Philip wants to enclose his garden using 32 meters of fence. What is the largest interger value area, in square meteres, that he can enclose? what are the dimensions of the rectangular enclosure for his garden?.

Answers

Answer 1

The dimensions of the rectangular enclosure for his garden is length of 8.0 m and width of 8.0 m.

Given :

Let x represent the length of the garden and y represent the width of the garden.

Perimeter = 2(x + y)

32 = 2(x + y)

x + y = 16

y = 16 - x

Area (A) = length * width

A = xy

A = x(16 - x)

A = 16x - x²

Maximum area is at dA/dx = 0:

dA/dx = 16 - 2x

0 = 16 - 2x

2x = 16

x = 8.0 m

y = 16 - x = 15 - 7.5 = 8.0 m

The dimensions of the rectangular enclosure for his garden is length of 8.0 m and width of 8.0 m.

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Related Questions

Solve the system of linear equations by substitution.

Answers

[tex] \large{\red{\underline{\bf{Required \: Solution \: : }}}} [/tex]

Here we have been provided with two equations and we have to solve them by substitution method and get the value of x and y.

y = x - 4 (Equation No 1)y = 4x - 10 (Equation No 2)

Here we have been already provided a temporary value of y in first equation so let us substitute in the second equation.

[tex]: \implies \: \sf{y \: = \: 4x \: - \: 10}[/tex]

[tex]: \implies \: \sf{x \: - \: 4 \: = \: 4x \: - \: 10}[/tex]

[tex]: \implies \: \sf{x \: = \: 4x \: - \: 10 \: + \: 4}[/tex]

[tex]: \implies \: \sf{x \: = \: 4x \: - 6}[/tex]

[tex]: \implies \: \sf{x \: - 4x \: = \: - 6}[/tex]

[tex]: \implies \: \sf{ - 3x \: = \: - 6}[/tex]

[tex]: \implies \: \sf{ \cancel - \: 3x \: = \: \cancel- \: 6}[/tex]

[tex]: \implies \: \sf{ 3x \: = \: 6}[/tex]

[tex]: \implies \: \sf{ x \: = \: \dfrac{6}{3} }[/tex]

[tex]: \implies \: \sf{ x \: = \: \cancel\dfrac{6}{3} }[/tex]

[tex]: \implies \: \boxed{\bf{ x \: = \:2 }} \pink\bigstar[/tex]

Therefore, value of x is 2..!!

Finding out value of y :

Here we would substitute the value of x which we got as 2 in the first equation inorder to get the value of y.

[tex]: \implies \: \sf{ y \: = \: x \: - \: 4 }[/tex]

[tex]: \implies \: \sf{ y \: = \: 2 \: - \: 4 }[/tex]

[tex]: \implies \: \boxed{\bf{ y \: = \:-2 }} \pink\bigstar[/tex]

Therefore, value of y is -2.

1. Find the probability that you will roll a six and then a five when you roll a die twice
2. A bag contains 3 red, 4 blue, and 6 yellow marbles. One Marble is selected at a time, and once a marble is selected, it is replaced, find each probability.

Answers

1/36 for the first need the questions for the second

Find the median and mean of the data set below:
48, 50, 38, 4, 8, 46, 23

Answers

Answer:

the median is 38 and the mean is 31

Step-by-step explanation:

Answer:

Mean: 31, Median: 38

Step-by-step explanation:

Mean: 48 + 50 + 38 + 4 + 8 + 46 + 23 = 217 divided by 7 (the amount of numbers) = 31

Median: 4, 8, 23, 38, 46, 48, 50 (The middle number of the numbers in order from least to greatest)

(Please correct me if I'm wrong)

i forgot how to do this plz help

Answers

Answer:

C. 48°

Step-by-step explanation:

The correct answer would be C. 48 degrees

Can someone pls help I will give you the crown

Answers

Answer:

i think b

Step-by-step explanation:

Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.

37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.

This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.

Answers

It’s a virus don’t believe it

Match the systems of equations to their solutions.

Answers

Answer:Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!

:)

A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6
hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.

Answers

Answer:

Step-by-step explanation:

p and s was are the speeds of the plane and wind, respectively.

Traveling with the wind, the plane moves p+w miles per hour.

p+w = (1092 miles)/(6 hours) = (182 miles)/hour

Traveling against the wind, the plane moves p-w miles per hour.

p-w = (1092 miles)/(7 hours) = (156 miles)/hour

Add the equations together

p+w = 182

p-w = 156

—————-

2p = 338

p = 169 miles per hour

w = p-156 = 13 miles per hour

There are 9 cars in the parking lot. 2 cars are parked on the left and the other cars are
parked on the right. What fraction of the cars are parked on the right?

Answers

7/9

Explanation:
There are 7 cars out of the total of 9 on the right

11. Choose the appropriate graph for the equation below using slope-intercept form. y = -3x + 8 (multiple choice)​

Answers

Option 4, the root (8/3,0) the vertical intercept is (0,8)

SOMEONE HELP ME PLEASE PAST DUE!! No websites allowed!

Give me the answer for the blanks

Airplane

Boat

Bike

The clues are at true bottom

Answers

Answer:

Airplane goes 550 mph

Bike goes 9 mph

Ship goes 27 mph

Step-by-step explanation:

The airplane goes 1,925 every 3.5 hours

Divide 1925 by 3.5

1925/3.5 = 550mph

Do the same thing with the bike’s numbers:

45/5 = 9

So 9mph

And again with the ship:

432/16 = 27

It also says its three times as fast as the bike so:

9 x 3 = 27

So the ship goes 27 mph

what is the range of life expectancy chart below

the numbers are 74 76 78 80 82 in that exact order

Answers

Answer:

74 76 78 80 82

Step-by-step explanation:

THE IMAGE IT BLURRY!

