Answer:
1)Area of circle: 64
2)Area of semicircles: 128
3)Area of quarter-circles: 128
4)Total area of pattern: 320
Step-by-step explanation:
r = 8cm
Given: 1 circle, 4 semicircles, and 8 quarter-circles.
Area of a circle: 
1) A =
where r = 8
A = 64
2) 4 semicircles = 2 circles
so the answer is 2*A = 128
3) 8 quarter-circles = 2 circles
Therefore, the answer here is the same as the answer for #2!
4)There are 5 circles total because:
1 circle = 1 circle
4 semicircles divided by 2 = 2 circles (because
times 4)
8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles
So ... 1 + 2 + 2 = 5 circles
Now we need to find the area of 5 circles which is just 5*A
5*A = 320
<u>Answer:</u>
The correct answer option is D. (-2, 1).
<u>Step-by-step explanation:</u>
We are given the coordinates of the square A"B"C"D" after the rule is applied and we are to find the coordinates of the vertex A.
For that, we will reverse the rule.
A" = (-5, -3)
x: - 5 + 4 = -1
y: - 3 + 1 = -2
Now we will reverse the 90 degrees counter in counter clockwise rotation:
(x, y) ---> (y, -x)
(-1. -2) ---> (-2, -(-1)) = (-2, 1)
Find the slope first
m=y2-y1/x2-x1
m=4+1/10+15
m=5/25 = 1/5
use point slope formula and plug in any points
y-y1=m(x-x1)
y-4=1/5(x-10)
y-4=1/5x-2
y=1/5x+2