if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose

Answers

Answer 1

Answer:

300 ft^2

Step-by-step explanation:

Multiply 30 by 10

Answer 2

The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, I have 80 feet of fencing.

Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.

∴ 2(l + b) = 80.

l + b = 40.

So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.

We know the product of the sum of two numbers is maximum when the difference between them is minimum.

∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.

Area = 21×19 sq feet.

= 399 sq feet.

learn more about rectangles here :

https://brainly.com/question/15019502

#SPJ5


Related Questions

[tex]\sf 45-4x=75-6x[/tex]

Answers

[tex]\sf \longmapsto45 - 4x = 75 - 6x[/tex]

[tex]\sf \longmapsto45 - 75 =- 6x + 4x[/tex]

[tex]\sf \longmapsto -30 =- 2x[/tex]

[tex] \sf \longmapsto \frac{ 30}{2} = x [/tex]

[tex]\sf \longmapsto 15 = x[/tex]

[tex]\sf \longmapsto \: x ≈15[/tex]

=> 45 - 4x = 75 - 6x

=> 45 - 75 = -6x + 4x

=> -30 = -2x

=> x = 30/2

=> x = 15


2.8,

2
1
4
, and

2.45 in order from least to greatest

Answers

Answer: -2.8, -2.45, -2, 1, and 4.

Step-by-step explanation:

Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.

If I saved 100 dollars every week from now until June how much money will I have ?

Answers

Answer:

2800 dollars probably because it's about 28 weeks and 2 days from now to June so if you multiply 100 by 28 the answer is 2800$

Answer:

Now we're the 14th of Nov 2021. The first week of June 2022 is in 28 week from now, so it's 100 dollars x 28 weeks = 2800 dollars

What is product in math.

Answers

Answer:

so when you Mutpliy #*#  = #product

Step-by-step explanation:

EX: 3*4=12

Given trapezoid​ WXYZ, what is​ XY?

Answers

Step-by-step explanation:

X is the mulplied

Y is the pronouns

Find the slope of the line. ​

Answers

Answer:

[tex]m=\frac{-3}{2}[/tex]

Step-by-step explanation:

We can see certain points plotted which are  (-1, 2) (1,-1) and (3, -4)

We use the slope formula to find slope with any two points that were given

[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Are (1,1.5) and (12,4) solutions to the equation y=1/4x+5/4

Answers

Answer:

The first set is a solution, the second is not.

Step-by-step explanation:

Testing by filling in the numbers into the equation:

(1, 1.5): x=1, y=1.5

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]

⇒ 1.5 =? [tex]\frac{6}{4}[/tex]

⇒ 1.5 =? 1.5  ⇒ Correct: is indeed solution to the equation

(12, 4): x=12, y=4

⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{12}{4}[/tex]  + [tex]\frac{5}{4}[/tex]

⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation

Determine the value of d when h=29 in the equation D=4h/5

Answers

Answer:  23.2

Step-by-step explanation:

D = 4h/5

D(29) = 4(29)/5

D(29) = 23.2

The number of data points from the box that fall in the interval of 10-15 is 21 25 25 26 19 24. 25 17 23 25 30 28 25 28 19 21 25 17 21 24 30 17 28 20 21​

Answers

Answer:

I have no clue I'm trying to get my account set up

convert 40 yards to feet

Answers

Answer:

120 feet

.................................

Step-by-step explanation:

1 yard = 3 feet

cuantos segundos tiene una hora

Answers

Answer:

3600

Step-by-step explanation:

Answer:

3600

Step-by-step explanation:

verificando :)

What is the simplest form of 4 sqrt 81 x^8y^5.

Answers

See image for answer.Hope it helps.

I need help fast please

About 8% of canada is covered in fresh water
the area of canada is approximately 9,970,000km
a calculate the area covered in fresh water
b how much of canada is not covered in fresh water
23%of canada is covered in tundra estamaite tundra covered area

thanks ​

Answers

Answer:

797600km, 9172400 km, 2293100 km

Step-by-step explanation:

a. to find the amount of canada covered in fresh water, multiply 9970000 by 0.08 to get 797600km

b. the amount not covered by fresh water is 9970000-797600 which equals 9172400 km

c. multiply area of canada by 0.23 which is 2293100 km

just in case you might want to double check the zeros to make sure i did it right

Answer:

a. 797,600 km²

b. 9,172,400 km²

c. 2,293,100 km²

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number. First, change the percent into a decimal number by moving the decimal point of the percent 2 places to the left. For example, 42% = 0.42; 7% = 0.07

Part a.

8% of 9,970,000 km²

Step 1. Multiply the percent by the number

8% of 9,970,000 km² = 8% × 9,970,000 km²

Step 2. Change the percent into a decimal number by moving the decimal point of the percent 2 places left.

