Answer:
x = 55
Step-by-step explanation:
2x - 20 = 90
2x = 110
x = 55
Step-by-step explanation:
BDC = BAC
BAC =<u> 29°</u>
BOC = 2BDC
= 2×29
= <u>58°</u>
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:

$70 = 270 min
x = 1260 min
Where x is the charge of phone service per 1260 min.
Cross multiply:
1260 * 70 = 270 * x
88200 = 270x
88200/270 = x
x = 326.67
The total charge of cellular phone service for 1260 min is $326.67
Answer:
-21 = 6t
Step-by-step explanation:
3t - 7 = 5t
Subtract 3t from each side
3t-7-3t = 5t-3t
-7 = 2t
Multiply each side by 3 to get 6t
-7*3 = 2t*3
-21 = 6t