Please help my test is this week ;/
The perimeters of a square and a rectangle are equal. One side of the rectangle is 11 cm and the area of the square is 4 cm2
more than the area of the rectangle. Find the side of the square.


The answer is X= 9 cm or X= 13 cm

Answers

Answer 1

Step-by-step explanation:

Let x=one side of the square; y=one side of the rectangle:

The perimeters are equal, so 4x=2y+22, or y=2x-11. The areas are given by x^2, and 11(2x-11). Since the square is 4 cm^2 larger than the rectangle, we get:

x^2-4=11(2x-11)

x^2-4=22x-121

x^2-22x+117=0

(x-13)(x-9)=0

x=13, or 9

Plugging 13 into our original equation, we get a square 13X13 or 169cm^2, and a rectangle (26-11)X 11, or 165cm^2, which satisfies our requirements!!!!!!


Related Questions

Which graph doesn't belong?
A
B
C
Explain your thinking.

Answers

Answer:

C

Step-by-step explanation:

It is negative.

C because the line didn’t start at the origin

The swimming pool has 20,000 gallons of water, he drains the pool at 5 gallons per minute write an equation that represents the number of gallons of water, w, remaining in the pool after, t ,minutes

Answers

Answer:

w=(-5t)+20,000

Step-by-step explanation:

adding and subtracting matrices ​

Answers

Answer:

I NEED POINTS

Step-by-step explanation:

I'm just gonna answer this.

Tony's Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be
used to find the sale price.
175.0 23(175)
23.17523)
175 - 0230175)
23-17523)

Answers

Answer:

this doesn't make any sense.

It would be 175-(175)(0.23)

Find the value of YZ

Answers

Answer:

YZ = 44

Step-by-step explanation:

Let the intersection of XW and YZ equal A. For this problem, we can use power of a point in the scenario where two secants intersect in the interior of a circle. We get the equation:

WA * AX = ZA * AY

We can substitute the values we are given to get:

(2x - 6)(21) = (x + 1)(30)

42x - 126 = 30x + 30

12x - 126 = 30

12x = 156

x = 13

Using segment addition postulate, we can say that:

YZ = YA + AZ

And we can plug in what we know from the diagram:

YZ = 30 + x + 1

We can also plug in the value of x, 13

YZ = 30 + 13 + 1 = 44

Ayoub is driving to France for his holiday.

He will drive a total distance of 300 miles. Ayoub sets off at 07:15.

It takes him 2.5 hours to travel the first 125 miles.

Use this information to estimate the time Ayoub will arrive.

Answers

Answer:

10:30 hours

Step-by-step explanation:

Total distance=300 Miles, Start Time=07:15

Distance travelled so far is 125 miles for 2.5 hours

First we need to calculate Ayoub's speed as follows

Speed=Distance/Time

=125miles/2.5hour

=50 miles/hr

The calculate the remaining distance

=300-125

=175 Miles

Assuming that Ayoub Travels in the same speed at the first 300 miles, the time he will use to cover the remaining 175 miles is

Time=Distance/speed

Substituting the values

Time=175/50

=3.5 hours

The time he will arrive at Paris is

07:15+03:30

=10:30 hours

In case you need such assistance in your homework message Tutor David on irenedavid at g mail dot com

Question 2

First calculate the time taken to travel from woodpine to Westray

Time=Distance/ Speed

=32.5/65

=0.5 hours or 30 minutes

Next we calculate the average speed

Average speed is calculated by taking the total distance divided by total time taken

Total distance =32.5+100

=132.5KM

Total time=2+0.5

Average speed=132.5/2.5

=53km/

A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of continuous flight-time if the battery was fully charged before the flight. To test this, claim a sample of n = 10 drones were tested. The results showed a sample mean of 4.2 hours and a sample standard deviation of 0.4 hours. Conduct the hypothesis test using a 0.5 level of significance and determine whether or not the manufacturers claim is supported.

Answers

Answer:

The manufacturer's claim is not supported

Step-by-step explanation:

The time duration the battery of the foldable drone is said to last, μ = 4 hours

The number of drones that were tested, n = 10 drones

The sample mean, [tex]\overline x[/tex] = 4.2 hours

The standard deviation, s = 0.4 hours

The hypothesis test level of significance = 0.5

The null hypothesis, H₀; μ = 4

The alternative hypothesis, Hₐ; μ ≠ 4

The test statistic is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]

We get;

[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]

Therefore, the test statistic, t ≈ 1.58

The degrees of freedom, d. f. = n - 1

For n = 10, we have;

The degrees of freedom, d. f. = 10 - 1 = 9

From the t-table at 0.5 level of significance, the critical-t = 0.7

Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.

what is the interquartile range of the data shown in the box plot???
HELP

Answers

Answer: 14

Step-by-step explanation:

Take the values at either end of the box (80 and 66) and subtract.

Amy has a jar of jelly beans. In the jar there are 14 red jelly beans, 22 blue jelly beans, 12 yellow jelly beans, and 8 green jelly beans. What is the probability that amy will randomly select a red jelly, eat it, and then select a green jelly bean?

Answers

Answer: G

Step-by-step explanation:

probability of picking a red jelly first = 14/56 or 1/4

probability of picking a green jelly next = 8/55

1/4*8/55 = 2/55

I NEED HELP WITH THIS ASAP PLEASE

Answers

Answer:

25.7, hope this helps

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

Options A, C, and F

Step-by-step explanation:

A,c,f is the answer for your question

help me with my math please

Answers

B?..... I think it’s not a reflection it would be upside down .. it’s not moved half the space

Find the value of X and Y. Brainliest if you show work. Please and thank you

Answers

Answer:

x = 18, y = 7

Step-by-step explanation:

Given is the cyclic quadrilateral.

Opposite angles of cyclic quadrilateral are supplementary:

m∠U + m∠W = 18014 + 4x + 6x - 14 = 18010x = 180x = 18m∠V + m∠T = 18015y - 4 + 12y - 5 = 18027y = 189y = 189/27y = 7

U and w are opposing so supplementary

14+4x+6x-14=18010x=180x=18

Same efor V and T

15y-4+12y-5=18027y-9=18027y=189y=7

9.4 ÷ 20
SHEEEEEEEEEEEEEEEESH

Answers

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]9.4 \div 20 \\ = 0.47[/tex]

Pre calculus
Will every function have a hole? Why or why not?

Answers

Answer:

No, not every function will have a hole. This is considered a special case.          A typical function is one that can be written as a fraction of two polynomials where the denominator is not zero. In a special case (when there is a hole), a factor may appear in both the numerator and denominator.

AWARDING BRAINLIEST ASAP
What is the probability that 44 women survive

Answers

The answer is B or 0.06

A television can be bought on hire purchase with a deposit of $800 and 20 monthly installments of $275. What is the hire purchase price

Answers

Answer:

the hire purchase price is $6300 .

I think it’s the first one, am I correct?

Explain!

Answers

Answer:

yes by SAS

Step-by-step explanation:

EN = RP

EM = PQ

Angle N = Angle R

Laura is walking for a local charity She earns 75 cents for every lap she walks How much does she earn for walking 50 laps

Answers

Answer:

She earns $ 37.5  by walking 50 laps

Step-by-step explanation:

This method is called unitary method.

If we know the value of 1 unit of an item we can calculate any number of units of item.

For 1 lap she earns 75 cents.

She walks 50 laps.

She earns for 50 laps = 50*75= 3750 cents

Now we have to converts cents into Dollars for convenience.

1$ = 100 cents

3750 /100 = $ 37.5

Probability of picking 2 marbles without looking out of a bag containing 2 red marbles, 2 blue marbles, and 2 white marbles. What is the probability that you will choose a red marble and then a blue marble without replacing the red one?

Answers

Answer: 2/15

Step-by-step explanation:

2 red

2 blue

2 white

6 total

2/6 chance of getting red (1/3)

2/5 chance of getting blue next

2/5*1/3 = 2/15

I think. Sorry if I’m wrong.

1/2 2/3 3/4 the average​

Answers

Answer:

23/36

Step-by-step explanation:

Add all the numbers

1/2 + 2/3 + 3/4 = 23/12

Divide by 3

23/12 / 3 = 23/36

Can someone plz help me with this one problem plz!!!

Answers

Answer:

24, A

Step-by-step explanation:

(Length x height)÷2 = the area of a triangle

Someone help me out with this

Answers

50 m


yes yes yes yes yes

To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?

Answers

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

[tex]\frac{BC}{sinA}=\frac{AB}{SinC}[/tex]

[tex]\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}[/tex]

[tex]BC[sin(68.4)] = 646 [sin(18.6)][/tex]

[tex]BC = \frac{646*sin(18.6)}{sin(68.4)}[/tex]

[tex]BC = \frac{646 * 0.3190}{0.9298}[/tex]

[tex]BC = 221.63[/tex]

[tex]BC = 222[/tex] meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

Help .What is the measure of angle A?

Answers

Answer:

58

Step-by-step explanation:

2 x 3 x 6

(answer for points and brainliest:))

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Well

lets go left to right (but it really doesn't matter as it's only multiplication the whole way)

2*3 = 6

6*6 = 36

36 is the answer

A scale drawing of a triangular playground is shown.

