(7 pts) A school has 400 feet of fencing to build a set of 3 athletic fields as shown below. What dimensions
should they use to build the largest possible athletic complex? Include appropriate units with your answer.
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(7 Pts) A School Has 400 Feet Of Fencing To Build A Set Of 3 Athletic Fields As Shown Below. What Dimensionsshould

Answers

Answer 1

Answer:

Step-by-step explanation:

the side lengths are (400 - 4x)/2 = 200 - 2x

A = x(200 - 2x)

A = 200x - 2x²

Maximum area will occur when the derivative is set to zero.

dA/dx = 200 - 4x

0 = 200 - 4x

x = 200/4 = 50 ft

each field will be 50 x 33⅓ ft.

total area will be 5000 ft²

Which is not very big for a sports complex. I've owned houses with more floor space than that.


Related Questions

is it weird to be listening to Christmas songs right now

Answers

Answer:

Yes and No

Step-by-step explanation:

Yes, it is weird because Halloween comes first.

No, it's not weird because it is your choice.

bye.

No because people are different.

52 teratons
tons
Equals
How many tons

Answers

It equals 52000000000000

what is 5/8x+4=3/8x+12

Answers

Answer: It equals 32!

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

Let ​f(x)=7x−4​, ​g(x)=x2+4​, and ​h(x)= x+4 7.
Evaluate the expression ​(f◦g◦​h)(3​).

Answers

Step-by-step explanation:

(x/z)=3 (7/5)= x'2

tis is the right answer

plz mark me branlists

In the diagram, mcd=128º and mpA=76º. What is McABC?

Answers

Answer:

D. 102°

Step-by-step explanation:

m∠ABC = m∠ABD + m∠CBD =    Angle addition postulate1/2mCD + 1/2mAD =     Angle measure is the half the intercepted arc1/2(128) + 1/2(76°) = 102°

. for fraction having same numerator, the fraction with the __________ denominator is the greater number ​

Answers

The fraction with the smaller denominator is the greater number.

Answer:

883773737383838837373737

Simplify 6days to 4weeks to it lowest term in ratio

Answers

4 weeks = 28 days,
ratio = 6:28,

simplified ratio = 3:14

I will give brainliest.
4 (2x - 3) -6 (3x + 4)

Answers

Answer:

-2x .(5x+18)

Step-by-step explanation:

A full tin of paint has a mass of 22 kg.When the same tin is 3/4 filled with paint,it has a mass of 17 kg.What is the mass of the empty tin

Answers

Answer: 2 kg

Step-by-step explanation:

3/4(22-x)=17-x

66/4-3/4x=34/2-x

33/2-3/4x=34/2-x

1/4x=1/2

x=2

Answer:

that's 2kg because 22*.75 is 17 the difference is -5 each time. 17- another 5 is 12 or 2/4 the original amount. you keep going and at the end you are left with 2kg


real answers only pls help

Answers

Answer:

the 4th

Step-by-step explanation:

how do you check 2(3x - 3) + 2 = 26

Answers

the answer is x= 5. to check the problem you want to substitute x for 5.

someone plz help plz

Answers

Answer: -1/7

I hope this helps I would appreciate brainliest if possible :)

Solve: 3,204 ÷ 119
Show the remainder as a fraction.

Answers

3204:119=

=26,92

=27/10

Subtracting Unlike denominators 1/3 - 1/6

Answers

Answer:

1/6

Step-by-step explanation:

1/3 - 1/6

1×2/3×2 - 1×1 / 6×1 ( LCM of 3 and 6 )

2/6 - 1/6

2-1/6

1/6 answer

Express 15 3/5 as a fraction in simplest form

Answers

Answer: 78/5

Step-by-step explanation:

To simplify this fraction, we should get rid of 15 in order to only have a numerator and a denominator. We would first multiply 15 with 5.

15 * 5 = 75

Then we would add 75 to 3.

75 + 3 = 78

We now have our numerator for our simplified fraction.

78/5

The answer is 78/5..

The sum of three numbers is 28,542.two of the numbers are 10,350, and 9,750. Find the third number.

Answers

◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦

                             [tex]HELLO! :)[/tex]

28,542-10,350-9,750=8,442So the third number  is 8,442Hope this helps! :)[tex]GraceRosalia[/tex]

Simplify the expression.
2+2 4+3
O 6
o 7
o 21
067

Yall help this is worth 30 points

Answers

30 POINTS? HOLD ONNN

z ÷ 12 = 10 please help im giving 60 points for the awnser i realy need this

Answers

Answer:

120

Step-by-step explanation:

10x12=120 z=120

Answer:

120

Step-by-step explanation:

12 times 10 is 120

good luck!

You have just purchased a car and, to fund the purchase, you borrowed $32,000. If your monthly payments are $615.13 for the next 5 years, what is the APR of the loan?

