Answer: The area of the sector will be about 141.3 square inches.
First, we need to find the area of the entire circle. The formula is pi(r^2). Inputting 18 for the radius makes the area of the circle about 1017.36 square inches.
Now, we multiply by the area by the size of the sector. It is 50 degree out of the entire 360 degrees. That is about 13.9%.
Multiply 13.9% by 1017.36 to get an area of about 141.3 square inches for the sector.
X - 17 = -57
-17. -17
x = -74
hope this helps xo
ANSWER
EXPLANATION
We use the sine rule for solving triangles.
This is given by the formula,
From the triangle,
We multiply both sides of the equation by 60 to get,
We solve for x to obtain,
To the nearest tenth, we round to one decimal place to get,
To calculate expected value,
We can add up the probability of all possible events.
The 2 possible events are either winning $50 or losing the prize, which is $ - 50
Expected value =
50 x 40 % + (-50) x 60%
= $-10
So the answer is $-10