Answer:
Step-by-step explanation:
We have the cone and the half-sphere.
The formula of a volume of a cone:
r - radius
H - height
We have r = 7cm and H = (22-7)cm=15cm. Substitute:
The formula of a volume of a sphere:
R - radius
Therefore the formula of a volume of a half-sphere:
We have R = 7cm. Substitute:
The volume of the given shape:
Substitute:
Answer:
y=9
Step-by-step explanation:
Slope: 9-9/-2-15=0
Therefore, y=0x+b
Plug values in: 9=0(-2)+b
0+b=9
b=9
Therefore, equation is y=9
...........................
7 is the missing numerator in the equivalent fraction with a denominator of 2.
<u>Step-by-step explanation</u>:
The mixed fraction is 3 1/2.
- Convert it into a proper fraction to get a equivalent fraction.
- Multiply the denominator 2 with 3 and then add 1 to the answer.
⇒ 3 1/2 = ((3
2) + 1)/2
⇒ 3 1/2 =7/2
∴ The numerator of the equivalent fraction is 7.
First let's solve for the rate, "b", by setting up a ratio with the two points given:
16.875/7.5=(ar^3)/(ar)
2.25=r^2
r=1.5
Now we need to solve for the initial value a using either point given...
7.5=a(1.5)^1
7.5=1.5a
a=5
So now we have solved for both variables and have a complete equation:
y=5(1.5)^x
