A shed has dimensions of 12m in length and 5 m in width. Both the length and width are increased by the same amount in order to increase the floor area by more than double the original area?

Answers

Answer 1

The amount by which the length and width of a shed can be increased to

more than double the area, depends on the initial dimensions.

The amount that can be added to both the length and the width to increase the floor area by more than double the original area is more than 3 meters.

Reasons:

The given parameters of the shed are;

The length of the shed = 12 m

Width of the shed = 5 m

The amount by which the length and the width are increased = The same amount

The new area after the increase in the length and width of the shed = More than double the initial area

Required:

The amount of increase in the length.

Solution:

Let the amount by which the length and width are increased = x

We have;

Initial area of the shed = 12 m × 5 m = 60 m²

The new area = (12 + x) × (5 + x) > 2 × 60

By multiplication, we get;

(12 + x) × (5 + x) = x² + 17·x + 60 > 2 × 60 = 120

x² + 17·x + 60 - 120 > 120 - 120 = 0

x² + 17·x - 60 > 0

By factorization, we get;

(x + 20)·(x - 3) > 0

x > -20, or x > 3

The increase (positive) amount of the solution is x > 3

Therefore, the amount by which both the length and the width can be increased to more than double the area is x > 3 meters

Learn more about the area of a rectangle here:

https://brainly.com/question/16410706


Related Questions

Bill and his 3 friends read 55 books each for the year. Each book had 320 pages, How many pages did they all read in total that year? ​

Answers

Answer:

they all read 52.800 pages in that year

Step-by-step explanation:

320 X 55 = 17.600 pages/person

17.600 X 3 = 52.800 pages

52,800 you just have to muliply it all together

Subtract 8 feet from 9 yards, 1 foot.

7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foot

Answers

Answer:

6 yards, 2 feet

Step-by-step explanation:

9yards and 1 ft - 8 feet= 6.66666667 yards

6.66666667 yards=6 yards, 2 feet

6 yards, 2 feet

hope it helps

Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?

Answers

Answer

$540

Step-by-step explanation:

hopes this helps

Opposite rays form a:
O line
O ray
O point
O plane
5

Answers

Answer:

ray

Step-by-step explanation:

A pair of opposite rays form a straight line.

Explanation:
A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. So, together a pair of opposite rays always form a straight line. So line is your answer.

Find X. Enter a number for your answer. Do not type the symbol for degree or the
word "degrees"

Answers

Use angle sum property (the 3 angles in a triangle sum up to 180°).

2x + x + 54 = 180

3x + 54 = 180

3x = 180 - 54

3x = 126

x = 126/3

x = 42

_____

Hope it helps ⚜

Answer:-

x = 42

Explanation:-

We know that,

Angles of a triangle adds to 180°

So,

=> 2x + x + 54 = 180

=> 3x = 180 – 54

=> 3x = 126

=> x = 126/3

=> x = 42

(x = 42° ; 2x = 84°)


The dimensions of a rectangular garden is 3 m by 10 m. When both dimensions are increased by equal amounts, the area of the garden doubles. What are the dimensions of the new garden?

Answers

Answer:

5 by 12 m

Step-by-step explanation:

The area for rectangle is LxW

The original area is 3*10, or 30 meters.

When both dimensions are increased, now the area is 60.

We can now inch up slowly to see what works:

3.5 and 10.5=36.75 X

4 and 11=40 X

5 and 12=60 YES!

The new dimensions of the garden are 5 m by 12 m, increased by 2, and the new area is 60 meters^2.

Sam needs a bowl to mix her punch. She has 2-cup bowl, and a 6-cup. What is the smallest bowl sam can use to make her punch?

Answers

Answer:

the 2 cup bowl

Step-by-step explanation:

it is literally the smallest bowl she can use at her disposal

Solve. 4 + x 7 = 2
pls helpppp

Answers

Answer: x=14

Step-by-step explanation:

4+x/7=2

-4 -4

X/7=-2

*7 *7

X=14

Answer:

-14

Step-by-step explanation:

The total cost for a piece of land is 600000. If the land is 100 meter shorter and each meter costs 1000 more the total cost would remain unchanged. Use a quadratic equation to determine the length of the land.

Answers

Answer:

5,00000000

Step-by-step explanation:

6000000000

Hurry!! Answer it please:))

Answers

Answer:

Option C.

Domain:

{3, 0, 2, 4}

Step-by-step explanation:

The domain is the set of all the values of x.

Answer:

C is the answer!:)

Step-by-step explanation:

Domain is all numbers on the left and range is on the right

Find the value of sin D rounded to the nearest hundredth, if necessary.

Answers

Answer:

0.22

Step-by-step explanation:

So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.

We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.

We have to find the value of sin(D)

opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22

A table of values of a linear function is shown below. Find the output when the input is n.

Answers

Answer:

Step-by-step explanation:

output = y

input = x

y=-2x + 3

if you follow the pattern, the next input is 5 which will output -7

classyfying triangles unit 4

Answers

Answer:

What do you mean by that?

Step-by-step explanation:

Answer:

Is there more to the question? or a link/ picture you forgot to add?

Step-by-step explanation:

The value of a newly purchased computer will decrease over time. The value of the computer can be modeled by the following function:

f(t)=200+1,200(0.73)2t,

where t is measured in years since the computer was purchased.

Use the drop-down menus to complete the explanation of how the function models the computer's value over time.

Answers

Answer:

$14000200

Step-by-step explanation:

a)

Substitute 0 for t and evaluate the expression. Recognize that any value to the zero power is 1.

  f(0) = 200 +1200(0.73^(2·0)) = 200 +1200·1

  f(0) = 1400

When t=0, the value of the computer is 1400 dollars.

__

b)

The exponential expression 1200(0.73^(2t)) has a horizontal asymptote of 0. It gets closer and closer to 0.

__

c)

The exponential term gets closer to 0, so the function value gets closer to ...

  f(∞) ≈ 200 +0 ≈ 200

f(t) gets closer and closer to 200.

Answer:

1) 1,400

2) 0

3) 200

y’’’’ - y = 0
y(0) = 0
y’(0) = 1
y’’(0) = 0
y’’’(0) = 0

Answers

Answer:

bick in my vaogina toes Step-by-step explanation:

A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many
yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the
bag stays equivalent to 6:15? Show your work.

Answers

Answer:

I would remove 5 yellow tiles.

Step-by-step explanation:

If the beginning ratio was 6:15, I would start by finding the ratio of 1 red tile to ? yellow tiles. By multiplying 1 by 15, giving you 15, and dividing 15 by 6, I would find out that 1 red tile is equal to 2.5 yellow tiles. I would then set up an equation so there is 1/2.5 = 4/?, the 4 being the remaining red tiles after removing 2. I would then find the yellow tiles by multiplying whatever number the 1st numerator can be multiplied by to equal the 2nd numerator. Basically, I know that 1 multiplied by 4 is equal to 4, so I would multiply 2.5 by 4, which is equal to 10. Now that I know 4 red tiles is equal to 10 yellow tiles, I would remove 5 tiles to keep the ratio equivalent to 6:15

HOPE THIS HELPS :)

I’ll give brainliest to the person who give me the correct answer and pointsss.
Match them

Answers

I think the y=ab^x goes with the first graph and the y=logbc goes with the second

Step-by-step explanation:

pictures

one answer.
Select
Suppose the average player in the NBA is 78 inches tall with
a standard deviation of 2.7 inches, while the average player 10 points
in the WNBA is 69 inches tall, with a standard deviation of 3.2 inches. Who is
relatively taller based on their comparison to their profession, Lebron James
(NBA) at 81 inches or Candace Parker (WNBA) at 76 inches?
A. O LeBron is relatively taller because he has a larger Z-score.
B. O LeBron is relatively taller because he has a smaller z-score.
a
c. O Candace is relatively taller because she has a larger Z-score.
D. O Candace is relatively taller because she has a smaller Z-score.

Answers

Using z-scores, it is found that the correct option is:

c. Candace is relatively taller because she has a larger Z-score.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

For the z-score of Lebron's height, we have that: [tex]X = 81, \mu = 78, \sigma = 2.7[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{81 - 78}{2.7}[/tex]

[tex]Z = 1.11[/tex]

For the z-score of Candace's height, we have that: [tex]X = 76, \mu = 69, \sigma = 3.2[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 69}{3.2}[/tex]

[tex]Z = 2.19[/tex]

Due to the higher z-score, Candace is relatively taller, hence option c is correct.

A similar problem is given at https://brainly.com/question/12982818


For each right triangle below, find all unknown side lengths and angle measures:

can anyone help for number 8 and 9

Answers

Answer:

10.

here,

h=c

b=5

p=12

,we know that,

h²=b²+p²(pythagoras theorum )

c=5²+12²

c=25+144

c=169

hence the value of c is 169.

help i dont know what this means

The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.

Answers

Answer:

12+26x=64

Step-by-step explanation:

64-12=52

52/2=26

$26 per pass

equation 12+26x=64

x=2 in this case x is representing the number of passes

12 is the ticket

and 64 is total cost

12+26x=64. goodluck!

PLEASE HELP
If you help You’ll automatically be my favorite person ever

Answers

Answer:

Put one point on -4 on the Y-axis (bottom middle) and one at (-2,2)

Write 6,070,000 in expanded form.

Answers

Answer:

6,000,000 + 0 + 70,000 + 0 + 0 + 0 + 0

bonus : word form: six million seventy thousand

Step-by-step explanation:

hope this helps! have a g'day


6,070,000 =
6,000,000
+ 0
+ 70,000
+ 0
+ 0
+ 0
+ 0

At Charles Walters Middle School, 25% of the students live more than 8 miles from school, What fraction of the students live more than 8 miles from school? Write your answer as a fraction in simplest form. ?​

Answers

Answer:

1/4

Step-by-step explanation:

0.25 = 1/4

Answer:

1/4

Step-by-step explanation:

25% is 25/100. 25/100 simplified is 1/4.

Which number is a factor of 15 but no a multiple of 3?

Answers

Answer: 5

Step-by-step explanation:

Please help I don’t understand!!

Answers

Answer:

[tex] \frac{5(x + y)}{ - 8x} [/tex]

Step-by-step explanation:

quotient means division

numerator is the top

denominator is the bottom

product means multiply

sum means add

Pls help I’m failing do it on paper and put it in the answer box

Answers

Step-by-step explanation:

there is no mathematical problem to solve.

just follow the instructions as given.

this is an exercise for you to get a feeling about what is what. it is imperative that you do it.

there is really nothing to solve.

remember, that a positive slope means the line goes up (from left to right), and a negative slope means the line goes down (again from left to right).

and I am sure you know what vertical and horizontal means.

Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $45 per hour. The mechanics worked for a
combined total of 25 hours, and together they charged a total of $1425. How long did each mechanic work?

Answers

Answer:

First mechanic 10 hours, Second is 15 hours

Step-by-step explanation:

x + y = 25, so y = 25 - x

75x + 45y = 1425

Substitute in the first equation

75x + 45(25 - x) = 1425

75x + 1125 - 45x = 1425

30x = 300

x = 10

Therefore, y = 15

Answer:

they both worked

8 hours

Need help solving homework

Answers

3 + 2 = 1 + 4
2 + 15 = 10 + 7
8 + 9 = 19 - 2
12 - 7 = 14 - 9


Hope this helped!
8+9 and 10+7 are both 17
12-7 and 3+2 are both 5
19-2 and 2+15 are both 17
14-9 and 1+4 are both 5

8+9=10+7=19-2=2+15

12-7=3+2=14-9=1+4

what is the exact value of tan(-π/3)?
A. -√3
B. -√3/3
C.√3/3
D. √3​

Answers

[tex]\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3[/tex]

Find the next four terms in the sequence.
1,-4, 16, -64, ...

Answers

Answer:

256, -1024, 4096, -16384

i think that's it

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