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DiKsa [7]
3 years ago
11

A wildlife organization wants to fence off an area of a beach. the organization can only fence 1000 yd2. what length (x) and wid

th (y) should the organization use to use the least amount of fencing as possible?
Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0
We assume in this number that the fence is in a rectangular shape such that its perimeter is equal to,
                                   P = 2x + 2y
From the equation of the area,
                       A = xy = 1000   ; x = 1000/y
Substituting this to the equation,
                                   P = 2(1000/y) + 2
                                  P = 2000/y + 2y
Getting the differential and equating it to zero.
                                 dP = -2000/y²+ 2 = 0
The value of y from the equation is 31.62 yd
The value of x:
                                x = 1000/31.62 = 31.62 yd
Therefore, the dimension of the area to be fenced is 31.62 yd by 31.62 yd. 
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3 years ago
Use the greatest common factor to find the least common multiple of 12 and 18. What is the least common multiple of 12 and 18?
dedylja [7]

Answer:

the least common multiple of 12 and 18 is 36

4 0
3 years ago
Write an expression to find the difference in the maximum area and minimum area of a nys high school soccer field. Then evaluate
givi [52]
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5 0
3 years ago
!!20 points!!
madam [21]

Answer:

y = 1/7x + 22

Step-by-step explanation:

since the line is <u>parallel</u>, the <u>slope should be the same</u>.

so we need to find the y-intercept to put in into slope-intercept form.

what I do, is simply plug in the y and x points into the equation y=mx+b

y=mx+b <em>-formula used</em>

21 = 1/7(-7) + b <em>-plug in</em>

21 = -1 + b <em>-multiply 1/7 and -7</em>

22 = b <em>-simplify to get the y-intercept</em>

since we now know the y-intercept and the slope, we can plug them in to get our answer, which will be y = 1/7x + 22

8 0
4 years ago
Find the area of the composite figure. Show your work. What is the area of the figure?​
mixer [17]

Answer:

46 units²

Step-by-step explanation:

The figure can be decomposed into 2 triangles and a rectangle.

Area of rectangle = L*W

W = 4

L = 8

Area = 32 units²

Area of triangle 1:

Area = ½(b*h)

b = 3

h = 4

Area = ½*3*4

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b = 4

h = 4

Area = ½*4*4

Area = 8 units

✅Area of the figure = 32 + 6 + 8

= 46 units²

4 0
3 years ago
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