A rectangle restaurant kitchen has a perimeter of 38 m in an area of 88 m² what are the dimensions of the kitchen

Answers

Answer 1

The dimensions of the kitchen are 11m × 8m.

In geometrical mathematics, a polygon with four sides is referred to as a quadrilateral, while a quadrilateral with two opposed, parallel, and equal sides is referred to as a rectangle.

A rectangle has four equal-sized angles. There are four angles in a rectangle.

A rectangle has 90° angles on all sides.

The rectangle's diagonal is the separation or length of a line segment that connects any two opposed vertices.

Let l and w represent the length and breadth of the rectangular kitchen, respectively.

we know that area of a rectangle = length × width

perimeter of a rectangle = 2(l ₊ b)

Given that the rectangular kitchen has an area of 88 m².

A = 88 m²

l × w = 88 m² ....eq(1)

The perimeter of the rectangle is 38 m.

Perimeter (P) = 38 m

2(l+w) = 38 m

l+w = 19 m

l = 19 - w .....eq(2)

substitute eq(2) in eq(1).

l × w = 88 m²

(19 - w)w = 88

19w - w² = 88

-w²+19w-88 = 0

w²-19w+88 = 0

By factorization method, we get:

w²-11w-8w+88 = 0

w(w-11)-8(w-11) = 0

(w-11)(w-8)

w = 11 or w = 8

If w = 11,

then l = 19-11 = 8m

and If w = 8m

then, l =  19-8 = 11m

so the dimensions are 11m×8m

Hence we get the dimensions of the kitchen are: 11m×8m

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Related Questions

for a mid-day snack, theresa had one of her mother's fresh peanut butter cookies with a glass of whole milk. this snack has 400 calories, of which 234 kcalories came from fat. what percentage of total calories came from fat in theresa's snack?

Answers

58.5% since it’s 400 total and you want a percent 400\4 = 100 so 234/4 = 58.5

in 1988, galena christyakova set the women's long jump record of 7.52 meters. in 1991, mike powell set the men's long jump record of 8.95 meters. how much farther (ef) would galena have to jump in order to tie mike's record?

Answers

Answer: 1.43 meters

Step-by-step explanation:

subtract 7.52 from 8.92 and that's the difference so that is how far she would have to jump to tie the record

Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Read the following statements:
Statement 1: If it is a triangle, then it has three sides.
Statement 2: If it does not have three sides, then it is not a triangle.
Are the two statements logically equivalent?
No, only one statement is true.
Yes, both statements are false.
Yes, both statements are true.
No, both statements are false.

Answers

Yes, both statements are true

Both statements are correct. The right answer is C.

What are the statement and conclusion?

Statement and conclusion are essentially a part of logical reasoning. A statement and a series of conclusions will be presented in this section. The conclusion that most logically follows the statement must be chosen.

Given that:-

Statement 1: If it is a triangle, then it has three sides.

Statement 2: If it does not have three sides, then it is not a triangle.

In the statement and conclusion, we only believe the facts that are given in the statement and according to that, we estimate our answer.

The given two statements are logically equivalent. Therefore, the statements are correct. The right answer is C.

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WILLGIVE BRAINLIST 2 BEST ANSWER AND EXTRA POINTS

David works for an advertising company, and is currently hired to help a small ice cream shop. He sells his services using a commission approach with the company, where he gets paid $100 from the advertising company, and then $0.50 per customer that mentions his name from his advertisements and purchases an item in the ice cream shop. If David received $401.50 for his services, which of the following equations in the drop-down menu below models David’s pay from working with the small ice cream shop?
A 401.50=0.50x=100

B 401.50=100x=0.50

C 401.50x=100x=0.50

D 401.50=0.50=x=100

thats it

PLEASEHELPPPPPPPPP

Answers

Answer: 401.50=100x=0.50

Step-by-step explanation:

a highway is to be built between two towns, one of which lies 48.6 km south and 60.3 km west of the othe

Answers

Answer:

whats the rest of the question or what's the available answers

(24d)
Part 1: Past Paper 3 H
Question No. 9:

Simplify (2x + 3)² − (2x + 3)(x - 5)
Give your answer in the form ax² +bx+c

Answers

Check the image below for working
Hope this helped :)

recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?

