P(t)P(t)P, left parenthesis, t, right parenthesis models the number of people at the beach in Rio de Janeiro, Brazil, when it's ttt hours after midnight on a certain day. ttt 999 101010 151515
P(t)P(t)P, left parenthesis, t, right parenthesis 282828 676767 212212212
When did the number of people increase faster?

42.4

step-by-step explanation:

convert to decimal

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

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