Answer:
Step-by-step explanation:
1. Monomial times Monomial
2. Binomial times Binomial
3. Binomial times Trinomial
4. Monomial times Trinomial
5. Binomial times Monomial
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:
25(2) + 7(1) + 3x = 78....x represents the number of 3 point shots
50 + 7 + 3x = 78
57 + 3x = 78
3x = 78 - 57
3x = 21
x = 21/3
x = 7....so there were 7 three-point shots made
Answer:
She will cycle 85.169 miles in the third week.
(round if needed)
Step-by-step explanation:
56÷100=0.56 (this is 1%)
0.56 x 15 + 56 = 64.4 (you find 15% then add 56 (the original amount) because it's an increase of 15%)
repeat for the other 3 weeks
64.4÷100=0.644
0.644 x 15 + 64.4 = 74.06
74.06÷100=0.7406
0.7406 x 15 + 74.06 = 85.169
To find the value of x, assuming it is the value of the missing angle in the quadrilateral, you need to know that the sum of the angles in any quadrilateral equals 360.
360 - (66 + 95 + 114) = 85 degrees.
x = 85 degrees
