Here is a great website that is safe and free to help with your math problems. I wouldn't have gotten through 10th grade with out it! It's called mathway. com
Answer:
Step-by-step explanation:
The area of the shaded region can be calculated as the area of the semicircle less the area of the right triangle.
The area of the right triangle can be calculated as:
Where LM and MN have the same length because the internal angles are L=45°, M=90°, and N=45°. So the area is:
The diameter of the circle can be calculated using the Pythagorean theorem as:
So, the radius is 
Finally, the area of the semicircle is:
So, the area of the shaded region is:
The question being the case, the equation is: 8x + 6y = 136.
Where x is the number of hours spent on job A and y is the number of house spent on job B. Now to solve for both variables.
Notice that if you add x and y, you should get a total of 20 hours so x + y = 20.
To get x, x = 20 - y. Replace the answer on the original equation gives you 8(20-y) + 6y = 136.
160 - 8y + 6y = 136
160 - 2y = 136
-2y = 136 - 160
-2y = -24
<span>Solve for y by dividing both sides of this equation by -2 to get y:
y = 12
Replace y on the x + y = 20 equation to get x.
x + 12 = 20
x = 20 = 12
x = 8
Therefore:
x = 8 hours on job A
y = 12 hours on job B
Hope this helps!</span>
As you know
csc x = 1/sin x
sec x =1/cos x
so, (1/sin x) / (1/cos) = 1/sin x * cos x =
cos x / sin x = cot x
