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The area of a shape is the amount of space it occupies.

The dimensions to build the largest possible athletic complex is 100 by 50 feet

Assume the length of the fence is y.

So, we have:

[tex]\mathbf{Area = xy}[/tex]

[tex]\mathbf{Perimeter = 2y + 4x}[/tex]

Substitute 400 for perimeter

[tex]\mathbf{2y + 4x = 400}[/tex]

Divide through by 2

[tex]\mathbf{y + 2x = 200}[/tex]

Make y the subject

[tex]\mathbf{y = 200 -2x}[/tex]

Substitute [tex]\mathbf{y = 200 -2x}[/tex] in [tex]\mathbf{Area = xy}[/tex]

[tex]\mathbf{Area =x(200 - 2x)}[/tex]

[tex]\mathbf{Area =200x - 2x^2}[/tex]

Differentiate

[tex]\mathbf{A' =200 - 4x}[/tex]

Set to 0

[tex]\mathbf{200 - 4x = 0}[/tex]

Collect like terms

[tex]\mathbf{4x = 200}[/tex]

Divide both sides by 4

[tex]\mathbf{x = 50}[/tex]

Recall that: [tex]\mathbf{y = 200 -2x}[/tex]

So, we have:

[tex]\mathbf{y = 200 - 2 \times 50}[/tex]

[tex]\mathbf{y = 200 - 100}[/tex]

[tex]\mathbf{y = 100}[/tex]

Hence, the dimensions to build the largest possible athletic complex is 100 by 50 feet

Read more about areas and perimeters at:

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Answer:

  D.  3.844 × 10^8 kilometers

Step-by-step explanation:

To write the number in scientific notation, put a decimal point after the most significant digits and write the rest of the significant digits after that. Multiply the number by the power of 10 that tells how many digits are between the most significant digit and the decimal point.

Here, the number has 8 digits between the most-significant digit (3) and the decimal point. Any trailing zeros are assumed to be not significant when the number is written without a decimal point. So, the number is written ...

  3.844 × 10^8 km

Answer:

yes Bro it is correct ar u writing an exam

Answer:

The scale factor is 1.5! I hope this helps!

Answer: 1.5

Each measurement:

12/8 = 1.5

9/6 = 1.5

15/10 = 1.5

Answer:

The answer is 10 12/85    Hope you pass!

Answer:

0.521

Step-by-step explanation:

It's just like subtracting

Answer:

Eh, you're not getting any help since you lied about "giving brainliest".

Step-by-step explanation:

Answer:

5/8,  20/32

Step-by-step explanation:

Divide 10/16 by 2 as that is the GCF (greatest common factor) = 5/8

To find an equivalent fraction with a denominator of 32 multiply 10/16 by 2 = 20/32

Answer:

5/8; 20/32

Step-by-step explanation:

10/16 = (5 · 2)/(8 · 2) = 5/8 lowest term

 equivalent fraction  5/8 = ?/32  means 32÷ 8 = 4 × 5 =20

5/8 = 20/32

If using 10/16 = ?/32     means 32 ÷ 16 = 2 × 10 = 20

Again 10/16 = 20/32

Answer:

Step-by-step explanation:

0 is the correct answer;

2*0=0, and 0+3=3.

However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.

It has to be > not =

2

Step-by-step explanation:

because if you subtitute 2 for x you would get

2(2) +3>5

4+3=7

7>5

which makes the inequality true

Answer:

[tex]h = \frac{V}{\pi r^{2}}[/tex]

h = 4 cm

Step-by-step explanation:

Given the formula for the volume (V) of a cylinder: V = πr ²h, and the following values for volume and radius:

V = 36π cm³

r = 3 cm

First, solve for h:

V = πr ²h

Divide both sides by πr ²:

[tex]\frac{V}{\pi r^{2} } = \frac{\pi r^{2}h}{\pi r^{2} }[/tex]

[tex]h = \frac{V}{\pi r^{2}}[/tex]

Next, solve for the height of the cylinder by substituting the given values for volume and radius into the formula:

[tex]h = \frac{V}{\pi r^{2}}[/tex]

[tex]h = \frac{36\pi }{\pi (3^{2})}[/tex] → π cancels out.

