Answer: x = 17 
Step-by-step explanation:
From the question: y α x
⇒ y = kx
y=4 and x = 10 implies
4 = 10k
k = 4/10
k = 2/5
substitute k = 2/5 into the equation
y = 2/5 x
When y = 7 , the equation becomes
7 = 
35 = 2x
35/2 =x
Therefore : 17 
x =
Answer: 85.13
Step-by-step explanation:
We know:
Circumference = 2*3.14r
Area of a circle = 3.14r²
We need to find the radius given the circumference before solving for the area:
32.7 = 2*3.14r
32.7/6.28 = 6.28r/6.28
r = 5.20700637
Now that we know the radius, we can plug it in to find the area:
A = 3.14(5.20700637)²
A = 3.14(27.1129153)
A = 85.134554
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
So in this case, the center is (2, -3) and the radius is 4/3.
First, make a dotted line through the figure, so that you have a rectangle and a triangle. Rectangle area is base times height. 15 times 6 is 90. Triangle formula fro area is base times height divided by 2. Subtract 6 from 24, because that is the height of the triangle. 18x15 is 270. 270 equals 360.