Answer:
He would need to purchase 8 ticket books. 8*24=192
Step-by-step explanation:
171/24=7.125 so he would need 8 books
-4 is what you put on both sides Bc it’s half of b
Multiplying ,you get 18x^2+21x-24x-28. You simplify to get:
18x^2-3x-28.
The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
A graphing calculator is a great help for problems of this nature.
x ∈ {-5.63, -0.55, 2.59}