Answer: frequency
Step-by-step explanation:
|2(-5) - 1| + 10
|-10-1| + 10
|-11| + 10
11 + 10
21 is your answer
Hope this helped!
PERFECT application of the general equation of things
that are moving up and down in gravity:
H(t) = H₀ + v₀t + 1/2 g t²
t = time after the toss
H(t) = height at any time after the toss
H₀ = height from which it's tossed
v₀ = initial speed
g = acceleration of gravity
I'm going to call 'UP' = the positive direction .
So ...
H₀ = +40 ft
v₀ = +54 ft/sec
g = -32 ft/sec²
When the object hits the ground, H(t) = 0 .
So you have ...
0 = 40 + 54 t - 16 t²
Let me re-write that for you, to make it a
little easier and more familiar:
- 16 t² + 54 t + 40 = 0
Divide each side by -2 : 8 t² - 27 t - 20 = 0
Now go to your toolbox, pull out your quadratic formula,
solve that quadratic equation, and you'll get the usual two
solutions.
The positive one is the one you want.
The negative one refers to time before the toss, and may be discarded.
Since you have the 42-deg angle and the length of the opposite side, 31, you can use the Law of Sines.
We will use the law of sines first to find x.
Once we know x, we can find the angle opposite y.
Then we can find y.
Let z = the angle opposite y.
z + 42 + 53 = 180
z = 85
