Answer:
2 meters
Step-by-step explanation:
We need to use trigonometry for this. The appropriate one would be tangent, which is (opposite side) divided by (adjacent side).
In this case, the opposite side of angle A is BC, which is 6 meters. The adjacent side of angle A is AB, which is the ground. Since we don't know its length, we call it x.
Now, we write:
= 6/x
To solve, we just multiply both sides by tan(x) and x:
x = 6/[tan(72)] ≈ 1.95 meters ≈ 2 meters.
Thus, the answer is 2 meters.
Hope this helps!
Answer:
Step-by-step explanation:
would be graph x
Answer:
Step-by-step explanation:
Let r represent Linda's walking rate.
We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be miles per hour.
We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.
Since both times are equal, so we will get:
Therefore, the equation can be used to solve the rates for given problem.
Cross multiply:
Therefore, Linda's walking at a rate of 3 miles per hour.
Linda's bike riding rate would be miles per hour.
Therefore, Linda's riding the bike at a rate of 12 miles per hour.
The answer is B because in total you there are 15 bicycles and tricycles so b +t =15
Bicycles have 2 wheels and tricycles have 3 wheels so 2b + 3t = 45
Answer:
a) 40, 50, 55, 57.5
b)
Step-by-step explanation:
h₀ = Initial height of the ball =20
r = Rebound fraction = 0.5
a) The series of bouncing balls is given by
Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)
S₁=h₀+2h₀r¹=20+2×20×0.5=40
S₂=h₀+2h₀(r¹+r²)=20+2×20×(0.5+0.5²)=50
S₃=h₀+2h₀(r¹+r²+r³)=20+2×20×(0.5+0.5²+0.5³)=55
S₄=h₀+2h₀(r¹+r²+r³+r⁴)=20+2×20×(0.5+0.5²+0.5³+0.5⁴)=57.5
b) General expression for the nth term of the sequence