and a half.
- Divide that by one hundred to get the ratio.
- It comes out to 37.5%
Answer:
exact=603.19 estimate=603
Step-by-step explanation:
Step-by-step explanation:
A cross-section is a washer with an inner radius of 8sin(x) - (-1) and an outer radius of 8cos(x) - -(1), so its area would be:
A(x) = π[(8cos(x) + 1)^2 − (8sin(x) + 1)^2]
= π[64cos^2(x) + 16cos(x) + 1 - 64sin^2(x) − 16sin(x) − 1]
= π[64cos(2x) + 16cos(x) - 16sin(x)]
=> V(x) = ∫[0,π/4] π[64cos(2x) + 16cos(x) - 16sin(x)] dx
= π[32sin(2x) + 16sin(x) + 16cos(x)] |[0,π/4]
= π[32sin(π/2) + 16√2/2 + 16√2/2 - 16]
= π(32 - 16 + 16√2) = π(16 + 16√2)
The volume of the region is π(16 + 16√2).