Answer:
Step-by-step explanation:
Given
See attachment for circles
Required
Ratio of the outer sector to inner sector
The area of a sector is:
For the inner circle
The sector of the inner circle has the following area
For the whole circle
The sector of the outer sector has the following area
So, the ratio of the outer sector to the inner sector is:
Cancel out common factor
Express as fraction
Answer:
Step-by-step explanation:
mid point is basically the mean of the x coordiante and the y coordinate. that means that the x coordinate in M, whihc is -1, is the mean of the x coordinate in F and G. the x coordinate in F is -2, so that means that the x coordinate og G must be 0, because 0+(-2) / 2 = -1 so -1 is the x coordinate of G.
To find the y coordinate of G, do the exact same thing. the y coordinate of M is 3, and the y coordinate of F is 5, which means that the Y coordinate of G must be 1. so the points for G are:
(-1,1)
Answer:
Step-by-step explanation:
Given
Required
Find P(A) and P(B)
We have that:
--- (1)
and
--- (2)
The equations become:
--- (1)
Collect like terms
Make P(A) the subject
--- (2)
Substitute:
![[0.770 - P(B)] * P(B) = 0.144](https://tex.z-dn.net/?f=%5B0.770%20-%20P%28B%29%5D%20%2A%20P%28B%29%20%3D%200.144)
Open bracket
Represent P(B) with x
Rewrite as:
Expand
Factorize:
![x[x - 0.45] - 0.32[x - 0.45]= 0](https://tex.z-dn.net/?f=x%5Bx%20-%200.45%5D%20-%200.32%5Bx%20-%200.45%5D%3D%200)
Factor out x - 0.45
![[x - 0.32][x - 0.45]= 0](https://tex.z-dn.net/?f=%5Bx%20-%200.32%5D%5Bx%20-%200.45%5D%3D%200)
Split
Solve for x
Recall that:
So, we have:
Recall that:
So, we have:
Since:
Then:
A water sprinkler sends water out in a circular pattern. Determine how large an area is watered. The radius of watering is 19 feet. Use 3.14 for radius
area=l*b =3.14*19
