A rectangle and square have the same area.
The rectangle has length 12x and width 3x.
Find the length of each side of the square.

(20 points)

Answers

Answer 1

Answer:

12x*3x=36x^2

squarelength=[tex]\sqrt{36x^2}[/tex]=6x

Step-by-step explanation:

Answer 2

Length of each side of a square is equals to 6x.

What is rectangle?

" A rectangle is a two dimensional shape whose opposite sides are parallel and congruent to each other. Each of the interior angle is of measure 90°."

What is square?

" A square is a parallelogram whose all sides are congruent to each other. Each of the interior angle is of measure 90°."

Formula used

Area of rectangle = length × width

Area of square = (side)²

According to the question,

length of a rectangle = 12x

width of a rectangle = 3x

Substitute the value in the formula we have,

Area of rectangle = 12x × 6x

                             = 36x²

As per the question,

Area of rectangle = Area of square

Therefore ,

Area of square = 36x²

⇒ (side)² = 36x²

⇒ side = 6x

Hence, length of each side of a square is equals to 6x.

Learn more about rectangle and square here

https://brainly.com/question/2272635

#SPJ2


Related Questions

Resuelve estas ecuaciones
1. x I 6 = 14
X=

Answers

Answer:

3 sjshgegegegehsksksjsjsissjs

Find the quotient of 1008 divided by 18

Answers

Answer: 56

Step-by-step explanation: Hopefully this helps!

Answer:

56, I hope this helps

GIVING BRAINLIEST TO WHOEVER ANSWERS RIGHT 20pts. stuck between first and second option.

Answers

Answer:

it would be C ;0

Step-by-step explanation:

Help me please .........

Answers

Step-by-step explanation:

x ÷ 3 - 7 = -2

x - 7 = -2 × 3

x - 7 = -6

x = -6 + 7

x = 1

Answer:x ÷ 3 - 7 = -2

x - 7 = -2 × 3

x - 7 = -6

x = -6 + 7

x = 1

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST!!!

Answers

Answer:

[tex]uw = - 4 + 2x = 11 + x - 5 \\ - 4 + 2x = x + 6 \\ 2x - x = 6 + 4 \\ x = 10 \\ \\ uw = - 4 + 2(10) = 16[/tex]

Step-by-step explanation:

ww= - 4 + 2x = 11 + x - 5

- 4 + 2x = x+6

2x - x = 6+4

x=10

ww = -4 +2(10)=16

what is the slope line ​

Answers

Answer:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

Step-by-step explanation:

I need help don't know if I did it correctly

Answers

Answer:

You have done it incorrectly It's B (2.333...) not C.

Nita finds that the expression (a + 1) 2 is sometimes, but
not always, greater in value than (a + 1) 3 when she evaluates both expressions
for the same value of a. How do you explain this finding?

Answers

I guess the expressions are supposed to be (a + 1)² and (a + 1)³.

Consider the inequality,

(a + 1)² > (a + 1)³

Move everything to one side:

(a + 1)² - (a + 1)³ > 0

Factorize the left side:

(a + 1)² (1 - (a + 1)) > 0

-a (a + 1)² > 0

a (a + 1)² < 0

Notice that the left side is exactly 0 if either a = 0 or a = -1.

Now consider the following 3 cases:

• If a < -1, then a is negative, while (a + 1)² is always non-negative, which means a (a + 1)² will always be negative.

• If -1 < a < 0, then again a is negative, so a (a + 1)² is also negative.

• If a > 0, then a (a + 1)² is always positive.

So the inequality is satisfied for all a in the interval (-∞, -1) ∪ (-1, 0). This is to say that (a + 1)² is always greater than (a + 1)³ if a is chosen from this domain.

Another way to look at this: assume a + 1 falls between -1 and 1. Whenever you scale a number between -1 and 1 by another number in the same range, the product will always be smaller than the original number.

More concretely, let's say a + 1 = 1/2. So for instance, 1/2 * 1/2 = (1/2)² = 1/4, and 1/4 is clearly smaller than 1/2. If we multipy again by 1/2, we get 1/2 * 1/2 * 1/2 = (1/2)³ = 1/8, which is smaller than 1/4.

what fraction multiplied by itself is equal to 4/25

Answers

Answer:

2/5

Step-by-step explanation:

we see that 2x2=4

and 5x5is equal to 25

so the answer is 2/5

Answer:

2/5

Step-by-step explanation:

2/5 * 2/5 = 4/25

the number that you can multiply by its self to get 4 is 2 and the number that you can multiply by its self to get 25 is 5

Help I understand but explain the steps and how you got it

Answers

Answer:

7-4 = 3

the change is 3 emails

Step-by-step explanation:

What is the image point of (0, -1) after a translation left 5 units and down 1 unit

Answers

Answer:

(-5,-2)

Step-by-step explanation:

Fraser scores 43% in a spelling test. What percentage did he get wrong?

