Answer:
x=-1 y=4 (-1,4)
Step-by-step explanation:
Answer:
Today: Tuesday, 12th January 2021
16.31 PM
![\tt 4 \frac{1}{2} - 1 \frac{1}{3}](https://tex.z-dn.net/?f=%20%5Ctt%204%20%5Cfrac%7B1%7D%7B2%7D%20%20-%201%20%5Cfrac%7B1%7D%7B3%7D%20)
![= \tt \frac{9}{2} - \frac{4}{3}](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%5Cfrac%7B9%7D%7B2%7D%20%20-%20%20%5Cfrac%7B4%7D%7B3%7D%20)
![= \tt \frac{27 - 8}{6}](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%20%20%5Cfrac%7B27%20-%208%7D%7B6%7D%20)
![\tt = \frac{19}{6}](https://tex.z-dn.net/?f=%20%5Ctt%20%20%3D%20%20%5Cfrac%7B19%7D%7B6%7D%20)
![{\orange{\boxed{\red{ \tt = 3 \frac{1}{6} }}}}](https://tex.z-dn.net/?f=%7B%5Corange%7B%5Cboxed%7B%5Cred%7B%20%5Ctt%20%20%3D%203%20%5Cfrac%7B1%7D%7B6%7D%20%7D%7D%7D%7D)
Answer:
4
Step-by-step explanation:
Answer:
0.8333333 which goes on forever
Step-by-step explanation:
Answer:
Step-by-step explanation:
Prove this:
volume of cylinder = volume of cone + volume of sphere
πr²h = (1/3)πr²h + (4/3)πr³
Note that the factor πr² is common to all three of these formulas. Factoring out this πr², we get:
h = h/3 + (4/3)r
or: 3h/3 = h/3 + 4r/3
or: 3h = h + 4r
or: 2h = 4r
or: h = 2r
Note that 2r is the diameter of the sphere, and that this diameter is twice the radius. Thus, in view of the givens. this equation h = 2r is correct.
Thus, the volume of the cylinder is equal to the volume of the cone PLUS the volume of the sphere.