Fencing with the length of 840 m surrounds two identical playing fields with a common side. The fields can be side-by-side and separated by a fence, as shown in the figure. Find the dimensions in the maximum area of each field.

Fencing With The Length Of 840 M Surrounds Two Identical Playing Fields With A Common Side. The Fields

Answers

Answer 1

Answer:

x = 140   y = 105                x · y = 14700 m²

Step-by-step explanation:

good question

it looks like 3 sides of length x

and 4 sides of length y

area 1 = area 2

and the length of all the sides sum to 840

  3x + 4y = 840      find the maximum area = 2· x · y

This is a calculus problem that I can't remember how solve

 if x = 0   y = 210

           if   y = 0   x = 280       280 / 2 = 140   the mid-point  the logical answer

if x = 140   y = 105                x · y = 14700 m²         this appears to be the max

if x = 135   y = 108.75            x · y = 14681.25 m²      smaller area

if x = 145   y = 101.25             x · y = 14681.25 m²      smaller area

I need an eqaution with a quadratic and take the first derivative

 y = (840 - 3x) / 4      xy = max area     y = max area/x

(max area) / x = (840 - 3x) / 4      solve for x

    max area  = x(840 - 3x) / 4

    max area  = [840x/4 - 3x²/4] '        

    max area  = 210x  -  3x²/4            take the first derivative  

    max area  = 210  -  6x/4               maximum occurs when slope = 0

           0   =  210 - 3x/2    

        3x/2 = 210

           x  = 210·2/3

           x  = 420 / 3

          x  = 140   y = 105

3(140) + 4(105) =   420 + 420  = 840    checks


Related Questions

which can be used to find the perimeter of the rectangle?

Answers

Answer:

Step-by-step explanation:

2 ( 5 plus 13)

Brainlist?

3. A website allows users to download individual songs or whole albums.
All songs cost the same price to download. All albums cost the same price
to download, Karim pays $30 to download 5 songs and 2 albums.
Kimberlyn pays $26 for download 3 songs and 2 albums. What is the cost
to download 1 song? 1 album?

Answers

Answer:

Each song costs $2 and each album costs $10.

Step-by-step explanation:

Since a website allows users to download individual songs or whole albums, and all songs cost the same price to download and all albums cost the same price to download, and Karim pays $ 30 to download 5 songs and 2 albums while Kimberlyn pays $ 26 for download 3 songs and 2 albums, to determine what is the cost to download 1 song and the cost to download 1 album, the following calculations must be made:

5X + 2Y = 30

3X + 2Y = 26

(30 - 26) / (5 - 3) = X

4/2 = X

2 = X

Therefore, each song has a cost of $ 2.

Thus, to know the cost of each album (knowing that both downloaded the same amount, that is, 2), the following calculation must be performed:

5x2 + 2Y = 30

10 + 2Y = 30

2Y = 30 - 10

2Y = 20

Y = 20/2

Y = 10

Therefore, each album has a cost of $ 10.

PLEASE HELP
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(1, 2)
(-1, -4)

Answers

Answer:

-4-2/-1-1=-6/-2= 3

So the answer is 3

Where is the blue dot on the number line? 0 0 - 5 - 5 5 5 ? ?

Answers

the blue dot is on -15 as each interval is 5

The blue dot is at -15 because the line is counting by fives rather than by ones, twos, threes, etc. So, when you count from the left from 0, it goes by -5, -10, -15 which is where the blue dot is. Hope this helps :)

Identify the correct statement for the given figure.
Question 14 options:

A)

(5x)° + (2x + 7)° = 90°

B)

90° + (2x + 7)° = (5x)°

C)

(5x)° + (2x + 7)° = 180°

D)

(5x)° = (2x + 7)°

Answers

Answer:

A. 5x° + (2x + 7)° = 90°

Step-by-step explanation:

Complementary angles add up to give us 90°.

From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.

Therefore:

5x° + (2x + 7)° = 90°

Dans une classe, le professeur d’EPS choisit au hasard un élève qui sera l’arbitre du
match de football.
La probabilité que ce soit un garçon est de 0,7.
Calculer, en justifiant, la probabilité que ce soit une fille

Answers

Answer:

Step-by-step explanation:

1-0,7 = 0,3

la probabilité que se soit une fille est de 0,3

Answer:

1-0,7 = 0,3

la probabilité que se soit une fille est de 0,3

Translation:

the probability that it is a girl is 0.3

2+2 i need help please help fast fast help

Answers

Answer:

uhhhhhh i think its..... 4

Step-by-step explanation:

Answer:

4, you are welcome.