3 and StartFraction 1 Over 12 EndFractioncups
3 and one-fourthcups
3 and StartFraction 5 Over 12 EndFractioncups
3 and StartFraction 11 Over 12 EndFractioncups

Answers

The flour that is needed is C. 3 and StartFraction 5 Over 12 EndFractioncups

How to calculate the fraction?

The recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, the flour that will be needed will be:

= 3 2/3 - 1/4

= 3 8/12 - 3/12

= 3 5/12

Therefore, the correct option is C.

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each week, carmen earns a base pay of $35 plus 0.17 for every pamphlet that she delivers. write an equation that can be used to find how much carmen earns each week. how much will she earn the week that she delivers 300 pamphlets?

Answers

Answer:

Equation: m = 35 + 0.17p

Solution: $86

Explanation:

After writing the equation, plug in the value 300 to the variable p. You get m = 35 + 0.17(300). From there you multiply to get m = 35 + 51. Then add to get an answer of $86.

Lily replicates an experiment that found that the number of calories in a particular food is 50 kcal. She obtained data from five trials: 50 kcal, 72 kcal, 50 kcal, 12 kcal, and 50 kcal.

Which best describes her data results?

Answers

Answer:72  cal

Step-by-step explanation:

50 plus 75 is 75 cal

pls help will mark as brainliest​

Answers

Answer:

p = 11 , q = 3

Step-by-step explanation:

solution file attached

Point P is located 3/5 of the way from point A to point E. Point A is located at (-1, -1) and point P is located


at (-7,5). What are the coordinates for point E?

Answers

By using the line segment formula, we conclude that the coordinates of point E are E(x, y) = (- 11, 9).

How to determine the coordinates of the missing endpoint of a line segment

In this problem we find a line segment of which the coordinates of an endpoint and a point within the segment and in accordance with a segment ratio are known. The coordinates of the other endpoint must be found in accordance with the following expression:

E(x, y) = A(x, y) + k · [P(x, y) - A(x, y)]          (1)

Where E(x, y) is the missing endpoint.

If we know that A(x, y) = (- 1, - 1), P(x, y) = (- 7, 5) and k = 5 / 3, then the coordinates of point E are:

E(x, y) = (- 1, - 1) + (5 / 3) · [(- 7, 5) - (- 1, - 1)]

E(x, y) = (- 1, - 1) + (5 / 3) · (- 6, 6)

E(x, y) = (- 1, - 1) + (- 10, 10)

E(x, y) = (- 11, 9)

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I need help asap!!!!!

Answers

The area of the composite figure is 32 mm²

How to find area of a composite figure?

The area of a composite figure can be found by summing the area of the whole shape.

Therefore, the composite figure is a parallelogram and a triangle.

area of the composite figure = area of the triangle + area of the parallelogram

area of the triangle = 1 / 2 bh

area of the triangle = 1 / 2 × 8 × 2

area of the triangle = 16 / 2

area of the triangle = 8 mm²

area of the parallelogram = bh

area of the parallelogram  = 6 × 4

area of the parallelogram = 24 mm²

Therefore,

area of the figure = 8 + 24 = 32 mm²

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Someone help me out I don’t know what I’m doing

Answers

Answer:

shesh

Step-by-step explanation:

Three angles fit around a point. Two of the angles are 155* and 53*
A) Work out the size of the third angle and give the answer in degrees.
B) Which of the words below describe the third angle?

1. Right
2.Obtuse
3.Acute
4.Reflex

NOTE: This is a repost

Answers

Answer:

I'm for sure it's  #4. Reflex

Step-by-step explanation:

Calculator Bookwork code: N57 allowed Three angles fit around a point.

