Answer: 105.84 cm^2
To find the answer, first you have to start by finding the percent of the circle in the sector. Convert the radians given to 108 degrees. 108 out of 360 is 30%.
Now, find the area of the circle. It's pi x r^2, so the area is 352.810.
Multiply this by 30% to find our area of 105.84 cm^2
|x-5| = 9
x - 5 = 9
x = 14
-(x-5) = 9
-x + 5 = 9
-x = 4
x = -4
answer is B
{-4, 14)
Answer:
47.73% probability that it takes Renee at most 29 minutes to go grocery shopping
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
![P(X \leq x) = \frac{x - a}{b-a}](https://tex.z-dn.net/?f=P%28X%20%5Cleq%20x%29%20%3D%20%5Cfrac%7Bx%20-%20a%7D%7Bb-a%7D)
Uniformly distributed between 18.5 minutes and 40.5 minutes.
This means that ![a = 18.5, b = 40.5](https://tex.z-dn.net/?f=a%20%3D%2018.5%2C%20b%20%3D%2040.5)
What is the probability that it takes Renee at most 29 minutes to go grocery shopping
![P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773](https://tex.z-dn.net/?f=P%28X%20%5Cleq%2029%29%20%3D%20%5Cfrac%7B29%20-%2018.5%7D%7B40.5%20-%2018.5%7D%20%3D%200.4773)
47.73% probability that it takes Renee at most 29 minutes to go grocery shopping
A clock is 12 hours.
11 hours and 38 minutes is 22 minutes short of being a full 12 hours.
In 12 hours the time would be 5:35 again, so now subtract 22 minutes from the time:
5:35 - 22 minutes = 5:13
In 11 hours and 38 minutes, the time will be 5:13
Hi there!
To solve is pretty easy. First, simplify.
21/4=(1/2x+3x) -> Combine Like Terms
21/4=7/2x
FLIP
7/2x=21/4
Multiply both sides by 2/7.
(2/7)*(7/2x)=(2/7)*(21/4)
x = 2/3
Hope this helps!