Answer:
Area of ΔABC = 144 ft^2
Step-by-step explanation:
ΔABC is 45 45 90 right triangle
Ratio of leg (AC, BC) : hypo (AB) = x : x√2
Given hypo AB = 24 so AC = BC = 12√2
Area of ABC = 1/2 bh
= 1/2 ( 12√2)( 12√2)
= 1/2(144 * 2)
= 144 ft^2
To get the extrema, derive the function.
You get y' = 2x^-1/3 - 2.
Set this equal to zero, and you get x=0 as the location of a critical point.
Since you are on a closed interval [-1, 1], those points can also have an extrema.
Your min is right, but the max isn't at (1,1). At x=-1, you get y=5 (y = 3(-1)^2/3 -2(-1); (-1)^2/3 = 1, not -1).
Thus, the maximum is at (-1, 5).
F (her fastest time) = 730 -31
S (her slowest time) =730 +31
7/8 and 10/15 are two fractions that are greater than 22%