The angle will be 152. The angle will be obtuse. The correct option is 2.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Given that three angles fit around a point. Two of the angles are 155° and 53°. The angles will be calculated as,

Angle = 360 - 155 - 53

Angle = 152°

An angle with a measure greater than 90 degrees is called an obtuse angle. Here the angle is greater than 90 degrees so the angle will be obtuse.

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The car will use how much
gallons of gas to travel 1,155 miles

Answers

Answer: It will travel for 38.5 to 57.75 miles

Step-by-step explanation:

1) One gallon of gas will travel for at least 20-30 miles

Where 1155 miles will use 38.5 gallons or 58 gallons of gas

If its helpful please like thank you

You saw 5 flying saucers. each flying saucer had 5 aliens. each alien had 5 eyes. how many alien eyes were there altogether?

Answers

Answer:

125 alien eyes.

Step-by-step explanation:

5 flying saucers

5 aliens/flying saucer (5x5=25 aliens)

5 eyes/alien (25x5=125 eyes)

Transform
ation
Rotation
of 900
countercl
ockwise
about th
origin
Preimage
Point
(-2,-7)
(x = ?, y = ?
)
X
Image
Point
coordinate
is
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type your
and y
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type your

Answers

After a 90° rotation counterclockwise the co-ordinate of the image is

( 7 , - 2 ).

A transformation in which the figure is rotated around a fixed point is called rotation of a graph.

Both clockwise and counterclockwise rotations are possible.The graph can be rotated 360 degrees to return to its initial position.The side length of the rotated figure is unaffected by rotation.The modified figure is equivalent to the original figure when a polygon is rotated around a fixed point.

When a given point on a graph is rotated counter clockwise 90° then the co-ordinate of the point will change accordingly.

When A( x , y) is rotated 90° the resulting image will become A'( -y , x ).

∴( - 2 , - 7 ) → ( 7 , - 2 )

Therefore the co-ordinate of the image is ( 7 , - 2 ).

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if we randomly choose names from the phone book, call them, and determine whether they are registered voters, does this process result in a random sample of voters?

Answers

The process of sampling is used is called the cluster sampling.

According to the statement

We have to find that the process of the sampling.

So, For this purpose, we know that the

Cluster sampling is a probability sampling technique where researchers divide the population into multiple groups (clusters) for research.

From the given information:

The things on which we do the survey :

if we randomly choose names from the phone book, call them, and determine whether they are registered voters.

Then

This sampling technique is used when our population is naturally divided into groups (which we call clusters).

due to this reason this sampling is called a cluster sampling.

So, The process of sampling is used is called the cluster sampling.

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what is the potential outlier in the population density data set? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,738

Answers

Check the picture below.

let's noticed the distances from one to the next value in the dataset, let's notice the distance on the last one.



1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be
sure to include units.

Answers

The mass of Jupiter can be written as 1.898 130 ×[tex]10^{6}[/tex] where 6  is a one-digit whole number which can be used to write  Jupiter's mass using a one-digit whole number times a power of 10.

The powers mean the exponential powers

Jupiter is the fifth and the largest planet in the Solar System.

The mass of Jupiter has been calculated to be 1.9 × [tex]10^{27}[/tex] kg

or this can be written as  1 898 130 yottagrams

A unit of mass equal to 1,000,000,000,000,000,000,000,000 grams. Symbol: Yg.

1 898 130 can also be written as 1.898 130 ×[tex]10^{6}[/tex] Yg

6 is a one-digit whole number that can be used to write  Jupiter's mass using a one-digit whole number times a power of 10.

The unit is yottagram

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The sum of thirteen and twice a number. Is it linear or nonlinear?
HLP

Answers

The expression for the statement "the sum of thirteen and twice a number" will be given by 13 + 2 x.

We are given a statement:

The sum of thirteen and twice a number.

We need to make an expression for the statement that is being given to us.

Now, first we will let the unknown number be x.

So, twice of a number x will be written as:

2 × x

= 2 x

Now the sum of 13 and 2 x will be written as:

13 + 2 x

Therefore, we get that, the expression for the statement "the sum of thirteen and twice a number" will be given by 13 + 2 x.

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What is the Greatest common factor of 20, 36, and 76? Show your work

Answers

Answer:

To sum up, the gcf of 76 and 20 is 4. In common notation: gcf (76,20) = 4

Answer:

GCF = 4

Step-by-step explanation:

Expand each and find numbers that each has in common:

20 = 2 x 2 x 5

36 = 2 x 2 x 3 x 3

76= 2 x 2 x 19

Then: 2 x 2 = 4

Hope this helps!

Find the value of p if the sum of negative 4
and the quantity p divided 5 is sixteen.

Answers

Answer: I think it's 84

Step-by-step explanation: [tex]\frac{-4+p}{5} = 16[/tex]

Watch help video Qasim has a bag that contains pineapple chews, lemon chews, and lime chews. He performs an experiment. Qasim randomly removes a chew from the bag, records the result, and returns the chew to the bag. Qasim performs the experiment 52 times. The results are shown below: A pineapple chew was selected 33 times. A lemon chew was selected 9 times. A lime chew was selected 10 times. Based on these results, express the probability that the next chew Qasim removes from the bag will be lemon chew as a percent to the nearest whole number. Answer: Submit Answer attempt 2 out of 2​

Answers

The probability that the next chew that Qasim will remove from the bag will be lemon chew is 0.17

What is probability ?

Probability is the chance that an event will occur or we can say the chance for how many time an event can occur describes the probability of that event .

Probability =  Preferred Outcome/Total outcome

Probability is always between 0 to 1 i.e. we can say the lowest value of probability is 0 where no outcome is preferable  and the highest value is 1 where all the outcomes are preferable outcomes.

In the question,

If Qasim performs the experiment 52 times of removing a chew from the bag the total outcome = 52

If a pineapple chew was selected 33 times. A lemon chew was selected 9 times. A lime chew was selected 10 times, the probability that  next chew Qasim will remove from the bag will be  the lemon chew  is 9/52 or 0.17 percent.

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Alisa drove from her house to the beach at a speed of 55 miles per hour. If it took her 1.8 hours to get to the beach, about how many miles away from the beach is Alisa's house?

Answers

99 miles distance  is away from the beach is Alisa's house .

What is Distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.An illustration. If an automobile drives 5 km east, then turns and drives 8 km further north, the total distance driven by the car is 13 km.

Alisa drove from her house to the beach at a speed = 55 miles per hour

Time that  took her to get to the beach   =   1.8 hours

the beach is Alisa's house =     distance   =  speed *  time

                                                                     =  55  *   1.8 ⇒  99 miles

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Help please this is missing i dont know what to doo
Sort the steps to complete the square.

Answers

Answer:

I hope this helps!

Step-by-step explanation:

Move the constant to the right side

Add [tex](\frac{b}{ 2a} )^{2}[/tex] to both sides

Rewrite as [tex]( x +\frac{b}{2a}) ^{2}[/tex]

Take the square root of both sides

Solve for x

how much larger is the combined debt of the three most populous states than of the three least populous states? Express your answer in scientific notation. Three most populous- 1.02 X 10*10 Three least populous- 1 X 10*10
NEED HELP ASAP!!!!!!!!

Answers

The combined debt of the three most populous states is -2 × 10⁹ bigger than that of the three least populous states.

What is the arithmetic operator?

Summarization, subtraction, division, and multiplication are the four fundamental mathematical operations covered under the term "arithmetic operators."

