Shannon buys a set of 50 plastic cups for an upcoming baby shower. The cups are cylindrical and have a radius of 1.5 inches and a height of 5 inches. Find the total surface area of the 50 plastic cups. (Assume the cups have no lid.) Use the \piπ button. Round to the nearest hundredth if necessary.

30

step-by-step explanation:

idk

i hope i

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

whew you’re speaking a different language