Billy’s closet has 12 shirts, 7 pairs of pants, and 4 pairs of shoes. How many different outfits (an outfit consists of a shirt, a pair of pants, and a pair of shoes) can be made from his closet?

idn

step-by-step explanation:

a

step-by-step explanation:

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

pi x^2

step-by-step explanation:

pi times x squared