Given the combined debt of ;

Most populous = -1.02 × 10¹⁰

Least populous = -1 × 10¹⁰

Most populous - Least populous ⇒

( -1.02 × 10¹⁰) - (-1 × 10¹⁰)

⇒ -0.2 × 10¹⁰

Multiply and divide by 10

⇒ -0.2 × 10/10 × 10¹⁰

⇒ -2 × 10¹⁰/10

⇒ -2 × 10⁹

Hence "The combined debt of the three most populous states is -2 × 10⁹ bigger than that of the three least populous states".

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what is the expected number of (fair) coin flips to get three consecutive heads? what about n consecutive heads?

Answers

E(HHH)=14; E(H^N)=2 (2N–1).

Let's examine the possibilities for getting three consecutive heads on a fair coin. Let E(HHH) represent the predicted number of flips before three straight heads.

Getting three heads in a row has a 1/8 chance in scenario one. In order to simulate this situation, we would use the formula: (1/8) × 3 = 3/8. This point was reached after three flips.

The first flip is a tails in scenario two. This just increases the expected value of flips by one flip (+1), following the same rationale we used to calculate the expected number of flips with two heads. There is a 50% chance that something will happen. Therefore, we would simulate this event as:

1/2(E(HHH)+1)

Situation 3: The HT sequence appears. Because we should be thinking about occurrences that are mutually exclusive, each of these sequences is distinct from the ones that came before it. With a 1/4 chance of occurring, this particular sequence will increase the estimated number of flips by two. Thus, we would model this situation as follows:

1/4(E(HHH)+2)

Final scenario: Assume that HHT is mentioned. The probability that this particular sequence will occur is 1/8, and it increases the expected number of flips by three (we had the first two heads but then the tails requires us to start over again). Thus, we would model this situation as follows:

1/8(E(HHH)+3)

The total number of potential outcomes at this time is 1 (=(1/8) + (1/2) + (1/4) + (1/8). When we combine all of these possibilities, we get:

E(HHH)=1/8⋅3+1/2⋅(E(HHH)+1)+1/4(E(HHH)+2)+1/8(E(HHH)+3)

As a result, when we solve for E(HHH), we obtain E(HHH)=14.

I'll give a straightforward explanation of how I arrived at the general formula. If we started with just one tails in the prior scenarios, the chance was 1/2 and it would always add 1 to the anticipated number of flips. The chance of a certain sequence would change by an order of (1/2) [independent flips, each element occurring with probability 1/2] each time there was a heads before the tails, and the anticipated number of flips would rise by 1. Finally, if we got all n consecutive heads, that would equal the probability of getting HHH….T (all heads except for the tail at the end). The final word denotes the order of receiving all N heads at once.

Therefore, we can interpret this formula as equal to:

E(HN)=∑(1/2)^i⋅(E(H^N)+i)+(1/2)^N⋅(N) (from i = 1 to N)

This can be condensed to: E(HN)=2 (2N–1).

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what is the width of a parralleogram that has an area of 19.84 square feet and the length of 6.2 feet

Answers

The width of a parallelogram that has an area of 19.84 square feet and a length of 6.2 feet is 3.2 feet.

What do you mean by parallelogram?

A unique variety of quadrilateral called a parallelogram has both pairs of opposite sides parallel and equal. The illustration displays a parallelogram ABCD with the coordinates AB II CD and AD II BC. Moreover, AB = CD and AD = BC.

There are many parallelogram-like shapes and items all around us, whether they be in the form of structures, tiles, or paper. Buildings: When constructing a lot of structures, parallelograms are kept in mind. Hamburg, Germany's Dockland Office Building is a well-known example of this in real life.

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WILL GIVE YOU EXTRA POINT BY BRAINLIEST (need help asap THANKS)

Answers

This should help …….

Answer:

36 units

Step-by-step explanation:

3x + 3 + 11 x + 6 = 166  Combine like terms

14x +9 = 166  Subtract 9 from both sides

14x = 157  Divide both sides by 14

x = 11.2142857143  Round to the nearest whole number

x = 11

Now that we know x = 11 we can solve for AG

3x + 3

3(11) + 3

33 + 3

36

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