You get a brand new car for your 16th birthday, valued at $25,875. Each year you
own the car it decreases in value by 15%. How much will the car be worth when you
turn 21?

Answers

Answer: $25,875 - 15% = 21 993.75  0r $25,875 + 15% = 29 756.25

Step-by-step explanation:

DUE IN A BIT PLEASE HELP WILL MARK BRAINLIEST JUST PLEASE HELP!! :((

Answers

Answer: D

Step-by-step explanation:

HELPPPPP WILL MARK BRAINLIEST THIS IS DUE AT 1:50!!!!

Answers

113 and 1/3. You multiply 4 1/4 by 1 2/3 to get 7 and 1/12 then multiply that by 16 because there is 16 spaces which gets you 113 1/3

help me plss im beeging

Answers

Answer:

1. x = 12

2. x= 9

3.x = 14

4.x=18

Step-by-step explanation:

solve for the variable, please show work.

correct answer = brainliest !!!!


3√(c) + 1 = 1

Answers

The answer is c = 0

Explanation, see the picture

Will give brainliest!

Answers

Answer:

Step-by-step explanation:

multiply 0.83 by 0.06 = 0.0498

multiply 0.17 by 0.52 and add that to the first one

which gives you the prob of winning of 0.1382

in a right triangle, if sin(theta)= 8/17, what is tan (theta)?

Answers

sin θ = perpendicular/ hypotenuse

tan θ = perpendicular/base

By applying Pythagoras theorem, you get the base as 15

So, your answer is 8/15

NEED HELP ASAP PLS

polygon ABCD, shown in the figure is dilated by a scale factor of 8 with the origin as the center of dilation , resulting in the image of ABCD .
The slope of CD is ____?

Answers

Answer:

2/1 or 2overrun

Step-by-step explanation:

You can see that the rais/run for C to D is 2/1. So that would be the slope.

Lawrence has a paperweight in the shape of a triangular prism. The prism is filled with sand and has a volume of 84 cm3. If the paperweight’s area of the base, B, is 12 cm2, what is the height of the triangular prism?

A. 7 cm
B. 28 cm
C. 24 cm
D. 6 cm

Answers

Answer:

H=7cm

Step-by-step explanation:

If volume is: V=B*H then H= V:B

So, you get:

H= 84:12

H=7cm

What is the output is 2 less than twice the input.

Answers

Answer:

no

Step-by-step explanation:

at least I don't think so be cause it hard to explain

Greg is four feet tall. how many inches tall is Greg?​

Answers

Answer:

48 inches

Step-by-step explanation:

Answer:

it is the wrong answer

Step-by-step explanation: he is 5 feet and 10 inches

Please show work

I'll give brainliest ​

Answers

Answer:

7

Step-by-step explanation:

a right angle is 90 degrees so

90=76+2x        subtract 76 from both sides

-76 -76

________

14=2x                divide 2 from both sides

_   ___

2     2

7=x

Check:

76+(2*7)=90 correct

                                               

Answer:

x=7

Step-by-step explanation:

76°+2n=90°

2x=90-76

[tex] \frac{2x}{2} = \frac{14}{2} [/tex]

[tex]x = 7[/tex]

hope it helps...

Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $72. At another store she can
borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the
cost to be the same at both stores?

Answers

2.50 is the answer because if she has 2 then she can get 1

JUHE
Carlos says that the first step to solve this equation is to divide
both sides by -7. Is he correct? Explain.

Answers

The answer is 21 because that’s when I finally touch a goldfish
The correct answer is twenty one

who wants to be in a meet with me?

Answers

hdjdsisjsjsjjsjdjsjsjjsjsjs

Answer: me as long as ur not a 90 year old grandpa behind the screen.

Step-by-step explanation:

Identify the lobe of the brain that is highlighted.
a) frontal
b) temporal
c) occipital
d) parietal

Answers

Don’t go to That link but I think it is d

The lobe of the brain that is highlighted is Temporal Lobes.

Therefore, The correct option is B.

Temporal Lobes of the brain =

The temporal lobes are a region of the brain located on the sides of the head, beneath the lateral fissure, which separates them from the frontal and parietal lobes.

They are part of the cerebral cortex and play a crucial role in various cognitive functions and sensory processing.

Here are some key features and functions associated with the temporal lobes:

MemoryUnderstanding Language (Receptive Language)SequencingHearingOrganization

Hence the correct option is B.

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Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her party. Casa Lucia charges a $200 one-time rental fee plus $500 per hour. The Silver Fox charges $200 per hour plus a $1,100 one-time rental fee. Explain what the solution to the system of equations represents in this real-world context.

Answers

Answer:

number of hours = 3 hours

Step-by-step explanation:

Let

x = number of hours

Casa Lucia = 200 + 500x

Silver Fox = 1,100 + 200x

To solve the equation, equate both cost of rent

Casa Lucia = Silver Fox

200 + 500x = 1,100 + 200x

200 - 1,100 = 200x - 500x

-900 = - 300x

x = -900 / -300

x = 3 hours

number of hours = 3 hours

The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.

It means both locations cost the same if rented for 3 hours each

2. Find the area of the trapezoid.

A. 44^3 ft
B. 52^3 ft
C. 44^3 - 24ft
D. 60^3 ft

Answers

Answer:

i think the answer is b i hope it helps

Step-by-step explanation:

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