Please help me on this question

Answers

Answer:

[tex]176.74 cm^{2}[/tex]

Step-by-step explanation:

[tex]radius=7.5 cm[/tex]

[tex]area=\pi (radius)^{2}[/tex]

[tex]3.142*(7.5)^{2}cm^{2}[/tex]

[tex]176.7375cm[/tex]

[tex]=176.74cm^{2}[/tex]

[tex]----------[/tex]

hope it helps...

have a great day!!

176.74 hope that was correct

Given f(x) = 5 - x?, find f(3).

Answers

Answer:

the answer is 2

Step-by-step explanation:

just plug in the 3 for x and perform the neccessary calculation.

Answer:

2

Step-by-step explanation:

if x is 2 that means 2 + 3 = 5

Give me brainllest Plz

4. The volume of a certain room is 2016 cubic ft. If the square footage of the
floor is 144 sq. ft., what will the height of the room be?

Answers

Answer:

The room is 14ft high

Step-by-step explanation:

Given

[tex]Volume = 2016ft^3[/tex]

[tex]Base\ Area = 144ft^2[/tex]

Required

The height of the room

This is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Make Height the subject

[tex]Height = \frac{Volume}{Base\ Area}[/tex]

So, we have:

[tex]Height = \frac{2016ft^3}{144ft^2}[/tex]

[tex]Height = \frac{2016}{144}ft[/tex]

[tex]Height = 14ft[/tex]

I Need help with this

Answers

The answer is B. I hope this helps with your work. For next time just match the frequency with how tall the line is.

Answer:

it would be choice B

Step-by-step explanation:

the frequencies in the chart are 4,5,9,8, and 4 so you look at which graph's bars go up to those numbers

Which equation could be represented by the number line?

A.4+(-7)=-3
B. -5+7=2
C. -3+(-4)=-7
D. 7+(-6)=1

OMG HELPPPP

Answers

The answer is a
Hope this helps

What is the factored form of x^2-x-20​

Answers

Answer:

(x+4)(x-5)

Step-by-step explanation:

x²-x-20

But ax² + bx +c

product = ac = 1 × -20 = -20

sum = b = -1

Factors are: -5,4( numbers if you multiply you get -20 and sum to get -1)

Therefore:

x²-5x+4x-20

x(x-5)+4(x-5)

(x+4)(x-5)

Step-by-step explanation:

x^2-5x+4x-20

x(x-5)+4(x-5)

(x-5)(x+4)

an electrician charges a fee of $50 plus $35 per hour. let y be the cost in dollars of using the electrician for x hours. write an equation to model this situation

Answers

Answer:

y = 50 + 35x we dont know how many hours they worked

Step-by-step explanation:

What is the magnitude of -10 + 24i?

this is for a unit over complex numbers on a p e x​

Answers

Answer:

The magnitude of the number is of 26.

Step-by-step explanation:

Magnitude of a complex number:

A complex number has the following format: a + bi

In which a is the real coefficient and b is the imaginary coefficient.

The magnitude of the number is:

[tex]\sqrt{a^2+b^2}[/tex]

What is the magnitude of -10 + 24i?

For this number, a = -10, b = 24. So

[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]

The magnitude of the number is of 26.

Stock in Macy's costs $25.75 per share. Hector buys 200 shares of Macy's
through his broker who charges a commission of $25.75. How much did George
pay in total to purchase the stock?

Answers

Answer: $5175.75

Step-by-step explanation:

The amount that is paid in total to buy the stock will be gotten through the addition of the cost of the shares and the commission paid. This will be:

= (200 × $25.75) + $25.75

= $5150 + $25.75

= $5175.75

Therefore, the total amount that is paid to buy the stock will be $5175.75.

What is the distance between the points (4,9) and (1,3)?

Answers

the distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.
your teacher might make you right these as negatives because they are being subtracted, not sure though

The distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.

We have given the points (4,9) and (1,3).

What is the distance between two points?

Distance between two points is the length of the line segment that connects the two given points.

Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.

your teacher might make you right these as negatives because they are being subtracted, not sure though.

