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Licemer1 [7]
3 years ago
6

A beach has to enclose a rectangular area, because some endangered species are nesting there. They have 200 feet of rope to rope

off the area with. What is the maximum area that they can rope off?
Mathematics
1 answer:
GuDViN [60]3 years ago
4 0
The maximum area enclosed is a square, then the area will be :

side^2 = (perimeter/4)^2 = (200 feet/4)^2 =  50^2 feet^2 = 2500 feet^2.

We can prove that this is a square:

Call x one side, then the other side is: (200 -2x) / 2 = 100 - x

And the area , S = x(100-x) = 100x - x^2

Maximum area => S' = 0 = 100 -2x => 2x = 100 => x =100/2 = 50

=> 100 - x = 100 - 50 = 50.

Then, when showed that the two sides are equal to 50 feet, and the shape enclosed is a square with area = 2500 ft^2.

 
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Natali [406]
Let x = the number of green apples, let 4x = the number of red apples
4x + x = 50         Set up the quation
5x = 50               Combine like terms
----   ----               Divide by 5 on both sides to get x alone
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3 0
3 years ago
A circle with a radius of 12 inches has an arc that measures 8 pi inches. Find the measure of the central angle determined by th
ivanzaharov [21]
We know that

[length of a circle]=2*pi*r
r=12 in
[length of a circle]=2*pi*12--------------> 24pi in

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X=8pi*360/24pi-----------> 120°

the answer is 120°

3 0
2 years ago
john scored 15 points his first game. In his last game he scored 20 points. What was his percent of increase?
iVinArrow [24]

\huge\mathrm{ \it{Answer࿐}}

  • Increase = 20 - 15 = 5 points

  • \boxed{ \% \: increase \:  = \frac{5}{15} \times 100  }

  • \% \:  \:increase  =  \frac{100}{3}

  • \% \:  \:increase  = 33.33

_____________________________

\mathrm{ \#TeeNForeveR}

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