8% of 9,970,000 km² = 8% × 9,970,000 km² = 0.08 × 9,970,000 km²

Step 3. Use a calculator or long division to do the multiplication.

0.08 × 9,970,000 km² = 797,600 km²

Answer: a. area covered in fresh water is 797,600 km²

Part b.

Subtract the area of part a. from the total area of Canada.

9,970,000 km² - 797,600 km² = 9,172,400 km²

Answer: b. area not covered in fresh water is 9,172,400 km²

Part c.

Tundra is 23% of total area.

23% of 9,970,000 km²

Step 1. Multiply the percent by the number

23% of 9,970,000 km² = 23% × 9,970,000 km²

Step 2. Change the percent into a decimal number by moving the decimal point of the percent 2 places left.

23% of 9,970,000 km² = 23% × 9,970,000 km² = 0.23 × 9,970,000 km²

Step 3. Use a calculator or long division to do the multiplication.

0.23 × 9,970,000 km² = 2,293,100 km²

Answer: a. area covered in tundra is 2,293,100 km²

If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?

Answers

£3880 is the answer after two years the amount will be 4000£ because 2000 x 2 =4000 and if it pays compound interest you would have to take 120 out of 4000 because 3% of 2000 is 60 so 60x2=120 4000-120=3880

Ned fills 2/3 of a bucket in 1/5 of a minute. How much time will it take him to fill the bucket?

Answers

Answer:

12 min

Step-by-step explanation:

(x, 7) and (-7, 4); slope: 1

Answers

Answer: x= -4

Step-by-step explanation: slope = (y2-y1)/(x2-x1).

(4-7)/(-7-x)

-3/-7-x=1

Multiply both sides by -7-x

-3=-7-x

Add 7 to both sides

4=-x so x = -4

A chessboard has 8 rows of squares with 8 squares in each row . Two players each put 16 chess pieces on the board , with each piece on its own square. How many squares are empty now? Explain your answer.

Answers

Answer:

40

Step-by-step explanation:

8x8 if 56 - 16 = 40

Please HELP!!!!PLSLSLSLSS​

Answers

Answer: where is the question??

what do you need help with?

What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?

Answers

Answer:

Radius:  √ 61

Step-by-step explanation:

Complete the square for  x^ 2 + 12 x = ( x + 6 ) ^2 − 36

Substitute   ( x + 6 ) 2 − 36  for  x 2 + 12 x  in the equation  x 2 + y 2 + 12 x − 10 y = 0

= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0

Move  − 36  to the right side of the equation by adding  36  to both sides

= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36

Then you know the rest: radius will be √ 61

The center coordinate of the circle is (6,5) with a radius = 7.34

What is the equation of the circle?

The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]

Substituting the values in the equation:

[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]

⇒  -2ax =  -12x

⇒  a = 6.

-2by = -10y

b= 5.

⇒ a² + b² - r² =  -7

⇒  6² + 5² + r² = -7

⇒ 36 + 25 + r² =  -7

⇒ r² = 54

r = 7.34

Center coordinate (6,5) with r = 7.34

Learn more about the equation of the circle here: brainly.com/question/1471134

#SPJ2

Nellie says that 60 × 1,000 is 6,000 because there are three zeros in 1,000. Kara says 60 × 1,000 = 60,000. Whose thinking is correct? Explain.

Answers

kara is correct cause 60x1000 does actually equals 60,000

Answer:

Kara is right

Step-by-step explanation:

60 × 1000= 60000

Josephine was charged $7.20 for a long distance call that lasted 1.5 hours. What was the cost per hour for her long distance call?

Answers

Based on the information given, the cost per hour for her long-distance call will be $4.80.

Amount that was charged for the call = $7.20

Number of hours used = 1.5 hours

The cost per hour for her long-distance call will be:

= Amount that was charged for the call / Number of hours used

= 7.20 / 1.5

= $4.80

In conclusion, the cost is $4.80.

Read related link on:

https://brainly.com/question/24429956

Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home

Answers

Step-by-step explanation:

   4    +       3 = 7

petra   robyn    total

  210     /   7          =30

wage     total

              ratio

30× 4  = $120

     Petra's part

30× 3  =  $90

      Robyn’s part

2. What is the exchange rate? Show your work. 1 US dollar = ___________ euro
help pls :(

Answers

Answer:

.88 Euro

Step-by-step explanation:

One U.S. dollar is equivalent to .88 Euro. Have a nice day!

Some people use this rule to work out
how many hours' sleep each night
young children need.
tract the child's age in years from 30,
ten divide the result by 2
Sanjay is 8 years old.
Use the rule to work out how many
hours' sleep he needs.

Answers

Sanjay needs 11 hours of sleep

Manuel ran his mile in 7.332 minutes. How fast is that to the nearest hundredth? Explain your answer.

