Answer:
1. 4 is the constant
2. x > -2
3. 2.86 inches
^The formula for the circumference of a circle is C=2∏r, in which r=radius. To find the radius, then, we insert 18 in for the circumference. So 18=2∏r. Solving for r gives 9/∏, or approximately 2.86 inches.
hope this helped:)
Brainliest?
Answer:
1256 ft²
Step-by-step explanation:
20 ÷ 2 = 10
4πr²
4 × 3.14 × 10²
4 × 3.14 × 100
4 × 314
1256
Area is equal to length times width. The perimeter (the amount of rope) has to equal twice the length added to twice the width so we're left with:
A = l * w
200 = 2l + 2w
solve for either l or w
l = 100 - w
plug into the area equation to get one equation with two variables
A = w(100 - w)
A = -w^2 + 100w
take the derivative
A' = -2w + 100
set the derivative equal to zero
0 = -2w + 100
2w = 100
w = 50
This is the width that maximizes the area
with a width of 50, the length must also be 50 to have a perimeter of 200
therefore, they can rope up to 50 * 50 = 2500 ft^2
1) 1000 / 100 ⇒ 10 / 1 = 10
1000 ÷ 100 = 10
100 ÷ 100 = 1
2) 9/81 ⇒ 1/9
9 ÷ 9 = 1
81 ÷ 9 = 9
3) 4/64 ⇒ 1/16
4 ÷ 4 = 1
64 ÷ 4 = 16