Answer:
![\sqrt{\frac{3V}{\pi h} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B3V%7D%7B%5Cpi%20h%7D%20%7D)
Step-by-step explanation:
We have
.
We can multiply both sides by 3 to get:
![3V = \pi r^2h](https://tex.z-dn.net/?f=3V%20%3D%20%20%5Cpi%20r%5E2h)
Divide by
by both sides
![\frac{3V}{\pi} = r^2h](https://tex.z-dn.net/?f=%5Cfrac%7B3V%7D%7B%5Cpi%7D%20%3D%20%20r%5E2h)
And divide by h by both sides:
![\frac{3V}{\pi h} = r^2](https://tex.z-dn.net/?f=%5Cfrac%7B3V%7D%7B%5Cpi%20h%7D%20%20%3D%20%20r%5E2)
And finally take the square root of both sides.
![\sqrt{\frac{3V}{\pi h} } = r](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B3V%7D%7B%5Cpi%20h%7D%20%7D%20%20%3D%20%20r)
Done!
XY is longer than XZ. Hope this helps!
Answer:
what?????............. :O
Answer:
slope = - 1
Step-by-step explanation:
Parallel lines have equal slopes.
Thus the slope of TW equals the slope of UV
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = U(a + 2, b + 2) and (x₂, y₂ ) = V(a + 5, b - 1)
m =
← distribute and simplify numerator/ denominator
= ![\frac{b-1-b-2}{a+5-a-2}](https://tex.z-dn.net/?f=%5Cfrac%7Bb-1-b-2%7D%7Ba%2B5-a-2%7D)
=
= - 1