A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The four walls and one
additional vertical segment (to separate the regions) are made up of fencing, as shown below.
1
If the farmer has 276 feet of fencing, what are the dimensions of the region which enclose the maximal area?
Select the correct answer helnur

Answers

Answer 1

Answer:

46 feet by 69 feet

Step-by-step explanation:

If the three equal vertical segments on the left, middle, and right of the region each have length L, and the segments on the top and bottom side of the region have length W, then we see that 3L+2W=276 (the total length of the fencing), so we find that

W=276−3L2

Therefore, in terms of the side length L, the area of the region is

L⋅(276−3L2)=276L−3L22

This is a quadratic function, where L is what we usually think of as x. To maximize the area we should find the x-value of its vertex. Recall that the x-value of the vertex of the parabola ax2+bx+c is given by the formula −b2a. So in this case, we have a=−32 and b=138, so the x-value of the vertex is

−b2a=−(138)2(−3/2)=46

So the optimal length of the left, middle, and right segments is 46, and the length of the top and bottom is

W=276−3(46)2=69


Related Questions

help me with this problem. The topic is fraction number lines 4.
And the other question is please note that to aid understanding the fraction have not been simplified on this sheet.

Answers

Answer:

i dont know

Step-by-step explanation:

someone help me with this i’ll mark u brainlist or whatever its called lol

Answers

ok so i can’t help with all of them because i don’t fully understand but here’s what i know:
the slope is 0, and it isn’t proportional. sorry i don’t know the whole thing
slope is 0 y int is -4 it’s undef and i forgot what portorinal means so if it means it’s the same number twice out yes if not out no

he tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.

Cara’s Flower Arrangements
White 3 6 9 12 15
Yellow 5 10 15 20 25

Hector’s Flower Arrangements
White 4 8 12 16 20
Yellow 6 10 14 18 22

Part A
Are the numbers of white and yellow flowers in Cara’s arrangements proportional?
Which equation relates the number of white flowers, w, to the number of yellow flowers, y?
Yes; y=35w
Yes; y=53w
No; y=3w+5w
No; y=5+3w
Part B
Are the numbers of white and yellow flowers in Hector’s arrangements proportional?
Which equation relates the number of white flowers, h, to the number of yellow flowers, e?
Yes; e=32h
Yes; e=23h
No; e=h+2
No; e=h−2

Answers

Answer:

A.

1. no, y = 5 + 3w

B.

no, e = h + 2

Step-by-step explanation:

Using the principle of proportional relationship to model the two tables, we can infer that, the first first table is proportional while the second isn't.

Clara's arrangement :

White (w)Yellow (y)

Testing if relationship is proportional :

y = kw

5 = 3k

[tex] k = \frac{5}{3}[/tex]

Yes, the relationship is proportional [tex] y = \frac{5}{3}w[/tex]

Hector's arrangement :

White (h)Yellow (e)

The number of yellow flowers surpasses the number of white flowers by a constant value of 2.

Hence, the relationship can be modeled thus ;

e = h + 2

Therefore, the relationship is not proportional.

Learn more : https://brainly.com/question/19267918

please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

A translation means you are moving the image a certain amount of units, in this case, 7 units up. Since x values are all horizontal x does not change, but all y values will be 7 units higher.
For example (1,2) becomes (1,9).
A translation 7 units up will change the coordinates of a shape by the Y coordinate going up by 7.

HELP PLS APASAPA I WILL GIVE BRAIN

Answers

Answer:

you answer will be a binary number

hi! can you answer the question followed in the "hey brains!!.odt"! thanks!;)))

Answers

Answer:

I believe the answer is 13/945

Answer:

Brainliest Plzzz!!!

Step-by-step explanation:

i made this line graph by measuring a cardboard box yesterday. can someone write 2-3 sentences about what you understood from this graph?
will give brainliest!

Answers

Answer:

As the time went by the shadow got smaller untill it hit three pm and 4pm. The reason the box shadow did not change over the time period of 4pm and 7pm is because at night there is no chance of light hitting around the box because from this graph I can see that the sun was goung down by 3pm. In conclusion the graph below shows when the sun was up and when the sun went down.

Step-by-step explanation:

As the time went by the shadow got smaller untill it hit three pm and 4pm. The reason the box shadow did not change over the time period of 4pm and 7pm is because at night there is no chance of light hitting around the box because from this graph I can see that the sun was goung down by 3pm. In conclusion the graph below shows when the sun was up and when the sun went down.

i need this now asap

Answers

156 would be the answer

A soccer field is 120 yards long. *1 yard = 3 feet

Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.

What is the amount of the error?

Express the error as a percentage of the actual length of the field.

Answers

Answer:

0.33

Step-by-step explanation:

Brainlest please :D

About 3.9 x 10^7 people live in California. About 1.3 x 10^6 live in Maine. About how many times more people live in California than live in Maine?

- 3 times as many
- 30 times as many
- 300 times as many
- 3 x 10^6 times as many

Answers

how many more people live in California than live in Maine is 37.7 × 10⁶ people.

Divide the number of people in California (3.9x10^7) by the number of people in Maine (1.3x10^6)

(3.9x10^7) / (1.3x10^6) = 30

PLEASE HELP ME !!!!!!

Answers

Step-by-step explanation:

In this question as two straight lines intersect each other

we use vertically opposite angle axiom

so 74 degree = 2x.

then x= 74/2= 37degree

Answer:

Angle 74 degrees and 2x are vertical, so they would have to equal each other.

Note: Vertical angles are congruent meaning they measure the same degrees

So we set up the equation;

74 = 2x

/2     /2

37° = x

PLEASE HELP ME!!!! I REALLY DON'T UNDERSTAND THIS!!

Answers

Answer:

22.5

21

18.75

Step-by-step explanation:

days/money earnt

Divide the money earned by the number of games. 90 divided by 4 is 22.5 105 divided by 5 is 21 and 150 divided by 8 is 18.75

What is the distance between (-8, 5) and (6, 5)?
Enter your answer in the box.

___ Units

Answers

Answer:

distance: 14

explanation:

[tex]\sf \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

given:

(-8, 5) and (6, 5)

solve:

[tex]\sf \rightarrow \sqrt{(5-5)^2+(6--8)^2}[/tex]

[tex]\sf \rightarrow \sqrt{(0)^2+(14)^2}[/tex]

[tex]\sf \rightarrow \sqrt{14^2}[/tex]

[tex]\sf \rightarrow 14[/tex]

Solution:

We know that:

[tex]\text{Distance }=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}[/tex]

Finding the coordinates

(x₁,y₁) = (-8,5) = x₁ = -8; y₁ = 5(x₂,y₂) = (6,5) = x₂ = 6; y₂ = 5

Substitute the coordinates into the distance formula.

[tex]\text{Distance }=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}[/tex]

[tex]\rightarrow \text{Distance }=\sqrt{[(6- (-8)]^{2} +[5-5]^{2}}[/tex]

[tex]\rightarrow \text{Distance }=\sqrt{[(6 + 8]^{2} +[0]^{2}}[/tex]

[tex]\rightarrow \text{Distance }=\sqrt{[14]^{2}[/tex]

[tex]\rightarrow \boxed{\text{Distance }=14 \ \text{units}}[/tex]

Every 14 days, Debbie’s dog eats 4 1/5 pounds of dog food. If Debbie’s dog eats the same amount of food each day, how many pounds does her dog eat per day?

Answers

it’s .3 pounds per day

The amount of food her dog eat per day would be; 0.33 pound.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that  Debbie’s dog eats 21/5 pounds of dog food every 14 days.  Debbie’s dog eats the same amount of food each day.

Therefore,

21/5 pounds of dog food = 14 day

one day = 14 / (21/5 ) pounds of dog food

One day = 14 x 5/ 21

= 10/3

Therefore, the amount of food her dog eat per day would be; 0.33 pound.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

PLEASE DONT PUT ANYTHING IF U DONT KNOW IF U DO WELL PUT IT cuz it makes it look like if was answer PLS HELP ME OUT 6th grade math

Answers

Answer:

what is the question

Step-by-step explanation:

Answer:
Please tell us the question



Explanation

Which data set does this stem-and-leaf plot represent? Stem | Leaf

------------------

1 | 55889

2 | 0

3 | 0339

4 | 15


A. 30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18


B. 39, 33, 15, 18, 18, 20, 3, 19, 41, 45, 18


C. 15, 19, 19, 20, 30, 33, 39, 41, 45


D. 5, 5, 8, 8, 9, 0, 0, 3, 3, 9, 1, 5

Answers

Answer:

D

Step-by-step explanation:

You have to find a pattern that correlates to one of the options to get the key of the stem and leaf diagram. The pattern is the stem is multiplied by the leaf.

In the first one:

1*5=5

1*5=5

1*8=8

1*8=8

1*9=9

And so on

The answer to your problem is d

ill make brainliest if someone helps me

Answers

Answer:

3:1      9        7

Step-by-step explanation:

Answer:

The ratio is 2:3/4

The value of the ratio is [tex]2\frac{3}{4}[/tex]

The amount of white grape juice is __ amount of sugar.

Step-by-step explanation:

i dont know the third one, please specify if it's a number or a word

A scientist measures the growth of a new type of ivy that has been bred to grow in all types of weather. At the end of each week, the scientist measures the length of the vine.


A 3-column table with 5 rows. Column 1 is labeled Weeks with entries 1, 2, 3, 4, 5. Column 2 is labeled Total length (inches) with entries 4, 8, 12, blank, blank. Column 3 is labeled Total length (feet) with entries blank, blank, 1, blank, blank.


If the vine continues to grow at this rate, it will be

inches long at the end of 5 weeks. and the answera is 20

Answers

Answer:

16, then 20 inches

Step-by-step explanation:

16,then 20 inches sorry if incorrect

Solve for the indicated variable.

[tex]\frac{g}{h} = e - 10[/tex] for g

Answers

Answer:

g = h(e-10)

Step-by-step explanation:

You can multiply the whole equation by h to get g by itself.

g = h*(e-10)
this is solution for g, you just have to multiply h and you will get that

Pls help thank you..

Answers

Answer:

10

Step-by-step explanation:

10
is ur answerrr
jjj yup

It takes Krys and Glen 1_4hour to walk a mile. This week Krys walked 9 miles and Glen walked 3 miles. How much longer did Krys walk than Glen?

Answers

Answer:

Krys walked 1 1/2 hours longer than Glen.

Step-by-step explanation:

Glen walked 3 miles

3 x 1/4 = 3/4

Krys walked 9 miles

9 x 1/4 = 9/4

9/4 - 3/4 = 6/4

6/4 = 1 2/4

1 2/4 = 1 1/2

gl

Krys wakes for 2 1/4 miles and glen walked for 1 1/4 miles so the krys walked 1 more hour than glen

Sarah can spend at most $200 on school clothes write an inequality to represent the amount Sarah can spend on school clothes. Use UPS Check.

Answers

Answer:

x ≤ 200

Step-by-step explanation:

Let x = the amount Sarah can spend on school clothes

Given:

Sarah can spend at most $200

⇒ x ≤ 200

≤ means equal to or less than

the answer to this question is x < 200.

helpppppppppppppp!!!!!!!!!!

Answers

I think the answer is B

What is the product of 4 Over 5 times two-fifths?

A model representing 4 Over 5 and two-fifths
6 Over 25
8 Over 25
6 Over 10
20 Over 10

Answers

Answer:

8 over 25 or 8/25

Step-by-step explanation:

Hope this Helps!!

If you are given two unknown samples of gray metals, how can you use physical properties to determine if they are the same?

Answers

if there is a difference in feeling

What is the slope of the line?

Answers

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844) who wrote the equation of a straight line as "y = mx + b" and it can also be found in Tod hunter (1888) who wrote it as "y = mx + c".

Step-by-step explanation:

Steps for Graphing a Line With a Given Slope

Plot a point on the y-axis. (In the next lesson, Graphing with Slope Intercept Form, you will learn the exact point that needs to be plotted first. For right now, we are only focusing on slope.)

Look at the numerator of the slope. Count the rise from the point that you plotted. If the slope is positive, count up and if the slope is negative, count down.

Look at the denominator of the slope. Count the run to the right.

Plot your point.

Repeat the above steps from your second point to plot a third point if you wish.

Draw a straight line through your points.

Answer: as you can see the line only on the 1

Step-by-step explanation:

A trampoline is shaped like a circle. The radius of the trampoline is 4 feet. Around the edge of the trampoline is 0.75 foot wide padded cover over the springs. This pad looks like a ring around the edge of the trampoline.

What is the probability of a student landing on the padded cover over the trampoline springs?

Enter the answer, rounded to the nearest hundredth, in the boxes.

Probability landing on the padded cover over trampoline springs =

Answers

Answer:

its 0.29

Step-by-step explanation:i took the test

What statement describes how water is involved in weathering a rock?

It increases the volume of the rock.
It makes the edges of the rock jagged.
It makes the edges of the rock smooth.
It moves the rock to a new location.

Answers

I think its B. It makes the edges of the rock look jagged
it is B because weathering is breaking down and this is breaking it down

1. The scores from a statistics test were
99, 60, 82, 78, 93, 71, 68, 86, 80, 95, 72, 64
a. Calculate the mean and standard deviation for the class
(to the nearest whole number)
b. Drawn and label the normal distribution curve,
and
c. 68% of the students have a test score between
and
d. 95% of the students have a test score between
e. What percentage of the students scored less than a 792
f. What percentage of the students scored between a 55 and a 912

Answers

Answer:

Mean = 79

Step-by-step explanation:

99 + 60 + 82 + 78 + 93 + 71 + 68 + 86 + 80 + 95 + 72 + 64

Then divide by  12 because that's the total of numbers there are.

So 948 / 12 = 79

Mean=79 it’s just a step by step

PLS!! HELP ASAP I WILL GIVE BRAINLIEST. write the correct answer

pic is not blurry not excuses

Answers

Answer:

8 or 9

Step-by-step explanation:

im not sure hope this helps

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