9514 1404 393
Answer:
240 ft by 480 ft
Step-by-step explanation:
Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.
The fenced field dimensions are 240 feet by 480 feet.
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You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.
The total area is the product of these dimensions:
A = x(960 -x)/2
We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.
The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.
So to do this one, you have to do the problem backwards!
The equation looks like this with everything plugged in:
272.2 = 2(3.14)r
You are looking for r, so start dividing
272.2 = 2(3.14)r
136.1 = (3.14)r
43.3 = r
Therefore the radius is about 43.3 in.
I hope I helped!
(a + b)^3 = a^3 + 3a^2b + 3ab^2+ b^3
(a +(- b))^3 = (a-b)^2 = a^3 - 3a^2b + 3ab^2- b^3
2 ones and 8 hundredths
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the first zero is tens, ones, and after the decimal, to the right is the tenths, hundredths and so on
12Answer:
Step-by-step explanation:
Answer: Step-by-step explanation: We are given an exponential equation.We need to convert it into it's equivalent equation.Let us factor 4.4 = 2 × 2Therefore, 2 × 2 could be written as .Now, let us factor 64 in terms of 2's.64 = 2 × 2× 2× 2× 2× 2 = .Replacing 4 by and 64 by in original equation, we get Distributing 2 over (x+3), we get
