or security​ reasons, a company will enclose a rectangular area of 11,200 m2 in the rear of its plant. One side will be bounded by the building and the other three sides by fencing. If the bounding side of the building is 150 m long and 300 m of fencing will be​ used, what will be the dimensions of the rectangular​ area?

Answers

Answer 1

The dimensions of the rectangle are 150 m and 75 m respectively.

Let x be the length of the rectangular area and y be the width of the rectangular area.

Its area A = xy

Given that its area is 11,000 m², xy = 11000 m² (1)

Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.

Also, the perimeter of the rectangular area is P = 2(x + y)

Since P = 450 m

2(x + y) = 450 m

x + y = 225 m (2)

Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.

Substituting x into (2), we get the other dimension

x + y = 225

150 + y = 225

y = 225 m - 150 m

y = 75 m

So, the dimensions of the rectangle are 150 m and 75 m respectively.

Learn more about dimensions of a rectangular area here:

https://brainly.com/question/16818606


Related Questions

Write the converse inverse and contrapositive of the statement below

Answers

The statement to be converted is "If Snoopy did not dance a jig, then Charles Schultz wrote a Sonata.

The converse is: If Charles Schultz did not write a Sonata, then Snoopy did dance a jig.

What is the Converse of a Statement?

A converse statement is arrived at when you have swapped the hypothesis and the conclusion.

Another example that helps buttress this is given below:

Original Statement: If the car braked, then the driver was sleeping.

Converse Statement: The driver was not sleeping therefore the car did not brake.

See the link below for more about Converse Statements:

https://brainly.com/question/2751386

Fill in the table using this function rule.
y=30-4x
X
y
1
3
5
6
a

Answers

Answer:

26

18

10

6

hope this will help u

Factor x3 – 7x + 6 completely given that (x - 2) is a factor.

Answers

Find one factor

[tex](x-2)(x^{2} +2x-3)[/tex]

Find one factor

[tex](x-2)(x-1)(x+3)[/tex]

[tex]solution:(x-2)(x-1)(x+3)[/tex]

Factor the following polynomial x^2-9

Answers

Answer:

(x+3)(x-3)

Step-by-step explanation:

We know that [tex](a+b)(a-b)=a^2+b^2\\[/tex]

So, here we have x² and 9, which can be written as 3².

Therefore, we can have x=a and 3=b

So we get

(x+3)(x-3)

To check that we are correct, we can expand the brackets:

x²-3x+3x-9

=x²-9

Para monetizar contenidos en una red social, los videos nuevos que sean subidos deben superar las 1300 visitas diarias, y para monetizar los antiguos, han de tener mínimo 3000 visualizaciones y acumular 1000 visitas diarias.

¿Con qué expresiones algebraicas se pueden visualizar las visitas que han de tener cada día ambos tipos de video?

Answers

Answer:

Upcoming technology made of large organic molecules and genetically engineered protein is calledRelated to the Business means, directly or indirectly, used in, arising from or relating in any manner to the BusinessWelcome to Gboard clipboard, any text you copy will be saved here.

in order to start a small business a student takes out a simple interest loan for $8,000 for 6 months at a rate of 6.25%, how much interest must the student pay and find the future value of the loan round to the nearest cent as needed​

Answers

Answer:

The student must pay 4247.5 - 4000 = 247.50 dollars in interest

Step-by-step explanation:

x + 4y = 23
-2x + 3y = -2

Answers

Answer:

  (x, y) = (7, 4)

Step-by-step explanation:

I find a graphing calculator to give a solution quickly and easily.

  (x, y) = (7, 4)

__

Here, we can solve the first equation for x, then substitute into the second.

  x = 23 -4y

  -2(23 -4y) +3y = -2 . . . . . substitute for x

  -46 +8y +3y = -2 . . . . . eliminate parentheses

  11y = 44 . . . . . . . . . . . collect terms

  y = 4 . . . . . . . . . . . . divide by the coefficient of y

  x = 23 -4·4 = 7 . . . . use the expression for x to find x

  (x, y) = (7, 4)

can somebody please help me asap

Answers

the slope is 2/3 and the y intercept is -3

What cross sections might you see when a plane intersects a cone that you would not see when a plane intersects a prism or a pyramid

Answers

Answer:

the long They speaker by my parents waving the firstpassword of their Tain

after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?​

Answers

Answer:

9000

Step-by-step explanation:

Plotting the function f(x) =[tex]x^{3}-2x+1/2(2x^{2} -2x+1)[/tex]

Answers

Step-by-step explanation:

the graph of this function is

A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height of the rocket in feet is given by the polynomial −16t2 + 83t + 33, where t is the time in seconds. How high will the rocket be after 3 seconds?

a. 2586 feet
b. 234 feet
c. 138 feet
d. 105 feet

Answers

Answer:

c. 138 feet

Step-by-step explanation:

h(t) = −16t^2 + 83t + 33

At3 seconds

h(3) = -16(3^2) + 83(3) + 33

h(3) = -16(9) + 249 + 33

h(3) = -144 + 249 + 33

h(3) = 138

c. 138 feet

Complete the equation _,287x6=25,_ 2_

Answers

Answer:

4,287 x 6 = 25,722

.......

x ⋅ x = ? (1 point)
ttm

Answers

Answer:[tex]x 6[/tex]

Step-by-step explanation: Im not to good at math but hope that hlps

Answer:

x^x

Step-by-step explanation:

hope this helps :)

Area of a square is 81cm. Find the perimeter in cm.

