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Roman55 [17]
3 years ago
15

a farmer wants to fence in three sides of a rectangular field shown below with 960 feet of fencing. The other side of the rectan

gle will be a river. If the enclosed area is to be a maximum, find the dimensions of the field. ​

Mathematics
1 answer:
Alika [10]3 years ago
3 0

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.

__

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.

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Which of the following lists is in order from smallest to largest?
Stells [14]

Answer:

The following list is in order from smallest to largest is 17\%,0.175,\frac{2}{11},\frac{1}{5}

Step-by-step explanation:

Let the numbers be \frac{2}{11},\frac{1}{5},17\%,0.175

To find the list in order from smallest to largest:

\frac{2}{11},\frac{1}{5},17\%,0.175

Rewritting the above numbers as below

0.18,0.5,\frac{17}{100},0.175

0.18,0.5,0.17,0.175

Now arranging the numbers in order from smallest to largest

0.17,0.175,0.18,0.5

\frac{17}{100},0.175,\frac{2}{11},\frac{1}{5}

The arranged numbers can be written as

17\%,0.175,\frac{2}{11},\frac{1}{5}

The following list is the order from smallest to largest is 17\%,0.175,\frac{2}{11},\frac{1}{5}

5 0
4 years ago
This is a 2 part question.
irina [24]
B
just for extra space
4 0
3 years ago
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Pencils that were selling at three for 25 cents are now on sale at five for 29 cents. How much money, in cents, would you save b
natita [175]

Answer:

We would save $1.52 cents

Step-by-step explanation:

3 the pencil were at sale for 25 cent

1 pencil = 25 cent/3 =8.33 cent per one pencil

5 the pencil were at sale for 29 cent

1 pencil = 29 cent/5 =5.8 cent per one pencil

If we bought 60 pencil in group of 3 for 25 cent

=60/3= 20 pencil

25cents * 20 pencil = 500 cent per 60 pencil

If we bought 60 pencil in group of 5 for 29 cent

=60/5= 12 pencil

29cents * 12 pencil = 348 cent per 60 pencil

From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents

7 0
4 years ago
I asked this earlier and got no answer. Will give brainliest
Virty [35]
The area of a square is

s • s

We can also write this as

s^2

So, for any side length “s”, we can make a function, A(s), such that

A(s) = s^2

Now that we have a quadratic equation for the area of a square, let’s go ahead and solve for the side lengths of a square with a given area. In this case, 225 in^2

225 = s^2

Therefore,

s = sqrt(225)

s = 15

So, the dimensions are 15 x 15 in

6 0
4 years ago
Is 9.88 in scientific notation?
Vadim26 [7]
9.88 • 10°
^
|
Ten to the power of zero
4 0
3 years ago
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