Answer:
Slope is defined as the difference in the vertical axis divided by the difference in the horizontal axis, going left to right (s = dy/dx). P has a lesser x co-ordinate, so it will be R - P in this case, giving us (ry - py) / (rx - px):
Answer:
94.88 cubic units
Step-by-step explanation:
Volume of the prism = Area of base * Height
Answer:
Between 9 and 10.
Step-by-step explanation:
We know that √81 = 9 and that √100 = 10.
Since √95 is between √81 and √100, we know it will be between 9 and 10.
√95 = 9.74679
Total tickets sold :
14 + 6 = 20
fraction of child tickets sold = 14/20
then, we convert this fraction to %.
14/20 = 70/100
( multiply by 5 )
percentage = 70%
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
