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SIZIF [17.4K]
3 years ago
9

Alex has 520 yards of fencing to enclose a rectangular area.

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
6 0
<span>Perimeter =2w+2L= 520.
We can solve this by understanding that the area is maximized by a square
Therefore L=w.

p=2w+2w=520=4w
w=130

Area
 
A=wL=130(130)= 16900 square yards</span>
Kobotan [32]3 years ago
6 0

The first thing we are going to do for this case is define variables.

We have then:

w: width

l: length

The perimeter is given by:

2w + 2l = 520

The area is given by:

A = w * l

The area as a function of a variable is:

A (w) = w * (260-w)

Rewriting we have:

A (w) = -w ^ 2 + 260w

To obtain the maximum area, we derive:

A '(w) = -2w + 260

We equal zero and clear the value of w:

-2w + 260 = 0\\2w = 260

w = \frac{260}{2}\\w = 130

Then, the length is given by:

l = 260 - w\\l = 260 - 130\\l = 130

Finally, the maximum area obtained is:

A = w * l\\A = 130 * 130\\A = 16900

Answer:

A retangle that maximizes the enclosed area has a length of 130 yards and a width of 130 yards.

The maxium area is 16900 square yards

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Answer:

364.

Step-by-step explanation:

14C3 = 14! / 11! 3! which simplifies to:

14*13*12 /3*2*1

= 14*13* 2

= 364.

6 0
3 years ago
If nelson invests $5000 for 4 years and earns $600, what is the simple interest rate?
klio [65]

Answer: Simple interest rate = 3%.


Step-by-step explanation: We are given invested amount = $5000.

Number of years of investment = 4 years.

Interest earned = $600.

Simple interest formula.

I = P R T.

Where I is the earned interest, P is the invested amount , R is the rate of interest and T is the time in years.

Plugging values in formula, we get

600 = 5000 × R × 4

600 = 20000R.

Dividing both sides by 20000, we get

\frac{600}{20000}  = \frac{20000R}{20000} .

0.03 = R.

Multiplying by 100 to convert it in percentage, we get

0.03 × 100 = R

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4 0
3 years ago
A 3 foot tall globe standing next to a woman cast an 8 ft shadow. if the woman cats a shadow that is 16ft long , then how tall i
My name is Ann [436]

The woman is 6 foot tall

<h3>What is proportion?</h3>

Proportion can be defined as the mathematical comparison of two numbers.

These numbers could be numbers, elements, set or people

From the information given, we have that;

  • The globe is 3 feet and casts a shadow of 8ft
  • The woman cast a shadow of 16ft and is x feet tall

So,

if the globe is 3 foot tall and casts a shadow of 8ft

Then the woman is x foot tall to cast a shadow of 16ft

cross multiply

8x = 24

Make 'x' the subject

x = 48/ 8

x = 6 foot

Thus, the woman is 6 foot tall

Learn more about proportion here:

brainly.com/question/1781657

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What is 1/6 as a fraction
harkovskaia [24]
1/6 is already a fraction you can't reduce it anymore
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3 years ago
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Which formula is correct ?
larisa86 [58]

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The first answer choice

Step-by-step explanation:

Formula for volume of a rectangular pyramid is V=lwh/3

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