Answer:
Length of the ramp = 18.6 feet (Approx.)
Step-by-step explanation:
Given:
Horizontal distance (base distance) = 17 feet
Angle of elevation = 24°
Find:
Length of the ramp
Computation:
Cosθ = Length of base / Length of hypotenuse
Cos 24 = Horizontal distance (base distance) / Length of the ramp
Cos 24 = 17 / Length of the ramp
0.9135 = 17 / Length of the ramp
Length of the ramp = 17 / 0.9135
Length of the ramp = 18.6 feet (Approx.)
G(x)=9
f(g(x))= 9(2)+9+2=29
Answer: 249.75
Step-by-step explanation: 85% of 135 =114.75 +135=249.75
Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Use substitution.
anywhere you see "a" , than you would plug in b + 2 in for it so....
(b - (b + 2)^4
now take the negative sign and distribute it "+"
so b - b is 0, than 0 - (-2) is -2.
so what is (-2)^4 ????? it would become positive 16
