Answer:
See example below.
Step-by-step explanation:
You'll need the height and radius of the cone to find the volume. Use the example below to find your solution.
Example:
The volume of the cone is found using the volume formula for a cone
.
Substitute h=18 and r = 6.
A half sphere is a hemisphere. The volume of a hemisphere is half of
. Substitute r=6.
However the hemisphere is half this so it is
.
The total volume for this example is 452.6 + 678.24 = 1,130.84
Answer:
A. 6.0
Step-by-step explanation:
We have been given that the the inside diameter of the part on the paper is 1.50 inches.
We have been given that scale is 4:1 for actual size to drawing side.
![\text{Scale}=\frac{\text{Actual size}}{\text{Map size}}=\frac{4}{1}](https://tex.z-dn.net/?f=%5Ctext%7BScale%7D%3D%5Cfrac%7B%5Ctext%7BActual%20size%7D%7D%7B%5Ctext%7BMap%20size%7D%7D%3D%5Cfrac%7B4%7D%7B1%7D)
Upon substituting 1.50 in our given proportion, we will get:
![\frac{\text{Actual size}}{1.50\text{ inches}}=\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BActual%20size%7D%7D%7B1.50%5Ctext%7B%20inches%7D%7D%3D%5Cfrac%7B4%7D%7B1%7D)
![\frac{\text{Actual size}}{1.50\text{inches}}\times 1.50\text{ inches}=\frac{4}{1}\times 1.50\text{ inches}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BActual%20size%7D%7D%7B1.50%5Ctext%7Binches%7D%7D%5Ctimes%201.50%5Ctext%7B%20inches%7D%3D%5Cfrac%7B4%7D%7B1%7D%5Ctimes%201.50%5Ctext%7B%20inches%7D)
![\text{Actual size}=4\times 1.50\text{ inches}](https://tex.z-dn.net/?f=%5Ctext%7BActual%20size%7D%3D4%5Ctimes%201.50%5Ctext%7B%20inches%7D)
![\text{Actual size}=6.0\text{ inches}](https://tex.z-dn.net/?f=%5Ctext%7BActual%20size%7D%3D6.0%5Ctext%7B%20inches%7D)
Therefore, the actual size is 6.0 inches and option A is the correct choice.
Answer:
A) $6
B) x y
5. 30
6. 36
7. 42
8. 48
9. 54
10. 60
C) y intercept 0 slope +6
D) the rate of change is the slope in the graph
Answer:
(-5/2,13/2)
Step-by-step explanation:
U add the x values and divide by two. U do same to the y values
(-2+(-3))/2. (6+7)/2
-5/2., 13/2
There are 14 possibilities for first place.
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.
Multiply them together and get 24024 possibilities.
Hope this helps!