Answer:
the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in
-3 because it shows the value right there
The statement gives you the function that models the Area as a function of angle theta, and is telling the value of this angle.
Then, you only need to replace the value of the angle in the function, to obtain the requested area.
<span>A(Θ) = 16 sin Θ • (cos Θ + 1).
Θ = 60°
A(</span>60°<span>) = 16 sin(</span><span>60°) * [cos(</span><span>60°) + 1 ] = 16 * (√3) / 2 * [1/2 + 1] = 8(√3) * 3/2 = 12√3 ≈ 20.79
Answer: 20.8 in^2 </span>
ANSWER
The correct answer is D.
![\sum_{n=1} ^{6} (n - 3) = ( - 2) + ( - 1) + (0) + (1) + (2) + (3) = 3](https://tex.z-dn.net/?f=%20%5Csum_%7Bn%3D1%7D%20%5E%7B6%7D%20%28n%20-%203%29%20%3D%20%28%20-%202%29%20%2B%20%28%20-%201%29%20%2B%20%280%29%20%2B%20%281%29%20%2B%20%282%29%20%2B%20%283%29%20%3D%203)
EXPLANATION
The given expression is
![\sum_{n=1} ^{6} (n - 3)](https://tex.z-dn.net/?f=%20%5Csum_%7Bn%3D1%7D%20%5E%7B6%7D%20%28n%20-%203%29)
The symbol means summation.
So we need to substitute
![n=1,n=2,n=3,n=4,n=5, \:and\:n=6](https://tex.z-dn.net/?f=n%3D1%2Cn%3D2%2Cn%3D3%2Cn%3D4%2Cn%3D5%2C%20%5C%3Aand%5C%3An%3D6)
into the formula and add all to get,
![\sum_{n=1} ^{6} (n - 3) = (1 - 3) + (2 - 3) + (3- 3) + (4 - 3) + (5 - 3) + (6 - 3)](https://tex.z-dn.net/?f=%20%5Csum_%7Bn%3D1%7D%20%5E%7B6%7D%20%28n%20-%203%29%20%3D%20%281%20-%203%29%20%2B%20%282%20-%203%29%20%2B%20%283-%203%29%20%2B%20%284%20-%203%29%20%2B%20%285%20-%203%29%20%2B%20%286%20-%203%29)
We simplify to obtain,
![\sum_{n=1} ^{6} (n - 3) = ( - 2) + ( - 1) + (0) + (1) + (2) + (3) = 3](https://tex.z-dn.net/?f=%20%5Csum_%7Bn%3D1%7D%20%5E%7B6%7D%20%28n%20-%203%29%20%3D%20%28%20-%202%29%20%2B%20%28%20-%201%29%20%2B%20%280%29%20%2B%20%281%29%20%2B%20%282%29%20%2B%20%283%29%20%3D%203)
The correct answer is D