Answer:
Minutes = 225
Cost = $41.75
Step-by-step explanation:
It is given that:
Cost of Plan A = $8
Per minute cost = $0.15
Let,
m be the number of minutes
A(m) = 0.15m + 8
Cost of Plan B = $17
Per minute cost = $0.11
B(m) = 0.11m + 17
For same cost,
A(m) = B(m)
0.15m+8 = 0.11m + 17
0.15m - 0.11m = 17 - 8
0.04m = 9
Dividing both sides by 0.04

Cost of 225 minutes
A(225) = 0.15(225) + 8
A(225) = $41.75
Therefore,
Minutes = 225
Cost = $41.75
The sum of angles of a triangle is 180°.
48 +(6x -28) +2x = 180
8x +20 = 180
8x = 160
x = 20
∠B = (6x -28)° = (6*20 -28)° = 92°
∠C = 2x° = 40°
___
x = 20
∠B = 92°
∠C = 40°
Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.


We set the formula equal to the volume and replace h with 30 in.


Divide both sides by 30pi in.

Take the square root of each side.


The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.



If segment AB is perpendicular to segment CD, then a right angle (90°) is formed.
7x + 27 = 90
7x = 63
x = 9