Answer:
The answer to your question is:
Step-by-step explanation:
Q1. They are vertical angles, so they measure the same
[2(x + 10)] = (3x - 30)
2x + 20 = 3x -30
2x - 3x = -30 - 20
- x = - 50
x = 50
Q2. They are also vertical angles, so they measure the same.
[6(x - 2)] = 3x + 30
6x - 12 = 3x + 30
6x - 3x = 30 + 12
3x = 42
x = 42/3
x = 14
∠DHG = 6(14 - 2)
∠DHG = 6(12)
∠DHG = 72
To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time to reach max height = 5 seconds
time it will reach the ground = 10 s
Answer:
28b
Step-by-step explanation:
