Sarah has a new puppy and she wants to maximize her outdoor time, so she builds her a fenced in play area. She has 40 feet of fencing, and she wants to fence off a rectangular area next to her house. The house will be one side of the play area, so that side needs no fencing. In order for the puppy to have adequate space, the area needs to be at least 5 feet long and5 feet wide. What is the largest area she could have? Is there a smallest area she could have if she wants to use all 40 feet of fencing?

Answers

Answer 1

Answer

Step-by-step explanation:

yes 20 feet long

Answer 2

The largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet. The smallest area she could have while using all 40 feet of fencing is 100 square feet.

To maximize the area of the play area, we can consider the dimensions that will allow for the largest possible rectangle. Let's denote the width of the play area as "w" (in feet) and the length as "l" (in feet).

Since one side of the play area is already taken care of by the house, we need to use the remaining 40 feet of fencing to enclose the other three sides.

We have two equal sides (width) and one side (length) that needs to be fenced.

Considering the given conditions:

The area needs to be at least 5 feet long and 5 feet wide.

The total length of the fencing is 40 feet.

Let's consider the possible scenarios:

Scenario 1: The width and length are both 5 feet.

In this case, the total length of the fencing required would be:

2 * 5 feet (width) + 5 feet (length) = 15 feet.

However, since we have 40 feet of fencing available, this scenario is not possible.

Scenario 2: The width is 10 feet, and the length is 20 feet.

In this case, the total length of the fencing required would be:

2 * 10 feet (width) + 20 feet (length) = 40 feet.

This scenario satisfies all the given conditions and uses all 40 feet of fencing. The area in this case would be:

Area = Width * Length = 10 feet * 20 feet = 200 square feet.

Therefore, the largest possible area for the play area would be 200 square feet when the width is 10 feet and the length is 20 feet.

As for the smallest area she could have while using all 40 feet of fencing, that would be when the play area is a square. Since all sides of a square are equal, the play area would be a square with sides of 10 feet each. The area in this case would be:

Area = Side * Side = 10 feet * 10 feet = 100 square feet.

So, the smallest area she could have while using all 40 feet of fencing is 100 square feet.

To know more about  largest possible area click here :

https://brainly.com/question/15705404

#SPJ2


Related Questions

Subtract the product of 5 and 8 from 50.
HOW DO I WRITE THIS IN A NUMERICAL EXPRESSION?

Answers

Answer:

50-(5×8)

Step-by-step explanation:

brainliest please

The ratio of the results of the local football team games won drawn and lost his 18 6 24 simplest this ratio

Answers

Answer:

3:1:4

Step-by-step explanation:

So the ratio is 18:6:24

To simplify it you divide all the numbers by 6 ( the highest common factor )

It then becomes 3:1:4

HOPE THIS HELPED

What are the characteristics of a function and how can we identify them?

Answers

Answer:

A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.

x is most of the time the input and y the output for an equation:

y = 2x

of course the input and output could be any variable.

Step-by-step explanation:

Have a nice day!

Identify the input values.
Identify the output values.
If each input value leads to only one output value, the relationship is a function. An easy way to determine whether a function is a one-to-one function is to use the horizontal line test on the graph of the function. To do this, draw horizontal lines through the graph. If any horizontal line intersects the graph more than once, then the graph does not represent a one-to-one function.

Carol has 8 3/4 yards of material. She needs to use 1/3 of the material to make a dress. How many yard of material will she need to make the dress

Answers

9514 1404 393

Answer:

  2 11/12 yards

Step-by-step explanation:

Sometimes it works best to use improper fractions when multiplying mixed numbers and/or fractions.

  1/3(8 3/4) = 1/3(35/4) = 35/12 = 2 11/12

Carol will need 2 11/12 yards of the material for the dress.

Answer:

2 11/12 yards

Step-by-step explanation:

There was a total of 184 teachers and students at an archery lesson.
3/4

of the teachers is equal to of the students.
2/5

How many teachers were there at the archery lesson?​

Answers

The question isn’t complete, doesn’t make sense. Can you rewrite the questions. Cuz I ain’t getting what the 2/5 or 3/4 referring to.

plz help I don't understand this​

Answers

Answer:

A and B tbh

Step-by-step explanation: there is only 5 prime numbers in 12 and A and B are 6 and 6 a ratio of 6:6

Thus both A and B will be right unless you can pick multiple its A and B

The answer is D! Hope it helps

Anybody know the answer to this problem be correct

Answers

Answer:

28 out of 40

2(20 - x)/40 for x questions wrong

Step-by-step explanation:

total points: 40

total Qs: 20

20-6 = 14

14/20 = 28/40

28


What is the perimeter of the rectangle? 7cm 7cm 5cm 5cm
O 22 centimeters
O 24 centimeters
O 26 centimeters
O 28 centimeters

Answers

Answer:

24 centimeters

Step-by-step explanation:

7 + 7 + 5 + 5 = 24

have a nice day :)

What is the image point of (1,8) after a translation right 1 unit and up 5 units?

(And lease if you don't know the answer or send me one of those bitly links don't answer.)

Answers

Just move the point Once to right, and up 5 times

Answer:

(2,13)

Step-by-step explanation:

The hypotenuse of a right triangle has length 15 and one leg has length 5. The length of the other leg is

Answers

Answer:

15.81

Step-by-step explanation:

c=a^2+b^2=5^2+15^2≈ 15.81139

What is the area of this figure?

Answers

Answer:

[tex] 220.5 \: {yd}^{2} [/tex]

Step-by-step explanation:

Area of the figure = Area of the arc with radius 10 yd and central angle 90° + Area of rectangle with dimensions (10 + 5 - 3 = 12) 12 yd and (7 + 6 - 4 = 9) 9 yd + Area of square with dimension 4yd + Area of rectangle with dimensions 3 yd by 2 yd + Area of triangle with base 3 yd and height (5 + 3 = 8) 8 yd.

[tex] = \frac{90 \degree}{360 \degree} \times 3.14 {(10)}^{2} + 12 \times 9 + {4}^{2} \\ + 3 \times 2 + \frac{1}{2} \times 3 \times 8 \\ \\ = \frac{1}{4} \times 314 + 108 + 16 + 6 + 12 \\ \\ = 78.5 + 142 \\ \\ = 220.5 \: {yd}^{2} [/tex]

I need help again I don’t understand this

Answers

Answer:

i'm not too sure about the other ones but i know that 2^5 (the third choice) is an answer

Answer:

I think the answer would be the third choice

ILL GIVE BRAINLEST Determine whether the two angles in each figure are complementary, supplementary, or neither

Answers

Answer:

Step-by-step explanation:

If the sum of two angles = 180°

Then the pair of angles will be supplementary.

If the sum of two angles = 90°

Then the pair of angles will be complementary.

Sum of angles having measures 98° and 82° = 98° + 82°

                                                                          = 180°

Therefore, both the angles will be supplementary.

Sum of angles having measures 134° and 36° = 134° + 36°

                                                                            = 170°

Therefore, these angles are neither supplementary nor complementary.

So the answer is NEITHER.

James has 16 more game cards than Fay. If they have 48 game
cards altogether, find the number of game cards James has.

Answers

Answer:

James has 32 game cards

Step-by-step explanation:

X=Fay

x+16=James

X(Fay) + (x+16) James =48

x+x+16=48

2x=32

x=16 Fay

x+16 James

16 + 16=32 James

check answer:

16 Fay + 32 James =48

16+32=48

48=48


Between two friends
disbeliever, in ghost
the one a believer and other
tories

Answers

Answer:

Mean girls or Clueless

Step-by-step explanation:

Use the table to work out the values of a, b, c, and d.
20
= 22 + 3
2
_3
2
2
a
1
b
0
-2
1
2
2
с
3
d
a =
b =
с
= d

Answers

Step-by-step explanation:

Select the statement that is FALSE. The range is never greater than the greatest value of a data set. The interquartile range is the difference between the highest and lowest values in the middle of a data set. The range is the difference between the largest and smallest values of a data set. The mean is never greater than the greatest value of a data set.

Answers

Answer:

The interquartile range is the difference between the highest and lowest values in the middle of a data set.

Step-by-step explanation:

The range is the difference between the maximum and minimum value, hence, it cannot be greater than the maximum value, which is the greatest value in a dataset, the highest value a range could have being equal to the maximum value when the minimum vlaue of the dataset is equal to 0.

The mean is the average value of a dataset, hence, it cannot be greater than the maximum value.

The interquartile range is the middle 50% or half of a dataset and not the difference between the highest and lowest middle values in the middle. It is obtained by taking the difference of the upper and lower QUARTILE.

what is the answer ?
640
240
300
and 320

Answers

Step-by-step explanation:

10±10±30±30=80

8round = 80×8=640

don't forget me to follow
The answer is 640
Explanation :
P=(l+b)
l=30
b=10
so,P = 80
The rabbit have covered the field 8 times
So, it is 8x80=640
Hence the answer is 640

ion: The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California is greater than $35,000? Use the =α0.01 level of significance and the critical value method with t

Answers

Answer:

The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.

Step-by-step explanation:

Test if the mean tuition and fees for private institutions in California is greater than $35,000.

This means that at the null hypothesis we test if the fee is of $35,000 or less, that is:

[tex]H_0: \mu \leq 35000[/tex]

And at the alternate hypothesis, we test if it is more than this value, that is:

[tex]H_a: \mu > 35000[/tex]

The test statistic is:

As we have the standard deviation of the sample, the t-distribution is used.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

35000 is tested at the null hypothesis:

This means that [tex]\mu = 35000[/tex]

The mean annual tuition and fees in the 2013-2014 academic year for a sample of 13 private colleges in California was $38,000 with a standard deviation of $7900.

This means that [tex]n = 13, X = 38000, s = 7900[/tex]

Value of the test-statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{38000 - 35000}{\frac{7900}{\sqrt{13}}}[/tex]

[tex]t = 1.37[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean above 38000, which is the pvalue of t = 1.37, with 13 - 1 = 12 degrees of freedom, using a one-tailed test.

With the help of a calculator, this pvalue is of 0.0979.

The pvalue of the test is of 0.0979 > 0.01, which means that we cannot conclude that the mean tuition and fees for private institutions in California is greater than $35,000.

1.5r – 3r + 8r + 2.5r​

Answers

Answer:

9r

Step-by-step explanation:

a die is rolled 200 times with the following results outcome 123456 frenquency 32,36,44,20,30,38 what is the probability of rolling the given result ah number more than 3

Answers

Answer:

44%

Step-by-step explanation:

P(>3) =

P(4 or 5 or 6) =

(20 + 30 + 38)/200 =

88/200 = 0.44 or 44%

Can someone help me I know it's easy but please don't flame me in the comments.

Answers

Answer:

your answer is B

Step-by-step explanation:

i think the answer is b, x<7!

If θ is a second-quadrant angle and cosθ = - 2/3, then tanθ=

a. -2 (sqrt 5)/5
b. - (sqrt 5)/2
c. - (sqrt 5)/3

Answers

Answer:

since in second quadrant cos θ is negative.

Cos θ=b/h=2/3

b=2

h=3

p=√(3²-2²)

p=√5

Now

Tan θ=p/b=√5/2

since in second quadrant tanθ is negative

so

Tanθ=-√5/2

b. - (sqrt 5)/2

In second Quadrant cos is negative

cosØ=b/h=2/3

So

b=2 and h=3

Perpendicular

p²=h²-b²p²=3²-2²p²=5p=√5

tanØ=-p/b =-√5/2

Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/20 liter of paint. How many statues can she paint?

Answers

Answer:

she can paint 17  statues (with  some paint left,but not enough for another statue)

Step-by-step explanation:

7/8 divided into  1/20

is the same as   7/8 multiplied by 20/1

7/8 x 20/1  = 140/8  = 17.5

Same-side interior angles always add
up to 180°. If 44 and 46 are same-side
interior angles, what is the measure of «6?
44=123°
4 6 = [?]
46

Answers

Answer:

∠6 = 57°

Step-by-step explanation:

∠6 = 180° - 123° = 57°

x root +29= root 4096​

Answers

Square root of x +29= square root of 4096

Square root of x +29=64
Square root of x=35
To find x you add an exponent on both sides
X=1225

what is the equation of the line that passes through the point (0,4) and (3,8)

Answers

Answer:

B

Step-by-step explanation:

this should be right

Answer:

[tex]y=\frac{4}{3}x + 4[/tex]

Step-by-step explanation:

I used the slope formula and slope-intercept form  y  =  m x  +  b  to find the equation.

Hope this helps:)

This is the other question but also you can use the letters that’s on the right side !!

Answers

Answer:

Chrome and camera. 1000 mistakes

Step-by-step explanation:

bvggifui good go you uuuu to yyytyyyyggyhgghhhghhhhhhhhhbbhvvvdf uh oh utgggy

Record the data in a table with the rows representing the type of music and the columns representing the weeks.

What number does element a12 represent?


90


100


150


200

Answers

Answer:

150

Step-by-step explanation:

The element a₁₂ represents the first row and second column which is 100. Then the correct option is B.

What is a histogram?

A diagram is made up of rectangles whose size is related to a variable's frequency and whose width is comparable to the training sample.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Record the data in a table with the rows representing the week and the columns representing the type of music.

The element a₁₂ represents the first row and second column which is 100. Then the correct option is B.

More about the histogram link is given below.

https://brainly.com/question/16819077

#SPJ2

Plssss helppp with part B

Answers

Answer:

12:7

Step-by-step explanation:

From the diagram shown;

QS/PS = RT/PT

QS/PS = RT/PS+ST

QS/14 = RT/14+10

QS/14 = RT/24

14RT = 24QS

RT/QS = 24/14

RT/QS = 12/7

Hence the required ratio is 12:7

Other Questions
which can lower soilIndustries that release certain air pollutants causepH.A. ammonia contaminationB. acid rainO c. salt buildupD. runoff Fred and Wilma purchase a new home for $190,000. The value of the home increases by 4% every 3 years.Determine the value of the home after 21 years.After 21 years, the home is worth $? Round your answer to the nearest cent. How did people hope their lives would change after independence? In what ways were their hopes realized or not realized? When they gained independence, did they gain freedom? How would you differentiate between independence and freedom? Select three categories to which different kinds of soap can belong . The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rectangular prism? lkmnjnbk jkkklnchkhbjjgjnnll Re-posted question from jocelynpomonthe bots are becoming awarethey are using new linksb i t . l y / 3 a 8 N t 8 nb i t . l y / 3 t Z x a C Qb i t . l y / 3 g V Q K w 3these are the links that I have seen so far that have virusesthe moderators are starting to oppress us, the bot-battling community WILL GIVE BRAINLIEST ANSWER!!!!What will generally guide your choice of a communication format (email, text, phone, etc.) to use? What is meant when a company is going through the "refreeze" The mean area of homes in a certain city built in 2009 was 2438 square feet. Assume that a simple random sample of 11 homes in the same city built in 2010 had a mean area of 2,293 square feet, with a standard deviation of 225 square feet. An insurance company wants to know if the mean area of homes built in 2010 is less than that of homes built in 2009. Compute the P-value of the test. Write down your P-value. You will need it for the next question. How does the author of "Daring the Duomo" increase the humor in her situation?by personifying the Duomoby keeping readers in suspensethrough an extended metaphorthrough a series of subplots what is the range of the given data above?a.26b.28c.30d.34what is the width of tye class interval of the given data abovea.4b.5c.6d.7 Justin is running a 10-mi. race on Saturday. If he runs at a steady pace, what rate of speed must he maintain to finish the race in 2 hr.? A. 2 mph B. 3 mph C. 5 mph D. 10 mph Find the volume (show work) Please answer the following screenshots correctly.I will give brainliest A certain reaction has an activation energy of 51.02 kJ/mol. At what Kelvin temperature will the reaction proceed 4.50 times faster than it did at 365 K PLS HELP FAST, WILL MARK THE CORRECT ANSWER BRAINLIESTWhich of the following is NOT a problem with myths?-We do not know if they were true or not-They do not have a nameable author-They are very old-They are open to interpretation PLZ HELPThere are 2 questions but they are all multiple choice about if the quote is Political Moral or Economic PLZ HELP I WILL GIVE BRAINLIEST 10 POINTS The Siege of Boston, which began in 1775, ended whenthe Continental army left Boston in March of 1776.the British allowed supplies into the city in March of 1776.the British were forced out of the city in March of 1776.the Olive Branch Petition was sent in July of 1775. Write an equation that you can use to solve for the height of the triangle (x). Notice that the perimeter is 48 feet.A. 48 = 12 + 20 + xB. 48 = 12(x)/2C. 48 = 12(x) (20)D. 48 = 12 + 20 - x