Answers

9514 1404 393

Answer:

  5.76%

Step-by-step explanation:

There is no formula for APR. It must be found using an iterative calculation, as from a spreadsheet or financial calculator.

__

The value can also be found graphically from the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal amount of the loan, r is the annual rate, and t is the number of years.

This can be put into a form that can be solved easily by a graphing calculator. We want it to find the x-intercept of f(x) = 0, so we define ...

  f(x) = A(P, x/100, t) -615.13

where A(P, r, t) is defined above, and we let r = x/100 so x is the APR. The graph shows us the APR is 5.763%.

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

(4,7),(5,-1),(6,-10)

Step-by-step explanation:

mark me brainliest

Use the properties of equality to complete each proof.
Given: 6x-2y =14; Prove: y = 3x - 7

Answers

Answer:

below

Step-by-step explanation:

[tex]6x-2y=14[/tex]

[tex]-2y=14-6x[/tex]

[tex]y=-7+3x[/tex]

but has in slope-intercept form, y = 3x - 7

both lines are equal

please please help me​

Answers

Answer:

a) Angle(A+B+C) = 180°

3x - 2° + x - 2° + 2x + 4° = 180°

6x = 180°

x = 30°

<A = 3(30°) - 2° = 88°

<B = 30° - 2° = 28°

<C = 2(30°) + 4° = 64°

b) at point Q

3y + 6y = 180°

y = 20°

<Q = 3(20°) = 60°

<S = 20°

x = 180° - (<S + <Q)

x = 180° - (80°)

x = 100°

<R = 100°

on a number line, where would 4/10 be located? choose all answers that make a true statement.

Answers

Answer:

A and B only

Step-by-step explanation:

Number lines have smaller numbers on the left and larger numbers on the right. To determine the position of 4/10 on the number line, we just need to compare the value to the values in the answer choices.

a. 4/10 is equivalent to 2/5 (2/5 is just a simplified version of 4/10). If you multiple both the numerator and denominator of 2/5 by 2, you will get 4/10. If you do 4 divided by 10 and 2 divided by 5, you'll also see that they are both equivalent to 0.4. Hence, they have the same value and will be in the same place.

b. 3/10 is smaller than 4/10. In a case where the denominators of two fractions are the same, a smaller numerator would mean a smaller value. In addition, 3/10 is equivalent to 0.3 and 4/10 is equivalent to 4/10 so 0.3 is less than 0.4. That means 4/10 will be on the right of 0.3 because it's a larger number.

c. Using the same logic as part b, 2 is less than 4. That means 2/10 is less than 4/10, so 4/10 would be on the right of 2/10, not the left.

d. Same logic as parts b and c. 7 is greater than 4, so 4/10 should be on the left of 7/10 not right.

y=-4x^2-8x-5 find the axis of symmetry and the vertex for the parabola

Answers

Answer:

x= -1 a x i s of s ym m et ry

(-1, -1) v e r t e x

Step-by-step explanation:

M a t h w a y step by step

Here is the answer !!!!

The person above me is wrong!

5. Aisha is older than Favour Zainab is older than Aisha Favour is older than Jessica Aisha is younger than Michael Who is the youngest?

Answers

Answer:

Denote by A, F, Z, J, and M

A > F        A is out

Z > A      so Z is out

M > A      so M is out

F > J       so F is out

That leaves only J, Jessica

Also from above one can write:

(M, Z)  > A > F

that only leaves J

1. In the adjoining figure, p||q .Find the unknown angles.

Answers

Answer:

Step-by-step explanation:

d  = 125   {corresponding angles are equal}

e + 125 = 180   {linear pair}

e = 180 - 125

e = 55

f = e   {Vertically opposite angles}

f = 55

c = f   {corresponding angles are equal}

c = 55

a = c  {Vertically opposite angles}

a = 55

b =d   {Vertically opposite angles}

b =  125

Answer:

a = 55°

b = 125°

c = 55°

d = 125°

e = 55°

f = 55°

Step-by-step explanation:

125 + e = 180

e = 180 - 125

e= 55°

e = f = 55°

f = a (being alternate angles)

a = c( being vertically opposite angles)

d = 125°(being corresponding angles)

d = b (being vertically opposite angles)

Analyze the diagram below and complete the instructions that follow. find sin angle C

Answers

the answer is A ;

sin = opposite/ hypotenuse

= 24/ 26 ( we need to simplify it)

= 12/13

Answer:

A or 12/13

Step-by-step explanation:

On the following unit circle, θ θtheta is in radians and tan ⁡ ( θ ) = − 0.99 0.1 = − 9.9 tan(θ)= 0.1 −0.99 ​ =−9.9tangent, left parenthesis, theta, right parenthesis, equals, start fraction, minus, 0, point, 99, divided by, 0, point, 1, end fraction, equals, minus, 9, point, 9. y y x x 1 1 − 1 −1 1 1 − 1 −1 θ θ ( 0.1 , − 0.99 ) (0.1,−0.99) A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.1, negative 0.99 and is in the fourth quadrant. Without a calculator, evaluate the following expressions to the nearest

Answers

Answer: tan(pi+theta)=-9.9

Tan(2pi+theta)=-9.9

Step-by-step explanation:

By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.

How to calculate trigonometric functions from unit circle

A unit circle is a circle with a radius of a unit used to calculate the value of trigonometric functions associated to a right triangle. In this case, the tangent function for a point (x, y) is:

tan θ = y/x     (1)

The trigonometric expression for the tangent of the sum of two angles:

[tex]\tan (\alpha + \theta) = \frac{\tan \alpha + \tan \theta}{1 - \tan \alpha \cdot \tan \theta}[/tex]     (2)

Now we proceed to calculate the trigonometric expressions:

[tex]\tan (\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]

[tex]\tan (\pi + \theta) = -9.9[/tex]

[tex]\tan (2\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]

[tex]\tan (2\pi + \theta) = -9.9[/tex]

By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.

To learn more on trigonometric expressions: https://brainly.com/question/6904750

#SPJ2

MATH WEEK 5 HOMEWORK

Answers

Answer:

y=3/5x-1 or y=0.6x-1

Step-by-step explanation:

Answer:

y=3/5x-1 or y=0.6x-1

Step-by-step explanation:

What is 240.50 x 19.54? Give your answer to 2 significant
Show your work

Answers

Answer:

4700

Step-by-step explanation:

240.50 x 19.54

= 4699.37

2 significant = 4700

Answer:

4,699.37

Step-by-step explanation:

240.50 x 19.54 = 4,699.37

Other Questions
What is greater 4 7/10 or 4.75 CREATING YOUR HERO Use your imagination to create an original hero. On a separate sheet of paper, sketch your image of a hero. Label unique characteristics and give him or her a meaningful name. In the right column, use the prompting questions to brainstorm ideas for a story.The hero: The Story ExpositionUse these questions to spark ideas. Is the hero male or female? Young or old? Well liked or misunderstood? Conspicuous (obvious) or nondescript (ordinary)?Setting: (In what kind of place does your hero live? Does he or she live in the past, present, or future?)Character: (What are the heros strengths and weaknesses? Who are the heros family and friends? What does the hero do every day? What does the hero want in life? What do others want from the hero?) Conflicts: (What challenges might the hero experience? How might the hero transform into someone stronger?)The HookNobody wants to read a dull story or one that goes on for several paragraphs before it starts becoming interesting. Thats what makes the hook important. A hook is the opening sentence or sentences that capture the readers interest. Hooks come in many forms. In a narrative, hooks often introduce a character or setting.Introducing a Character: Late in the winter of my seventeenth year, my mother decided I was depressed, presumably because I rarely left the house, spent quite a lot of time in bed, read the same book over and over, ate infrequently, and devoted quite a bit of my abundant free time to thinking about death. (Green, The Fault in Our Stars) or I know Im not an ordinary ten-year-old kid. (Palacio, Wonder)Introducing a Setting: In the April night, more than once, blossoms fell from the orchard trees and lit with rustling taps on the drumskin. (The Drummer Boy of Shiloh) or It was one of those super-duper-cold Saturdays. (Curtis, The Watsons Go to Birmingham)Think about possible hooks for your Heros Journey narrative as you proceed.The DepartureNow, think about the hero you just created on page . What might the hero experience in the Departure Stage of his or her journey? Draft the beginning of a narrative using the three steps in this stage (The Call, The Refusal, and The Beginning) to guide your structure and development. Be sure to:Begin with a hook that helps establish a context and point of view (first-person or third-person).Use narrative techniques such as dialogue, pacing, and description to develop experiences, events, and/or characters.Make use of complete complex and compound-complex sentences.Use details and imagery to create mood.Think about graphic novel elements needed to illustrate this portion of the journeyThe InitiationThink about the hero you created in the previous activity. What might the hero experience in the Initiation Stage of his or her journey? Draft an event using your understanding of the Road of Trials to guide your structure and development. Be sure to:Use narrative techniques such as dialogue, pacing, and description and develop experiences, events, and/or characters.Use diction, detail, and imagery to create tone and mood.Sequence the event logically and naturally and use transitions to connect ideas.Think about graphic novel elements needed to illustrate this portion of the journeyThink about the shapes, shading, and expressions used in the visual depictions of the Odyssey and how the artist uses these devices to evoke a certain mood. What scene from your narrative would make a good visual?The ReturnRevisit your hero narrative. What might your hero learn by the end of the Return Stage in his or her journey? Draft an ending to your narrative using your understanding of the Crossing/Return Threshold to guide your development. 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