Answer:
what
Step-by-step explanation:
Answer:
x = 100 degrees
Step-by-step explanation:
There are 360 degrees total in this figure. Since 160 is already shown, we can subtract it from 360 to solve for x. 360 - 160 = 200. So, 200 degrees is split among the remaining values, which are 2 x's. Since each x has the same value, we can divide 200 evenly among the two of them. 200/2 = 100. So, x = 100.
P.S.: Sorry if this is long-winded, I haven't taken geometry in a while. I hope I explained it well enough for you and other Brainly users.
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
Answer:
80
Step-by-step explanation:
80 * 20% = 16
then 16 is 20% of 80
Answer:
14.38
Step-by-step explanation:
1. multiply the 5 packs of pencils times 0.79 each (5x0.79 = 3.95)
2. multiply the 8 packs of pens times 1.19 each (8x1.19=9.52)
3. add the total of pens and pencils together (3.95+9.52=13.44)
4. multiply 13.44 times 7% sales tax (13.44x.07=0.94)
5. add the total plus the sales tax (13.44+0.94=14.38