Answer:
Height of slide = 5 feet (Approx.)
Step-by-step explanation:
Given:
Length of slide = 12 feet
Angle of depression = 25°
Find:
Height of slide
Computation:
Length of slide = Hypotenuse
Height of slide = Perpendicular
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
Sin 25 = Height of slide / 12
0.422 = Height of slide / 12
Height of slide = 12 x 0.422
Height of slide = 5.064
Height of slide = 5 feet (Approx.)
Sample space blue die = {1,2,3,4,5,6} =6 total outcomes
favorable outcomes = {1,2,3,4,5} = favorable outcomes
P(blue<6} = 5/6
Sample space green die = {1,2,3,4,5,6}=6 total outcomes
favorable outcomes = {1,2,3,4,5} = favorable outcomes
P(green<5) = 5/6
P(blue AND green both <6) = 5/6 x 5/6 = 25/36 or 0.695
Answer:22
Step-by-step explanation: the smallest the other two can be is 1 so you have to multiply 8 with 3, that equals 24, then you have to subtract 2 (1+1) and that gives you 22.
Answer:
b 3x +7y =59
Step-by-step explanation:
x is water balloons at 3 each and y is t-shirts at 7$ each.
First find the derivative of f(x):-
f'(x) = 3x^2 - 12x + 8
So instantaneous rate at x = 3
= 3(3)^2 - 12(3) + 8
= 27 - 36 + 8 = -1 answer