A farmer has 540 m of fencing to enclose a
rectangular area and divide it into two sections as
shown.
a) Write an equation to express the total area
enclosed as a function of the width.
b) Determine the domain and range of this area
function.
c) Determine the dimensions that give the
maximum area.

A Farmer Has 540 M Of Fencing To Enclose Arectangular Area And Divide It Into Two Sections Asshown.a)

Answers

Answer 1

The dimensions that give the maximum area is 135 m by 135 m for a rectangular area with 540 m of fencing

What is an area?

An area is the amount of space occupied by a two dimensional shape or object.

Let w represent the width and l represent the length, hence:

540 = 2(l + w)

l = w - 270

The area (A) is:

A = length * width

A = w(w - 270) = w² - 270w

The domain of the function is (270, ∞), the range is (0, ∞).

The maximum area is at dA/dw = 0, hence:

2w - 270 = 0

w = 135 m, l = 270 - w = 135 m

The dimensions that give the maximum area is 135 m by 135 m

Find out more on area at: https://brainly.com/question/25292087


Related Questions

If a train travels 420 miles in 24 hours , what is it’s unit rate in travel ?

Answers

Answer:

17.5 miles per every hour

Step-by-step explanation:

All you do is divide 420 by 24 to find the unit

Unit rate = total miles/ total time.

Unit rate = 420/24 = 17.5 miles per hour

Am i right please help asap

Answers

Answer:

yea i think

Step-by-step explanation:

area of a triangle = (hb)/2

19x14 = 266

266/2 = 133

The flashlight you are using to find your phone is a green flashlight which isn't good for finding things in the dark. You decide to go grab your yellow flashlight instead. Which wave property differs in the two flashlights causing this difference in color? Explain.

Answers

Answer:

their wavelength

Explanation:

A wave refers to disturbances or vibrations that travel from one medium or vacuum to another in an organized way, while wavelength refers to the distance between two consecutive peaks of waves.

For example, the wavelength of green light is 550nm (nanometre), while that of yellow light is 580nm (nanometre).  

This difference in the color of the flashlights is visible to the human eyes because the human eye is believed to be able to detect any wavelengths of light from 700 nanometres to about 400 nm for violet light.


Which expression is equivalent to 50En-1(n(4n+3))

Answers

Answer:

equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}

Answer: D

Step-by-step explanation: Im from the future D is correct on edge yw :)

The value of a computer is given by the expression 2000+(-200t) where t is the time in years.

Answers

If it was one year it would be 2200 and you just keep adding 200 for each year.

Given H(t)=10-2t^2 , find h^-1 (t)

Answers

I’m
Not really sure to this question but I think 2+

|x - 2] + 5 = 9

anyone know the answer?

Answers

Answer:

6

Step-by-step explanation:

replace x with 6, so 6-2+5=9

Which function has an inverse that is also a function?
G(x)=2x-3

Answers

Answer:

x/2+3/2

Step-by-step explanation:

find 1+1+1in binary number system of computer ​

Answers

Answer:

1

+1

+1

soln

here

1+1+1

=10+1

=11

Answer:

[tex]{\huge{\pink{\underline{\underline{SoLuTiOn}}}}}[/tex]

1+1=10

10+1=11

11 is answer.

ASAP for BRAINLIEST :fill in the blank if 19/24=3/x, then x is

Answers

Answer:

x= 72/19

Step-by-step explanation:

et's solve your equation step-by-step.

19

24

=

3

x

Step 1: Cross-multiply.

19

24

=

3

x

19*x=(3)*(24)

19x=72

Step 2: Divide both sides by 19.

Solve this application problem using a system of equations: 40,000 people attended a ballgame at a stadium that offers two kinds of seats: general admission and reserved. The day's receipts were $425,000. How many people paid $15.00 for reserved seats, and how manypaid $8.00 for general admission?

Answers

Answer: 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

Step-by-step explanation:

Let x = Number of reserved seats

y= Number of general admission

According o the question:

x + y = 40000           (i)

15x + 8 y = 425000           (ii)

Multiply 8 to equation (i), we get

8x + 8 y = 320000          (iii)

Subtract (iii) from (ii), we get

15x - 8x + 8y - 8y = 425000-320000

⇒ 7x = 105000

⇒ x = 15000  [Divide both sides by 7]

Put this in (i) , we get

15000+y= 40000

⇒ y = 40000-15000

⇒ y= 25000

Hence, 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

 

I need help with this

Answers

Answer:

No

Step-by-step explanation:

-10 is not greater than 9. A number that is more positive is more greater.

Answer:

No

Step-by-step explanation:

-10 < 9 according to the number line

910÷(−65) i don't understand

Answers

Answer:

-14

Step-by-step explanation:

Of course, 910 divided by 65 is 14, but since 65 was negative, the answer must be negative. If both numbers were negative, then it would be positive, but in this case, it would be negative as 65 was negative.

A car can travel 156 kilometers on 13 liters of gasoline. How much gasoline will it need to go 480 kilometers?

Answers

Answer:

40

Step-by-step explanation:

To find how much gasoline is needed for 480 kilometers, we will need to find how much is needed per kilometers:

13 liters is used for 156 kilometers

156/13 = 12 so 1 liter gasoline is spent per 12 kilometers

So for 480 kilometers we would need 40 liter gasoline because

480/12 = 40

brainliest for correct answer

Answers

The answer is A because it says dilated by a scale factor of 2

pls help) The vertices of a triangle are as follows: (2, 3), (4, -4), and (2, -2) If you dilate the triangle by a scale factor of 2, what are the vertices of the new triangle?
(4, 5), (6, -2), (4, 0)
(4, 6), (8, -8), (4, -4)
(4, 9), (16, 16), (4, 4)
(1, 1.5), (2, -2), (12, -12)

Answers

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Answer:

(4, 6), (8, -8), (4, -4)

Step-by-step explanation:

Hope this helps

hello brainly team I need help ​

Answers

Answer:

98 feet

Step-by-step explanation:

84^2+50^2 7056+25009556

✓9556 = 97.754approximately 98

Thx
Question #4 Answer:

x=22 (I know this isn't an option however, I've reviewed this problem multiple times, but only find x=22 to be correct. You can look at my explanation below to see what I see.

Explanation:

[tex]according\ to\ the\ title\\ the\ diagonals\ of\ an\ isosceles\\ trapezoid\ are\ represented\\ b_y(6x-29)\ and\ (4x+15)\\ so\ 6x-29=4x+15\\ so\ 2x=44\\ so\ x=22[/tex]

Question #5 Answer:

Answer: B) 98 feet

Explanation:

[tex]solution:\ From\ question\\ 84\ feet\ long\ and\ 50\ feet\ wide\\ so\ he\ will\ run\ \sqrt{{84}^2+{50}^2}\approx98\ feet[/tex]

I hope this helps you

:)

Determine the quadrant in which the terminal side of the given angle lies. 230°

Answers

Answer:

The quadrant for angle 230 is quadrant 3

Step-by-step explanation:

quadrant 3

Enter the values in order from least to greatest. |−2|, |3|, |−9|, |1|

Answers

Answer:

(-9), (-2), 1, 3

Step-by-step explanation:

Answer:

|1|, |-2|, |3|, |-9|

Step-by-step explanation:

Find the absolute values

Order from least to greatest

loading Shmoop
2.

Will measures the mass of several objects using a balance that is able to measure objects to the nearest ten-thousandth of a gram. His measurements are shown in the table below.



What is the BEST approximation of the mean mass, in grams, of the objects?

F
4.69

G
4.687

H
4.6872

J
4.68718

K
4.687175

Answers

H I hope that’s helps

Answer:

hi can you help me with shmoop i need help

Helpppp pls this involves compound interest

Answers

Answer:

[tex]f(x)=9500(1.0625)^x[/tex]

Step-by-step explanation:

Formula for compound interest / exponential functions:

[tex]f(x)=a(b)^x[/tex]

a represents the initial value, b represents the multiplier, and x is the duration / inputs.

In this case, 9,500 is the amount invested, so that's the initial value. The factor here is 6.25% which turned into a decimal is 0.625, but we have to add 1 to that since we have to include the original 100% from when we invested the $9,500. Lastly, x is the number of years, so that remains the same as the formula.

#LearnWithBrainly

Which of the following is an integer?
1
3
8.666...
-5
10

Answers

Answer:

8.666...

Step-by-step explanation:

It goes on forever and dosent end so its an integer

How would the following triangle be classified

Answers

Answer:

C i think... sorry if im wrong

Step-by-step explanation:

y : ([tex]\frac{3}{18\\}[/tex]+[tex]\frac{3}{36}[/tex]+[tex]\frac{3}{60}[/tex]+...+[tex]\frac{3}{29700}[/tex]) = [tex]\frac{1}{14}[/tex]+[tex]\frac{1}{35}[/tex]+[tex]\frac{1}{65}[/tex]+...+[tex]\frac{1}{350}[/tex]

Answers

Answer:

whats the given?? what you need I don't understand

Answer:

x = 5 Or x = \frac{5}{2}

2

5

Explanation:

Given \frac{x-1}{x-2}+\frac{x-3}{x-4}=\frac{10}{3}

x−2

x−1

+

x−4

x−3

=

3

10

\implies \frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)}=\frac{10}{3}⟹

(x−2)(x−4)

(x−1)(x−4)+(x−3)(x−2)

=

3

10

\implies \frac{x^{2}-4x-x+4+x^{2}-2x-3x+6}{x^{2}-4x-2x+8}=\frac{10}{3}⟹

x

2

−4x−2x+8

x

2

−4x−x+4+x

2

−2x−3x+6

=

3

10

\implies \frac{2x^{2}-10x+10}{x^{2}-6x+8}=\frac{10}{3}⟹

x

2

−6x+8

2x

2

−10x+10

=

3

10

\implies 3(2x^{2}-10x+10)=10(x^{2}-6x+8)⟹3(2x

2

−10x+10)=10(x

2

−6x+8)

\implies 6x^{2}-30x+30=10x^{2}-60x+80⟹6x

2

−30x+30=10x

2

−60x+80

\implies 0= 10x^{2}-60x+80-6x^{2}+30x-30⟹0=10x

2

−60x+80−6x

2

+30x−30

\implies 4x^{2}-30x+50=0⟹4x

2

−30x+50=0

Divide each term by 2 ,we get

\implies 2x^{2}-15x+25=0⟹2x

2

−15x+25=0

Splitting the middle term,we get

\implies 2x^{2}-10x-5x+25=0⟹2x

2

−10x−5x+25=0

\implies 2x(x-5)-5(x-5)=0⟹2x(x−5)−5(x−5)=0

\implies (x-5)(2x-5)=0⟹(x−5)(2x−5)=0

\implies x-5 = 0 \: Or \: 2x-5 = 0⟹x−5=0Or2x−5=0

\implies x = 5 \: Or \: x=\frac{5}{2}⟹x=5Orx=

2

5

Therefore,

x = 5 Or x = \frac{5}{2}

2

5

••••

What is the range of the following graph

Answers

The range is the possible output values ( the y values).

The graphed line has arrows pointing up which means the range continues infinitely but the line crosses at y = -6.

This makes the range from -6 to infinity

[-6, infinity)

What is the value of y?

A.
16

B.
48

C.
64

D.
13

Answers

Answer:

48°

Step-by-step explanation:

Because the y° angle plus the 3x° angle should equal 90°.

subtract 48° from 90° and you will get 42°.

the 3x° angle looks like it would be acute so it'd have to be 45° or under.

there's also another way to solve this problem, but I don't remember how

help.

Solve 4/y = 2/11.

The solution is y=__ ?

Answers

Answer:

See below.

Step-by-step explanation:

4/2=2

2*11=22

y=22

-hope it helps

Answer:

22

Step-by-step explanation:

4/22 is equivalent to 2/11 because 2/11 is 5 and a half times 2. So the second one has to be 5 and a half times 4. So the answer is 4/22.

The density of gold is 19.3 g/cm?
A gold bar has volume 150 cm
Work out the mass of the gold bar.

Answers

Answer:

2895 grams

Step-by-step explanation:

Use the density formula, d = m/v, where m is the mass and v is the volume.

Plug in the density and volume into the formula, and solve for m:

d = m/v

19.3 = m/150

Multiply each side by 150:

2895 = m

So, the mass is 2895 grams

Your helping create a circular flower garden at a senior center you have flowers needed to line the circumference of 78.5 feet you want to plant flowers across the diameter use the circumference formula

Answers

Answer:

Step-by-step explanation:

ight so u have to find the circumfrance but first u have to get the fromla for circumfrance after u have that you have to get the formula for diamtre and add them up and u will have your answer

Given the equation: = 4, which property should be applied first?

Answers

This is = 4 therefore no property is applied
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