Step-by-step explanation:
use CAH method (Cos angle = adjacent/hypotenuse)
Given adjacent = 5
Hypotenuse = 12,
Answer:
Step-by-step explanation:
If we are to find q(p(x)), we are to start at the innermost part of the problem which is p(x). Take the function p(x) and fill it into q(x) every place you see an x:
is the composition of p into q. Now all we have left to do is simplify.
Then we have to finally multiply in the 2 to get:
Answer: 12.2474487139
Step-by-step explanation:
(I think what you wrote is just the square root of 150? if I read this wrong please let me know so I can correct my answer.)
*If you plug in the square root of 150 into a calculator, you get 12.2474487139
Answer: 8.3 ft
Step-by-step explanation:
Here, The volume of this perfectly spherical balloon is approximately 2361.7 cubic feet.
Since, the volume of a sphere, 
Where r is the radius of the sphere.
Here V= 2361.7 cubic feet
Therefore, 
⇒ 
⇒
≈8.3 feet
Thus, the radius of the sphere = 8.3 feet
Answer:
The arrow is at a height of 48 ft after approximately <u>0.55</u> s and after <u>5.45</u> s
Step-by-step explanation:
The following information is missing:
<em>The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s? </em>
If the arrow is at a height of 48 ft and its initial velocity is 96 ft/s, then:
48 = 96*t - 16*t²
16*t² - 96*t + 48 = 0
16*(t² - 6*t + 3) = 0
t² - 6*t + 3 = 0
t² - 6*t + 3 + 6 = 0 + 6
t² - 6*t + 9 = 6
(t - 3)² = 6
t - 3 = √6
t - 3 = 2.45; t = 2.45 + 3; t = 5.45
or
t - 3 = -2.45; t = -2.45 + 3; t = 0.55
