2- 1/2 divided by 1 - 1/4

Mathematics

1 answer:

wlad13 [49]2 years ago

3 0

Answer: 1.25

Step-by-step explanation:

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

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2 years ago

What is the domain of the function f(x) = x2 5?

professor190 [17]

If the equation is f(x)=2x+5
The domain is 2x+5

If the range is 1, the domain is 7

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The total number of people who visitedthe ocean adventure park last year was 7,040,836 . What is the valur of the digit 4 in thi

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The total number of people who visitedthe ocean adventure park last year was 7,040,836

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To find value of 4, just put FOUR zeroes after 4

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3 years ago