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
Hello,
The excluded values are the roots of the denominator.
x²-7x+10=x²-2x-5x+10=x(x-2)-5(x-2)=(x-2)(x-5)
Roots of the denominator are x=2 and x=5
<em>(x - 5)(x + 5)</em>
- Step-by-step explanation:
<u><em> use formula </em></u>
<em>a² - b² = (a - b)(a + b)</em>
<em />
<em>x² - 25 = x² - 5² = (x - 5)(x + 5)</em>
-1/4 the negative reciprocal of the slope of the red line
Answer:
20 feet
Step-by-step explanation:
In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)
The hypotenuse is always = c, so you'd set up the equation like this:
16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)
This equation simplifies to 256 + 144 = c^2
which further simplifies to 400 = c^2
to solve for c, we square root both sides so the c is isolated:

20 = c
so the length of the kite string is 20 feet