On a ferris wheel, Sarah observes that it takes 45 seconds for her chair to complete a full revolution. Her chair is 30 feet fro
m the axle of the ferris wheel.
To the nearest hundreth, Sarah's angular velocity is _____ radians per minute.
1 answer:
Answer:
The angular velocity is 8.38 radians per minute
Step-by-step explanation:
From the question,
It takes 45 seconds to complete a full revolution,
That is, 1rev/45secs
First, we will convert this to revolutions per minute (rev/min)
1rev/45secs = ![\frac{1 revolutions}{45 seconds} \times \frac{60seconds}{1minute}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20revolutions%7D%7B45%20seconds%7D%20%5Ctimes%20%5Cfrac%7B60seconds%7D%7B1minute%7D)
= 4/3 rev/min
Now, we will convert this to radians per minute (rad/min)
1 revolutions = 2π rad
4/3 rev/min = ![\frac{\frac{4}{3} rev}{min} \times \frac{2\pi rad}{1 rev}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B4%7D%7B3%7D%20%20rev%7D%7Bmin%7D%20%5Ctimes%20%5Cfrac%7B2%5Cpi%20%20rad%7D%7B1%20rev%7D)
= 8.38 rad/min
Hence, the angular velocity is 8.38 radians per minute
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Answer:
a. 24
b. 864
Step-by-step explanation:
a. The demand function is:
P = 60 - 2Q
When P = 12:
12 = 60 - 2Q
2Q = 60 - 12
2Q = 48
Q = 48/2 = 24
b. Consumer surplus is given as the integral of Demand function:
![CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\](https://tex.z-dn.net/?f=CS%20%3D%20%5Cint%5Climits%20%7B%5BP%28Q%29%20-%20%28p%29%28Q%29%5D%20%5C%20dQ%5C%5C)
This implies that:
![CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864](https://tex.z-dn.net/?f=CS%20%3D%20%5Cint%5Climits%20%7B60%20-%202Q%7D%20%5C%2C%20dQ%5C%5C%5C%5CCS%20%3D%2060Q%20-%20Q%5E2%5C%5C%5C%5CCS%20%3D%20%2860%20%2A%2024%29%20-%2024%5E2%5C%5C%5C%5CCS%20%3D%201440%20-%20576%5C%5C%5C%5CCS%20%3D%20864)
verry very sorry for this
Yes because you could wrote -15/5.
Answer:
12
Step-by-step explanation:
For these problems you should use the pythagorean theorem: a^2+b^2=c^2
In this case, 13=c and 5=a
so:
5^2+x^2=13^2
25+x^2=169
subtract 25 from both sides
x^2=144
√144=12
missing side=12
WHAT THE HECK IS THIS
I DONT EVEN KNOW THIS
THE HECK