[tex]h = \frac{36}{9}[/tex]

h = 4 cm

Answer:

O (3, 2)

Step-by-step explanation:

use the vectors method

(2+4)/2. (-6+10)/2

(3, 2)

Answer:

More than 180. It needs more info to have an actual answer.

Answer: I believe it would be 180 considering he has 180 pages in a book and you wanna know how many pages he has it would be 180 hoped this helped love ✨

Step-by-step explanation:

Answer:

Step-by-step explanation:

24 hr in a day

so

540 : 24 = 22.5 or 22 1/2

Answer:

1.26

Step-by-step explanation:

geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26

Answer:

hwiwj8eie9eiejnebwnw

The value of x when h = 4 is 4.

The given equation is  :   4(x − 3) = h.  We need to find the value of x in terms of h and the value of x when h = 4.So, we will solve this equation by following the steps given below:

Step 1: Distribute 4 by x and 4 by -3. It gives us:4x - 12 = h

Step 2: Add 12 to both sides of the equation. We get:4x - 12 + 12 = h + 124x = h + 12

Step 3: Divide both sides of the equation by 4. We get:x = (h + 12) / 4

Therefore, the value of x in terms of h is x = (h + 12) / 4.

Now, we need to find the value of x when h = 4. We will put h = 4 in the above equation and get the value of x.x = (4 + 12) / 4 = 16 / 4 = 4.

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#SPJ8

Answer:

N = Natural numbers

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

I only have the answer for 1, but !

1. The area of a parallelogram is  base times height. Since the area of that rectangle is twice the area of the circle, then the area of the circle is half the base times the height. It will be half of 2πr· r. The area of the circle will be πr2

Answer:

40°

Step-by-step explanation:

56+84=140

180-140=40°

Answer:   V = πr 2 h

Step-by-step explanation:

To calculate the volume of a cylinder, you must know its height and the radius of the circular base (the distance from the center of the circle to its edge) at the top and bottom. The formula is V = πr 2 h, where V is the Volume, r is the radius of the circular base, h is the height, and π is the constant pi.

Step-by-step explanation:

I don't know what the specific options are to be selected, but I can tell you what the situation is, and you can then pick the fitting options on your screen :

it is not a function, because 5 in set A (the domain) leads to 2 associated (functional result) values in B (the range).

but in order to be a function, every input value must have exactly one resulting output value. which is violated here.

Answer:

3.b because 60,27,93

Step-by-step explanation:

can you brainliest me

Answer:

3.b

2.155/⅘

Step-by-step explanation:

hope it's helpful

Answer:

y=2

Step-by-step explanation:

y+7=9(y-1)

y+7=9y-9

y-9y=-9-7

-8y=-16

y=2

_________

[tex] \: [/tex]

[tex] \frac{1}{3} (y + 7) = 3(y - 1)[/tex]

[tex] \frac{y + 7}3 = 3(y - 1) [/tex]

[tex]y + 7 = 9(y - 1)[/tex]

[tex]y + 7 = 9y - 9[/tex]

[tex]y - 9y = - 9 - 7[/tex]

[tex] - 8y = - 16[/tex]

y = 2✔

By doing cross multiply, you'll get

6(p-1) = 8(p+10)

Expand

6p-6 = 8p+80

Arrange

-80-6 = 8p-6p

-86 = 2p

Divide by 2 to find p

-43 = p

Answer:

p =

Step-by-step explanation:

First, we can start by cross multiplying.

p−1p+10=86

(p−1)*(6)=8*(p+10)

6p−6=8p+80

After some simplification, we get:

−2p=86

Then we find out that p = -43

If we put it in, and then simplify that, we will get 8/6

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