Answers

Answer:

7300

Step-by-step explanation:

this is because 3 is in the hundreds column and is rounded down

because the number behind is 3 so it stays the same some it is 7300

Distance=1miTime=7.332minutes=7.332(60s)=439.92s[/tex]

[tex]\\ \sf\longmapsto Speed=\dfrac{1mi}{439.92s[/tex]

[tex]\\ \sf\longmapsto Speed=0.00227mi/s[/tex]

[tex]\\ \sf\longmapsto Speed=0.0023mi/s[/tex]

[tex]\\ \sf\longmapsto Speed=0.002mi/s[/tex]

Find the slope given two points: (-9, -2) and (-5,0)

Answers

Answer:

1/7

Step-by-step explanation:

Consider the line passing through these two points.  The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.

Thus the slope of this line is m = rise/run = 2/14, or m = 1/7

Answer:

[tex]m = \frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope using two given sets of coordinates, the following function can be used:

[tex]m = \frac{y2-y1}{x2 - x1}[/tex]

Where x1,y1 are one set of coordinates and x2,y2 are the other set:

[tex]m = \frac{0 - (-2)}{-5 - (-9)}\\[/tex]

[tex]m = \frac{0 + 2}{-5 + 9}[/tex]

[tex]m = \frac{2}{4}[/tex]

This can be simplified down to:

[tex]m = \frac{1}{2}[/tex]

Hope this helps!

Any one know the answer for this question??????

Answers

Answer:

C) y > 0

Step-by-step explanation:

I graphed it

2. You may submit your answer to question l in essay form here.
(0 points)
If you are unable to submit your answer to question 1 in audio form, you may submit your
answer here.
How do you simplify this expression?
-12 - 3.7-8-(-4)2 - 6) - 2
Prepare your response to this question. When you are ready, you may submit your response as
an audio recording or as a written essay. Be sure to include the following:

Answers

Answer:

I hope this helps

Step-by-step explanation:

HELPP it’s angles of a triangle much appreciated !

Answers

Answer:

The coastline of alaska is longer than the entire coastline of the lower forty-eight states

Tentukan Penyelesaian dari persamaan berikut

Answers

1. 3z + 11 = -28
3z = -39
z = -13

2. 3a - 1 = a + 9
3a - a = 10
2a = 10
a = 5

3. 2 (3p - 4) = 4p + 6
6p - 8 = 4p + 6
6p - 4p = 14
2p = 14
p = 7

4. 1/2x + 4 = 6
1/2x = 2
x = 2 * 2
x = 4

5. 2/3(6x - 9) = 1/4(4x + 12)
4x - 6 = x + 3
4x - x = 9
3x = 9
x = 3
Other Questions
Sin x= cos y show that x+y=90 When the pressure of an equilibrium mixture of SO2, O2, and SO3 is doubled at constant temperature, what the effect on Kp En lazarrillo de tormes quienes eran los escuderos y que aspecto presenta este Quin gan la islapara Espaa en 1493?Como la nombr? How to find answer to: 8% of ? = 20 Which of these passages from Saki's story, "The Open Window," is an example of flashback? A. Sec. 14:"They were all three engulfed in a treacherous piece of bog" is flashback used by the niece. B. Sec. 8: "Then you know practically nothing about my aunt?" is flashback used by Saki. C. Sec. 9: "An undefinable something seemed to suggest masculine habitation" is a flashback Sometimes a story's setting creates the story's conflict. Which of these settings is most likely to create conflict? a beach house a shopping mall a school lunch rooms forest where a wild fire has begun Why did Iberville and Bienville move to Fort Maurepas?? Why is population education importance? explain. in Nepal Please write a college essay on the topic cybersecurity PS: Im not lazy its just that Ive been sick and currently am unable to finish it can someone please help me? In "My Contract with Henry," Beth learns about Henry David Thoreaus life and ideas. Write a narrative from Beths point of view as she tries to explain to her mother what it means to live life according to Thoreaus ideas. In your narrative, include details from Beths life and show how Beth tries to act and think like Thoreau. Be sure to include dialogue between the characters. use details from the narrators life. include an effective beginning, middle, and end. what occurs when someone places an ice pack on an injured ankle? PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER help review my song I wrote it is called FREE TO ME:Feeling fee to some people means run-in away run-in away run-in away but to me it means that nothin is holing you down but if you run away nothing good will come out of that yeah yeah ya ya how can you simplify integer expressions that contain more than one operation?answer quick pls what was the first village established by the pilgrims xxdrddddfffffdxfddsdddqqwedaqwwssde what is the maximum concentration of salt in water for an ecosystem to be classified as a freshwater system? Thirty-six of 80 marbles are blue. What percent of the marbles are blue? What is a theme of the poem "We Wear the Mask" by Paul Laurence Dunbar?To overcome inequality, brave people must take a stand.Putting on a false front deceives others of ones true feelings.Religion helps people overcome difficult circumstances. One should deal with emotions rather than ignore them.