1 A
2 C
3 D
4 C
5 B
6 B
7 C
8 C
9 A
10 A
Answer: 211 in²
Step-by-step explanation:
To find the area of the shaded region, you want to find the area of the rectangle, then subtract the area of the circle and the triangle. First, we need to find the area of the triangle. We know that there is a circle because 2 halves make a full circle.
Area of Circle
A=πr²
A=π(6)² [exponent]
A=36π [multiply]
A=113
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Area of Triangle
A=bh/2
A=(18)(12)/2 [multiply]
A=216/2 [divide]
A=108
Now that we have the area of the shapes, let's find the area of the entire rectangle.
A=lw
A=(36)(12) [multiply]
A=432
With the area of the rectangle, we can subtract the areas.
432-108-113=211
The area of the shaded region is 211 in².
Well if we know the total surface area of thr given triangular prism it would determine how much I need these points.
So, let's first find the slope of the second question:
Our second equation has a slope of one half, so we know that a line perpendicular to it will have the negative reciprocal slope of that, so -2. We have this now as our equation:
We are given the point (3,-6), so let's plug the x and y in and find our b:
Since our b is 0, our equation is simply:
