Answer:
the answer is 12
Step-by-step explanation:
Answer:
a. 68 mi/h
b. It will take Nolan 3 hours at this rate
Answer:
![\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BV%3D%5Cdfrac%7B1%2C421%5Cpi%7D%7B3%7D%5C%20cm%5E3%7D)
Step-by-step explanation:
We have the cone and the half-sphere.
The formula of a volume of a cone:
![V_c=\dfrac{1}{3}\pi r^2H](https://tex.z-dn.net/?f=V_c%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2H)
r - radius
H - height
We have r = 7cm and H = (22-7)cm=15cm. Substitute:
![V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3](https://tex.z-dn.net/?f=V_c%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%287%5E2%29%2815%29%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%2849%29%2815%29%3D%5Cdfrac%7B735%5Cpi%7D%7B3%7D%5C%20cm%5E3)
The formula of a volume of a sphere:
![V_s=\dfrac{4}{3}\pi R^3](https://tex.z-dn.net/?f=V_s%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20R%5E3)
R - radius
Therefore the formula of a volume of a half-sphere:
![V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3](https://tex.z-dn.net/?f=V_%7Bhs%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20R%5E3%3D%5Cdfrac%7B2%7D%7B3%7D%5Cpi%20R%5E3)
We have R = 7cm. Substitute:
![V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3](https://tex.z-dn.net/?f=V_%7Bhs%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5Cpi%287%5E3%29%3D%5Cdfrac%7B2%7D%7B3%7D%5Cpi%28343%29%3D%5Cdfrac%7B686%5Cpi%7D%7B3%7D%5C%20cm%5E3)
The volume of the given shape:
![V=V_c+V_{hs}](https://tex.z-dn.net/?f=V%3DV_c%2BV_%7Bhs%7D)
Substitute:
![V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B735%5Cpi%7D%7B3%7D%2B%5Cdfrac%7B686%5Cpi%7D%7B3%7D%3D%5Cdfrac%7B1%2C421%5Cpi%7D%7B3%7D%5C%20cm%5E3)
Step-by-step explanation:
let 6x-3y =3 be equation 1 and -2x +6y=14 be equation 2
take 2 common from eqn 2 let the optioned eq be equation number 3
and solve eq number 1 and 3
Answer:
34x67=865
divide, multiply and add. then do h/nm
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Step-by-step explanation: