The answer is: The diameter is 4 centimeters.
The explanation is shown below:
1. The volume of the cylinder is:
Where 
is the radius (
) and 
is the height (
).
Then:
2. The total volume of the 12 spheres is:
3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:
4. Now, you must solve for the radius:
![r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%5Cpi%7D%7B16%5Cpi%7D%7D%5C%5Cr%3D2cm)
5. The diameter is:
Answer:
ABCD is a rhombus
Step-by-step explanation:
Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...
AB = CD
2x +1 = 3x -11
12 = x . . . . . . . . add 11-2x to both sides
Sides AB and CD have length ...
2x +1 = 2(12) +1 = 24 +1 = 25
Then the length of side AD is ...
AD = x +13 = 12 +13 = 25
Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.
1) y=-x+4, the slope is -1
2)y=-x+4, slope is -1
3) yes
4)It's the same line if the slopes and y-intercepts are the same, so the number of corresponding points are infinite.
Answer:
There is really no substitute for reading this story. It's a classic, and gives some real insights into a culture where racial prejudice flourished, and how Scout's father stood against it.
Step-by-step explanation:
If you are reading, and have questions about what's going on, or what things mean, please ask.
Answer:
9x -2
Step-by-step explanation:
(7x + 3) + (4x - 1) - (2x + 4)
Distribute the minus sign
(7x + 3) + (4x - 1) - 2x - 4
Combine like terms
7x+4x-2x +3 -1-4
9x -2
