In a fifth grade class, 4/5 of the girls have brown hair. of the brown haired girls, 3/4 of them have long hair. of the girls with long brown hair, 1/3 of them have green eyes.

part a
what fraction of the girls in the class have long brown hair?

part b
what fraction of the girls in the class have long brown hair and green eyes? explain how you found your answer.

cheater

step-by-step explanation:

853.3

step-by-step explanation:

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°

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