It raining in Alaska and raining in Ohio are independent events. One does not control the other or affect the other in any way.
For two independent events (let's call them A and B), the Probability of A and B both occurring is given by P(A and B) = P(B) x P(B).
For this problem, let A = rain in Ohio and B= rain in Alaska.
P(A and B) = P(A) x P(B)
![\frac{12}{100} =(P(A))( \frac{3}{10} ) ](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B100%7D%20%3D%28P%28A%29%29%28%20%5Cfrac%7B3%7D%7B10%7D%20%29%0A)
![( \frac{12}{100}) ( \frac{100}{30} )=P(A)](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B12%7D%7B100%7D%29%20%28%20%5Cfrac%7B100%7D%7B30%7D%20%29%3DP%28A%29)
Answer:
x= 8
Step-by-step explanation:
5.5(x-3)=17+10.5
5.5x - 16.5= 27.5
5.5x= 44
x= 8
Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
![\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m](https://tex.z-dn.net/?f=%5Ccos%5Ctheta%3D%5Cdfrac%7BB%7D%7BH%7D%5C%5C%5C%5CB%3DH%5Ctimes%20%5Ccos%5Ctheta%5C%5C%5C%5CB%3D10%5Ctimes%20%5Ccos%2875%29%5C%5C%5C%5CB%3D2.58%5C%20m)
So, the base of the ladder is 2.58 m.
None because they will have spent it all on lawsuits
These are congruent angles. So they would be equal to each other. 6x=4x+50
2x=50
x=25°
:)