Answer:
the correct answer is HLI
Given:
- Outer diameter = D = 80 ft
- Inner diameter = d = 40 ft
So,
Outer radius = R = D/2
=> R = (80 ft)/2
=> R = 40 ft
Inner radius = r = d/2
=> r = (40 ft)/2
=> r = 20 ft
Area of paved pathway = πR² - πr²
= π(R² - r²)
= π(R + r)(R - r)
= π(40 + 20)(40 - 20) ft²
= π(60)(20) ft²
= 3.14 * 1200 ft²
= 3768 ft²
Answer:
the factors of x^3-1 are ![x^3 -1 = (x-1) (x^2 +x+1)\\](https://tex.z-dn.net/?f=x%5E3%20-1%20%3D%20%28x-1%29%20%28x%5E2%20%2Bx%2B1%29%5C%5C)
Step-by-step explanation:
We need to find factors of x^3 -1
![x^3-1 \\(x)^3 -(1)^3\\We \,\, know\,\, a^3 -b^3 = (a-b) (a^2 +ab + y^2) \\So, \,\, using\,\, the \,\, formula\,\,\\Here\,\, a= x \,\,and\,\, b= 1\\(x)^3 -(1)^3 = (x-1) (x^2 +x+1)\\](https://tex.z-dn.net/?f=x%5E3-1%20%5C%5C%28x%29%5E3%20-%281%29%5E3%5C%5CWe%20%5C%2C%5C%2C%20know%5C%2C%5C%2C%20a%5E3%20-b%5E3%20%3D%20%28a-b%29%20%28a%5E2%20%2Bab%20%2B%20y%5E2%29%20%5C%5CSo%2C%20%5C%2C%5C%2C%20using%5C%2C%5C%2C%20the%20%5C%2C%5C%2C%20formula%5C%2C%5C%2C%5C%5CHere%5C%2C%5C%2C%20a%3D%20x%20%5C%2C%5C%2Cand%5C%2C%5C%2C%20b%3D%201%5C%5C%28x%29%5E3%20-%281%29%5E3%20%3D%20%28x-1%29%20%28x%5E2%20%2Bx%2B1%29%5C%5C)
So, the factors of x^3-1 are ![x^3 -1 = (x-1) (x^2 +x+1)\\](https://tex.z-dn.net/?f=x%5E3%20-1%20%3D%20%28x-1%29%20%28x%5E2%20%2Bx%2B1%29%5C%5C)
First, let's find how many page's Greta read per day. She read a total of 900 pages across 15 days, so she read:
900 pages / 15 days = 60 pages/day
Now we can find how many pages she read per hour by dividing the 60 pages per day by 5 hours:
60 / 5 = 12 pages/hour
The answer is 12 pages.