Therefore, The distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.

To learn more about the distance visit:

https://brainly.com/question/1982296

#SPJ2

A helicopter hovers 1100 The above a small island the figure shows the angle of depression from the helicopter to point P is 46° how far off the coast to the nearest foot is the island?

Answers

Answer:

1232 ft

Step-by-step explanation:

Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.  

The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.

!NO LINKS, NO FILES!

please :)

Answers

Answer: 10.5 km

A = bh

A = 3.5 x 3

A = 10.5

Answer:

I think ur answer would be 10.5 km

Step-by-step explanation:

srry if wrong hope this helps

the sum of 4 and 6 times a number z

Answers

Answer:

(4 + 6) × Z = 10 × Z

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Find the erea of the trapezoid.

Answers

9514 1404 393

Answer:

  32 yd²

Step-by-step explanation:

Use the area formula with the given dimensions.

  A = 1/2(b1 +b2)h . . . . . base lengths b1, b2; height h

  A = 1/2(2 +6)8 = 1/2(8)(8) = 32 . . . . square yards

The area of the trapezoid is 32 square yards.

40 POINTS!!!
Which polynomial contains the powers in descending order?

Answers

Answer:

B.

Step-by-step explanation:

11. The product of 4.8 and 0.4 is 19.2
A) True
B) False


Answers

Answer:

false it's product is 1.92

In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yellow tangs

Answers

Answer:

3/10 of the aquarium are yellow tangs.

Step-by-step explanation:

Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:

2/5 = 0.40

0.40 x 3/4 = X

1.20 / 4 = X

0.30 = X

0.30 = 3/10

Therefore 3/10 of the aquarium are yellow tangs.

Please help me ASAP
Please help
No links please

Answers

Answer:

a is height

b is length

c is width

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.

3-2

Answers

Answer:

the answer would be 1 sorry if I'm wrong

Answer:

the answer is 1/9 trust me its right

Step-by-step explanation:

For a certain brand of tomato seeds, the seed package claims that it takes 87 days after planting for the tomato plants to produce fruit. Sarah, a botanist, wanted to know whether the mean number of days for the plants to produce fruit where she lives is different from 87 days. She planted 40 seeds and recorded the number of days for each plant to produce fruit. With all conditions for inference met, the hypothesis test was conducted at the significance level a = 0.05, and the test resulted in a p-value of 0.0752. ?
Which of the following is a correct conclusion?
A. Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days.
B. Sarah has convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
C. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is greater than 87 days.
D. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
E. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is equal to 87 days.

Answers

Answer:

D. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.

Step-by-step explanation:

The population mean, μ is given as 87

This population value is used to state the Null hypothesis ;

H0 : μ = 87

The alternative hypothesis is the opposite of the Null ; and hence, claims that the mean is different from the population mean, μ ≠ 87

H1: μ ≠ 87

The Decison level :

When Pvalue < α ; We reject the Null otherwise we fail to reject the null

The given p and α value :

P-value = 0.0752

α = 0.05

0.075 > 0.05 ; Hence ;

Pvalue > α ; We fail to reject the Null

We can thus conclude that there is not enough evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.

A quiz consists of five multiple choice questions. Each question has four choices. A student who forgot to study guesses randomly on every question What is the probability that the student answers exactly three questions correctly?​

Answers

Answer:

1/64

Step-by-step explanation:

probability of getting one question correct is 1/4

P(3 questions correct):  1/4 · 1/4 · 1/4

You estimate that a kitten weighs 15 pounds. The actual weight of the kitten is 8 pounds. Find the percent error.

Answers

Answer:

87.5%.

Step-by-step explanation:

This is simple. You thought the kitten weighed 15 pounds but really weighs 8. The first thing you would do is subtract the guess minus the actual.

15 - 8 = 7.

That person was off by 7.

So you would put it as a fraction over the actual weight. 7/8. Then turn your fraction into a decimal and turn that decimal into a percent.

7 divided by 8 = 0.875.

0.875 as a percent is 87.5%.

So the percent error is 87.5%.

What is a number c decreased by 15?
(Only people who are going to answer the question truly are only allowed to comment)

Answers

Answer:

C - 15

Step-by-step explanation:

"Decreased by" means subtraction. We are subtracting 15 from C so the answer is C - 15. Hope this helpssss

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