In math, slope<span> is the ratio of the vertical and horizontal changes between </span>two points<span>on a surface or a line. The vertical change between </span>two points<span> is called the rise, and the horizontal change is called the run. The </span>slope<span> equals the rise divided by the run: . This simple equation is called the </span>slope formula<span>.</span>
Answer:
21
Step-by-step explanation:
So, factors of 6 that are between 17 and 25 are 18 and 20, so that's not the numbers.
Multiples of 3 are 18, 21, and 24.
The only number that would be reasonable enough is 21, because it is a multiple of 3 and is not a factor of 6.
Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5
By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1
Area of outer circle =
![\pi R^2=\pi7^2=49\pi](https://tex.z-dn.net/?f=%5Cpi%20R%5E2%3D%5Cpi7%5E2%3D49%5Cpi)
Area of large shaded circle =
![\pi x^2=\pi5^2=25\pi](https://tex.z-dn.net/?f=%5Cpi%20x%5E2%3D%5Cpi5%5E2%3D25%5Cpi)
Area of 4 small shaded circles =
![4\pi r^2=4\pi1^2=4\pi](https://tex.z-dn.net/?f=4%5Cpi%20r%5E2%3D4%5Cpi1%5E2%3D4%5Cpi)
Total area of shaded circles =
![25\pi+4\pi=29\pi](https://tex.z-dn.net/?f=25%5Cpi%2B4%5Cpi%3D29%5Cpi)
Shaded area as a fraction of that of the outer circle