What is the perimeter, in feet, of the actual playground?

A. 31.5
B. 55.5
C. 84
D. 252
ASAP

Answers

Answer:

b

Step-by-step explanation:

Answer:

it's b fs[brainliest?]

Step-by-step explanation:

N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3

Answers

Complete question :

Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.

a. Draw the girls’ rectangles, and label the lengths and widths of each.

b. What are the areas of the rectangles in square centimeters?

c. Compare the areas of the rectangles.

Answer:

Colleen = 41.667 cm²

Carolina = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Step-by-step explanation:

To start with, we determine the total number of tiles used

3 Rows of 5 ; 3 in 5 places = 15

Length of collen's square tiles : 1 2/3 = 5/3

Area of collen's square tiles = square of side length, = (5/3)² = 25/9

Area of rectangle formed = area of square * number of tiles

(25 /9) * 15 = 41.667 cm²

Length of carolina's square tiles : 3 1/3 = 10/3

Area of collen's square tiles = square of side length, = (10/3)² = 100/9

Area of rectangle formed = Area of square * number of tiles

(100/9) * 15 = 166.667 cm²

Carolina's rectangle is larger Than Collen's

Estimate
9.7 + 42.9
HURRY PLEASE <3

Answers

Answer:

52.6 or you can make it 52.5

Step-by-step explanation:

Five friends are at the movie theater.Each friend has 3/4 of the money needed to buy one bag of popcorn

Answers

Answer:

your question is incomplete but I imagine that your asking how many bags of popcorn they can buy? the answer is 3 or 15/4 depending on what your asking.

Step-by-step explanation:

(3/4)5

15/4

Answer:

3 bags your welcome! :D it's right in khan!

Step-by-step explanation:

Other Questions
why do we install doorbells in our house what is U shaped valley?social class 7 PLEASE HELP I NEED THIS TO PASS Some organisms have a large geographic range. For example, the Norway rat lives on every continent except Antarctica A population of Norway rats is the number of rats in one particular area. Do you think it's scientifically possible for a population of Norway rats in North America to carry different genetic mutations than a population of Norway rats in Africa? Do you think it's possible that they carry some of the same mutations? What types of information can scientists learn by studying the genomes of these two populations of rats? math (88 points by the way)I put transformation on the very first blank line by the way. What do you mean by technical occupations ? write with examples A submarine patrolling the Indian Ocean was situated 800 feet below sea level. If it ascends 275 feet, what is its new position relative to sea level. Please decide based on the context of the sentence whether to change the verb in parentheses to the present or past progressive.Ella____(estar) trabajando hoy. show that 7200 is not a perfect square number What is the sum of 103 and h? Pls I need help thank you I would mark brainliest Joey has 2 tens.He wants to trade the tens for ones.How many ones should Joey get? BRAINLIEST TO THE CORRECT ANSWER!!Read the prompt and claim below. Then write a body paragraph in response to the prompt and claim that contains a topic sentence, offers at least one piece of supporting evidence from the list provided, introduces and addresses the counterclaim provided, and ends with a concluding sentence.PassagePrompt:Your school district is considering removing handwriting and cursive classes from its school curriculum. Would you be in favor of such a policy?Claim:Our district should not eliminate cursive classes from its curriculum.Paragraph topic:Cursive can connect students to the past.Evidence:According to Johnson Kipling, professor of linguistics at Upton State University, "writing in cursive teaches reading cursive, and many of the foundational documents of our country are written in cursive, as are other historical documents. Looking at a typed transcript of these documents disconnects students from truly understanding them as part of history. One of history's central lessons is that times change and things evolve."A poll of our state's high school history and government teachers revealed that almost 90 percent of them use primary-source historical documents written in cursive on a regular basis.Counterclaim:Students can just look at typed versions of historical documents to get the same information. find the alternative interior angles in each figure 4. Which has a longer perimeter, a square whose side is 3 metres or a rectangle whoseside measures 2 m by 3 m? can someone answer this i follow and like A researcher studying microorganisms has discovered a strain of bacteria that doubles every 2.8 days. How many bacteria will the researcher have after 7.3 days if they started with 650 bacteria? Find the Surface Area of the figure. *1 point If the wavelength of an s-wave is 23,000 m, and its speed 4500 m/s, what is its frequency? Drag each label to the correct location on the image.Classify each zoonotic disease according to whether it is foodborne or vector-borne. The peace treaty which ended French control over Canada in 1763 was signed in: Anybody know the answer to this ??