Answer:
Volume of a right prism = 65 cubic inches
Its height is increased by a factor of 20.
To find:
The new volume of the prism if the other dimensions do not change.
Solution:
The volume of a prism is:

Where, B is the base area and h is the height.
A right prism has a volume of 65 cubic inches.

The height of prism is increased by a factor of 20. So, the new volume is:




The volume of the new prism is 1300 in³.
Therefore, the correct option is B.
Answer:
P=0.54.
Step-by-step explanation:
We know that in a sample of 6500 automobiles found that 1560 of the automobiles were black, 3120 of the automobiles were sedans, and 1170 of the automobiles were black sedans.
We calculate the number of sedans that are not black:
3120-1170=1950
We calculate the number of black cars that are not sedans:
1560-1170=390
The number of automobiles which are black or a sedan is
1950+390+1170=3510.
The probability that the automobile is black or a sedan is:
P=3510/6500
P=0.54.
Answer:
32^3
Step-by-step explanation:
You are multiplying 32 3 times.
10^2 + b^2 = 26^2
100 + b^2 = 676
-100 -100
b^2 = 576
square root of b equals b
square root of 576 equals 24
The other leg equals 24
Answer:
x=13
Step-by-step explanation:
x+11+4x-22+10x-4=180
Combine like terms
x+4x+10x +11-22-4 = 180
15x -15 = 180
Add 15 to each side
15x-15+15 = 180+15
15x = 195
Divide each side by 15
15x/15 =195/15
x =13