Please help and thank you

Mathematics

2 answers:

Mariana [72]3 years ago

7 0

Answer:

B. l = (S - πr^2) / πr

Step-by-step explanation:

S = πrl + πr^2 solve for l

πrl = S - πr^2

l = (S - πr^2) / πr

Answer is B. l = (S - πr^2) / πr

german3 years ago

3 0

Solve for L (get L by itself)

S = πrl + πr² First subtract πr²

S - πr² = πrl Then divide πr to get L by itself

(S-πr²) ÷ (πr) = l Your answer is B

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

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Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,