<span>C.
glacial melting<<<<<<<<<<<<<<<</span>
Look at the picture.
We have the equation (1) 12x + 4y = 40.
We know, the sum of the acute angles in a right triangle is 90°.
Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90
Substitute (1) to (2):
40 + 17x - y = 90 <em>subtract 40 from both sides</em>
17x - y = 50 (3)
We have the system of equations:
![\left\{\begin{array}{ccc}12x + 4y = 40&|:4\\17x-y=50\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x + y = 10\\17x-y=50\end{array}\right}\ \text{add both side of equations}\\.\qquad20x=60\qquad|:20\\.\qquad x=3](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D12x%20%2B%204y%20%3D%2040%26%7C%3A4%5C%5C17x-y%3D50%5Cend%7Barray%7D%5Cright%5C%5C%5Cunderline%7B%2B%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D3x%20%2B%20y%20%3D%2010%5C%5C17x-y%3D50%5Cend%7Barray%7D%5Cright%7D%5C%20%5Ctext%7Badd%20both%20side%20of%20equations%7D%5C%5C.%5Cqquad20x%3D60%5Cqquad%7C%3A20%5C%5C.%5Cqquad%20x%3D3)
Substitute the value of x to (3)
![17(3)-y=50\\51-y=50\qquad|-51\\-y=-1\to y=1](https://tex.z-dn.net/?f=17%283%29-y%3D50%5C%5C51-y%3D50%5Cqquad%7C-51%5C%5C-y%3D-1%5Cto%20y%3D1)
Answer: x = 3 and y = 1.
Well you have to convert the pounds to ounces
1 pound = 16 ounces
2oz+40oz+4oz
46oz
2/5 1/3 4/9 3/4. that's the answer
Formula: V = (2/3) π r 3.
Radius is 3cm.
So, now we can plug it in to solve for the volume.
V = (2/3) π 3^3
First, let's multiply 3^3.
3^3 = 27
Then, 27 x π = 84.82
After, multiply by 2/3.
84.82 x 2/3 = 56.55
Lastly, round 56.55 to the nearest tenth of a cubic centimeter.
56.55 = 56.6
Therefore the volume of a hemisphere with a radius of 3cm is 56.6cm^3.