Answer:
60.22in^2.
Step-by-step explanation:
First, find the area of the rectangle. 14.1x7=98.7.
Then, we need to find the area of the circle and subtract it from the area of the rectangle.
The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).
Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.
Brian should purchase Choice C of fabric
<em><u>Solution:</u></em>
Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long
So piece of fabric should be between: 49 and 53 inches
- Choice A is
feet long
Let us convert feet to inches

Now convert to inches
We know that,
1 feet = 12 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice B is
feet long

Now convert to inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice C is
feet long

Now convert to inches

So this 52 inches lies between 49 and 53 inches
So Brian should purchase Choice C of fabric
2(5x + 15) + 2<span>(4x + 3) = 360
10x + 30 + 8x + 6 = 360
18x = 324
x = 18
so
RST = </span><span>5x + 15 = 5(18) + 15 = 105
answer
RST = 105 degree</span>