Answer:
Step-by-step explanation:
Answer:
a. 45 π
b. 12 π
c. 16 π
Step-by-step explanation:
a.
If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:
Radius: 3
Height: 5
Then the volume of the cylinder is:
V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π
b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:
Radius: 3
Height: 4
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π
c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):
Then we will have:
Radius: 4
Height: 3
Then the volume of the cone is:
V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π
(6 - 4i)²
use square of difference;
6² - 2 × 6 × 4i + (4i)²
use multiplication distributive property;
36 - 2 × 6 × 4i + 4²i²
36 - 2 × 6 × 4i + 16i²
36 - 2 × 6 × 4i + 16 × -1
36 - 48i + 16 × -1
36 - 48i - 16
(36 - 16) - 48i
20 - 48i
hope that helps, God bless!
Answer: The answer is 176 or 7260
Step-by-step explanation: there is 2 sides of the wall that is 55 feet long you need to time it by 2 which will be 110. then there are 2 sides of the wall that is 33 feet high by 2 which equals 66 then add together which will be 176 or if you want to multiply the answers it will be 7260.
Answer:
13.5
8.64
Step-by-step explanation:
1) 9/100 * 150 = 13.5
2) 12/100 *72= 8.64
it means if some thing represents 9 of 100 , so by how much will it represent of a certain number (ex: 150)
