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True [87]
3 years ago
13

Help me please *only answer*

Mathematics
1 answer:
Digiron [165]3 years ago
5 0

Answer:

47 squre feet??

sorry if I'm wrong

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A campground owner plans to enclose a rectangular field adjacent to a river. the owner wants the field to contain 180,000 square
lesantik [10]
Calling x and y the two sizes of the rectangular field, the problem consists in finding the minimum values of x and y that give an area of A=180000 m^2. 
The area is the product between the two sizes:
A=xy (1)
While the perimeter is twice the sum of the two sizes:
p=2(x+y) (2)

From (1) we can write
y= \frac{A}{x}
and we can substitute it into (2):
p=2(x+ \frac{A}{x})=2x+2 \frac{A}{x}

To find the minimum value of the perimeter, we have to calculate its derivative and put it equal to zero:
p'(x)=0
The derivative of the perimeter is
p'(x) = 2 -2 \frac{A}{x^2}= \frac{2x^2-2A}{x^2}
If we require p'(x)=0, we find
x^2=A
x= \sqrt{A}  =  \sqrt{180000 m^2}=424.26 m
And the other side is
y= \frac{A}{x}= \frac{180000 m^2}{424.26 m}  =424.26 m

This means that the dimensions that require the minimum amoutn of fencing are (424.26 m, 424.26 m), so it corresponds to a square field.

6 0
4 years ago
What is the radius of a cicle?
Nataly [62]
The radius of a circle is half the diameter. 
(The formula for the radius in terms of the circumference is r = C/2\pi)

Hope this helps ;)
8 0
3 years ago
Brainliest + 60 points
Elenna [48]
It’s the last option

3 0
3 years ago
The figures are similar. Find x.<br> Brainiest to the correct person!
ad-work [718]
Its 10 if its scaled down.

9-4 is 5 so it went down 5
15-5 is 10.
4 0
3 years ago
Read 2 more answers
Mike installed the window shown. How many square feet is the window? Use 3.14 for pi. Round to the nearest tenth.
Natali [406]

Answer: 3.9ft²

Step-by-step explanation:

Find the area of the rectangle first:

= Length * Width

= 2 * 1.5

= 3 ft²

Find the area of the semi-circle by finding the area of a circle and dividing it by 2:

= πr²

= 3.14 * 1.5/2 * 1.5/2

= 1.76625‬ft²

Divide by 2:

= 1.76625‬/ 2

= 0.88 ft²

Add the area of the rectangle to the semi-circle:

= 3 + 0.88

= 3.9ft²

3 0
3 years ago
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