Answers

Answer:

36 cm

hope it helps have a great day

Square root of 81 = 9 because to find for the area of square you would have to multiple two equal length

Perimeter is the addition of all length of the square since square has four equal sides it makes it each 9cm there you multiply 9cm x 4 sides getting 36cm

Set a timer for 20 seconds. Next, get ready to walk! Start the timer and count the number of steps you take in 20 seconds. Now for some math — using the number of steps you just counted, figure out the following:

The number of steps you took ÷ 20 seconds = _____ steps per second (round this to 2 decimals)

We want to make a five-second animation of a stick figure walking, so…

Five seconds x your # of steps per second = _____ steps

The walk cycle is for each foot taking a step, so two steps equals a walk cycle.

Total steps ÷ 2 = _____ walk cycles in your five-second animation

Answers

Answer:

1. 2.5 steps per second

2. 1.25 steps

Step-by-step explanation:

The equation y = 18x describes the amount of money Spongebob earns as a fry cook, where x is the
number of hours he works and y is the amount of money he earns. Show work. Complete sentence.
The table shows the amount of money Squidward earns as a cashier for different numbers of hours worked.
Squidward’s Earnings
Time (h) 3 5 8 10
Money earned
($) 48 80 128 160
(a) How much money does Spongebob earn per hour?
(b) How much money does Squidward earn per hour?
pls help and explain

Answers

Answer:

a. 18 dollars per hour

b. 16 dollars per hour

Step-by-step explanation:

for a, 18 is the slope of y=18x, meaning spongebob earns 18 dollars per hour

for b, since it seems like squidward earns 32 dollars every 2 hours, it can be guessed that he earns 16 dollars per hour, since 32/2 = 16

Solve the photo displayed above ⬆️

Answers

Answer: 216

Step-by-step explanation:its just 6x6x6

6*6*6=216 we will multiply 6 three times because its to the power of cube

Ordering numbers with positive exponents
Order the expressions by choosing >, <, or = .

Answers

Answer:

1  >

2 <

3 >

Step-by-step explanation:

I think so sorry if wrong :(

I NEED BIG TIME HELP PLEASE ANYONE

Answers

Answer:

Its B

Step-by-step explanation:

Answer:

the answer would be B I took the quiz

Step-by-step explanation:

I took the quiz

Assume that adults have IQ scores that are normally distributed with a mean of ?=100 and a standard deviation ?=20. Find the probability that a randomly selected adult has an IQ less than 140.

Answers

Answer:

The probability that a randomly selected adult has an IQ less than 140 is 0.9772

Step-by-step explanation:

Given:

Standard deviation: σ=20

Mean: μ=100

P(X<140)=?

Calculate:

normalcdf(lower,higher,μ,σ) = normalcdf(0,140,100,20) = 0.9772496509 ≈ 0.9772 ≈ 97.72%

3. Starting from the camp at C, Tim takes a bearing of a mountain and notes it to be 25°. He then walks 5 km to the hut at H and takes a second bearing, 345°

(a) Work out the angles in the triangle. Show it is a right angled triangle.

(b) From the mountain at M, what is the bearing of the camp?

(c) How far is it from the camp to the mountain?

(d) Tim walks back to camp from the hut. What bearing does he follow?

Answers

Answer:

No idea

Step-by-step explanation:

how do I determine what a function is for a line graph

Answers

Answer: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Step-by-step explanation:

What lowest terms fraction is equal to 0.48​

Answers

The lowest terms fraction that is equal to 0.48 is: 12/25

A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?

Answers

Answer:

Rounded to the nearest tenth, $.0.11 per fish stick

Step-by-step explanation:

I divided the cost of the fish sticks, $1.95, and how many in each pack, 18, so the answer was 0.10833333333... and that rounded would be $0.11

Hope this Helps

what is the expression for x increased by 12

Answers

Answer:

The answer is x + 12

Step-by-step explanation:

The expression for x increased by 12

i.e.,

x + 12

Thus, The answer is x + 12

-TheUnknownScientist 72

Answer:

x + 12

Step-by-step explanation:

To answer x increased by 12, we know that you are adding 12 to x. So that means the equation is x + 12

please help me im stuck

Answers

a. When x = -1, the value of y is 3.

b. When y = 7, the value of x is 1.

c. The y-intercept of the graph is (0,5).

d. The x-intercept of the graph is -2.5.

e. The slope of the line is 2.

f. The equation of the line is y = 2x + 5.

Hope this helps!! :)

What is the image point of (-5,-6) after the translation

Answers

Answer:

what's the translation?

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer: 7:1

Step-by-step explanation:

The answer is 7:1 because when referring to ratios the answer has to correspond to a group of items to something else. In this case, we are comparing 7 inches to a yard.

Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate

Thank You!

Answers

Answer:

19.42 ft

Step-by-step explanation:

Triangle Outer Perimeter:

5ft + 5ft = 10ft

Semi-Circle Outer Perimeter:

First let's find the circumference of the entire circle:

Circumference = 2πr

Circumference = 2π * 3

Circumference = 6π

Circumference = 6(3.14)

Circumference = 18.84

Now to find the perimeter of the semicircle, we divide that value by two:

6π = 18.84

(6π)/2 = (18.84)/2

3π = 9.42 ft

Total Outer Perimeter:

10 ft + 9.42 ft = 19.42 ft

-Chetan K

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