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.)
Answer:
252
Step-by-step explanation:
The order of the books isn't important, so we'll use combinations.
The number of ways to choose 5 books from 10 is:
₁₀C₅ = 10! / (5! (10 − 5)!)
₁₀C₅ = 10! / (5! 5!)
₁₀C₅ = 10×9×8×7×6 / (5×4×3×2×1)
₁₀C₅ = 252
Answer:
3m = -3
Step-by-step explanation:
You are given
2m - 6 = 8m,
hence,
2m - 8m = 6,
-6m = 6,
m = 6%2F%28-6%29,
m = -1.
Therefore, 3m = -3.
Answer:
Fail :b
Step-by-step explanation:
Answer:
= 0.38 m/s
Step-by-step explanation:
▪Total distance = 800 m
5 min = 100 m
▪Remaining distance = 800 - 100 = 700 m
20 min = 700 m
▪Total time taken = 20 + 10 + 5 = 35 min
If 1 min = 60 sec
What about 35 min = ?
= 35 x 60
= 2100 sec
▪Average speed = TD ÷ TT
= 800 ÷ 2100
= 0.38 m/s