Step-by-step explanation:
here's the solution,
in the given figure , sum of all angles formed with O measures 360°
because, it forms a complete angle
so,
=》mPOQ + mQOR + mROS + mSOT + mTOP = 360°
=》mPOQ + mQOR + mROS + mSOT + mTOP = (90° × 4)
=》mPOQ + mQOR + mROS + mSOT + mTOP = 4 × right angle
(cuz.. right angle = 90°)
Answer: ![30](https://tex.z-dn.net/?f=30)
Step-by-step explanation:
Given
![k(x)=2x+3](https://tex.z-dn.net/?f=k%28x%29%3D2x%2B3)
![M(x)=3x^2+7x-10](https://tex.z-dn.net/?f=M%28x%29%3D3x%5E2%2B7x-10)
is given by replacing the
by
from the ![M(x)](https://tex.z-dn.net/?f=M%28x%29)
![\Rightarrow M\left(k(x)\right)=3(2x+3)^2+7(2x+3)-10\\\Rightarrow M\left(k(x)\right)=3(4x^2+9+12x)+14x+21-10\\\Rightarrow M\left(k(x)\right)=12x^2+50x+38](https://tex.z-dn.net/?f=%5CRightarrow%20M%5Cleft%28k%28x%29%5Cright%29%3D3%282x%2B3%29%5E2%2B7%282x%2B3%29-10%5C%5C%5CRightarrow%20M%5Cleft%28k%28x%29%5Cright%29%3D3%284x%5E2%2B9%2B12x%29%2B14x%2B21-10%5C%5C%5CRightarrow%20M%5Cleft%28k%28x%29%5Cright%29%3D12x%5E2%2B50x%2B38)
Now,
is
![\Rightarrow M\left(k(-4)\right)=12(-4)^2+50(-4)+38\\\Rightarrow M\left(k(-4)\right)=192-200+38\\\Rightarrow M\left(k(-4)\right)=30](https://tex.z-dn.net/?f=%5CRightarrow%20M%5Cleft%28k%28-4%29%5Cright%29%3D12%28-4%29%5E2%2B50%28-4%29%2B38%5C%5C%5CRightarrow%20M%5Cleft%28k%28-4%29%5Cright%29%3D192-200%2B38%5C%5C%5CRightarrow%20M%5Cleft%28k%28-4%29%5Cright%29%3D30)
You can double the product of 9 and 4 to get to the product of 9 and 8
15/2 = $7.5 per hour
7.5 times 5 = $37.50 earned in 5 hours
Answer:
3.5
Step-by-step explanation:
you want to add all of the balls together and then divide by 4 because that's how many color balls there are