A cylinder has a volume of 20x⁶y⁴ units³. If the base of the cylinder has an area of 5x³y² units², which of the following expressions represents the height of the cylinder? (Hint: V = Bh) *

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

8/k

step-by-step explanation:

answer: idk wbu

step-by-step explanation: umm..

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x