Answer:
Volume is 
Solution:
As per the question:
Diameter, d = 40 m
Radius, r = 20 m
Now,
From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:
iff
h(y) = cy + d
Then
when y = 1 m
h(- 20) = 1 m
1 = c.(- 20) + d = - 20c + d (1)
when y = 9 m
h(20) = 9 m
9 = c.20 + d = 20c + d (2)
Adding eqn (1) and (2)
d = 5 m
Using d = 5 in eqn (2), we get:
Therefore,
Now, the Volume of the pool is given by:
where
A = 
Thus
![V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}](https://tex.z-dn.net/?f=V%20%3D%20%5B-%20533.33cos%5Ctheta%20%2B%201000%5Ctheta%5D_%7B0%7D%5E%7B2%5Cpi%7D)
Equating the formula (d is the diameter)
d^2/4 = 132.7
d^2 = 132.7*4/
d =
d = 13.0017147331
d= 13cm
Sometimes there is no apparent way to factor it by hand /(the factors are decimals or imaginary). To try and factor these problems is nearly impossible in your head.
Answer:
Step-by-step explanation:
Sum of angles in a triangle = 180
1. 180 = 78 + 37 + x
180 = 115 + x
Subtract 115 from both sides
180 - 115 = 115 + x - 115
180 - 115 = x
65 = x
x = 65°
2. 180 = 80 + 66 + x
180 = 146 + x
Subtract 146 from both sides
180 - 146 = 146 + x - 146
34 = x
x = 34°
Answer:
B.
Step-by-step explanation:
If the population, in this case, weights of golden retriever dogs, follows a normal distribution, then the sample will too, even if the sample size is lower than 30. You only have to worry about the sample size being too small when a problem doesn't explicitly say the distribution from which the samples are drawn is normally distributed.