Answers

Answer:

100-43= 57

Explanation:

So, Frazer did 57% wrong

Answer:

57% incorrect wow he should have studied better lol ;)

Step-by-step explanation:

If he SCORED 43%, than out of 100% the remaining is 57%

PLEASE I NEED HELP !!
question: Find the values of k and b if it is known that the graph of y=kx+b goes through points (2, 10) and (−7, −10).
what is k and what is b
PLEASEEEEE

Answers

Answer:

k = 20/9

b = 50/9

Step-by-step explanation:

slope intercept form: y = mx + b

given equation: y = kx + b

(-10-10)/(-7-2)

= 20/9

10= 2 x 20/9 + b

90 = 40 + b

b = 50

y = 20x/9 + 50

Dana is skating laps to train for a speed skating competition. She can skate one lap in 40 seconds.
1. Write a ratio in simplest form comparing Dana's time to her number of laps.
2. Suppose Dana skates for 20 seconds. How many laps will she skate?
3. Write a ratio of Dana's times from number 2 to her number of laps.
4. How could you simplify the ratio you wrote in 3?

Answers

Answer:

5

Step-by-step explanation:

What is it? I’m taking a math test and It for a 100 points so could y’all help me out

Answers

Answer:

A.

Step-by-step explanation:

5x100= 500

6x10= 60

7x1= 7

500+60+7= 567

Answer:

The answer is A

Step-by-step explanation:

(5*100)+(6*10)+(7*1)

500+60+7 = 567

A car travels along a straight road 100 m east then 50 m west. Find distance and displacement of the car.

Answers

Given parameters:

    First move = 100m east

    Second move  = 50m west

Unknown:

Distance = ?

Displacement  = ?

Solution:

Distance is total path length covered

Displacement is the distance in a specific direction from start to finish.

            -----------------------→

                       100m

                            ←---------

                               50m

So,

        Distance  = first move + second move  = 100 + 50  = 150m

       Displacement  = 100 - 50  = 50m due West

The regression equation y = 8.6sin(0.24x – 1.88) + 62.8 models the Fahrenheit temperature in a room x hours after midnight. What is the maximum temperature in the room during the first 24 hours?

Answers

Answer:B (57.0 F°)

Step-by-step explanation:

Answer:

71.4 (D)

Step-by-step explanation:

Edge 2020

I took the test, guessed and got it right

Have a great day everyone

Four out of 32 students in Mr. Lee’s class speak 3 languages. Which decimal represents the number of students who speak 3 languages?

Answers

Answer:

.125

Step-by-step explanation:

4 is one-eighth (1/8) of 32, which would be represented by the decimal .125 or 0.125

It has generally been believed that it is not feasible for men and women to be just friends (The New York Times, April 12, 2012). Others argue that this belief may not be true anymore since gone are the days when men worked and women stayed at home and the only way they could get together was for romance. In a recent survey, 186 heterosexual college students were asked if it was feasible for men and women to be just friends. Thirty-two percent of females and 57% of males reported that it was not feasible for men and women to be just friends. Suppose the study consisted of 100 female and 86 male students.
a. Construct a contingency table that shows frequencies for the qualitative variables Gender (men or women) and Feasible (yes or no).
b. Find the probability that a student believes that men and women can be friends.
c. If a student believes that men and women can be friends, what is the probability that this student is a male? Find the corresponding probability that this student is a female.
It has generally been believed that it is not feasible

Answers

Answer:

Step-by-step explanation:

See the attached file .

what does it mean to say that a number is a perfect square

Answers

Answer:

A perfect square is the product of a rational number multiplied by itself.

4, 9, and 16 are perfect squares

1, 2, 3, 5, 6, etc. are not perfect squares

Step-by-step explanation:

Answer:

please mark brainliest!

Step-by-step explanation:

NON-DETAILED

A number that is a perfect square is a number that can be square rooted kind of in a perfect match. Example would be 9 because it can be square rooted by 3 for 3 * 3. Another example that would not be a perfect square would be 30 because it can divided by 6 * 5 but neither one of those numbers are perfect squares.

DETAILED

A number called a perfect square means that the number has an exact squared root. In other words, the number has an squared power, which is exact.

Other way to see this, it's taking natural number 1, 2, 3, 4 then, applying the squared power to each one, the results of each squared power is what we call a perfect square. For example, 1, 4, 9, 16, 25, 36, are all perfect square, because they are the result of a squared power:

[tex]1^{2} = 1\\2^2 = 4\\3^2 = 9\\4^2 = 16\\5^2 = 25\\6^2 = 36[/tex]

Solve for x.
16 = -2x - 1
x=-7 1/2
x=-8 1/2
x=8 1/2
x=7 1/2

Answers

Answer:

x= -8 1/2

Step-by-step explanation:

Find the x - and y-intercepts of the graph of the linear equation 2x + 3y = 12.
The x-intercept is
The y-intercept is

Answers

Answer:

Y intercept = (0,4)

X intercept = (6,0)

Step-by-step explanation:

First you need to make the equation slope intercept form.

2x+3y=12

To do so, you need to get y on it's own (or on one side)

Subtract 3y from the left side.

-3y+12=2x

Then, divide everything out by -3

y-4=-2/3x

Add four to the other side

y= -2/3x +4

-2/3x= slope while 4= y intercept

You can also graph it on desmos and find the y intercept and x intercept

We want to find the x and y-intercepts of a given equation.

The solution is:

The x-intercept is x = 6 The y-intercept is y = 4

First, we start by defining what x-intercept and y-intercept are.

The x-intercept is the x-value at which the graph of the equation intercepts the x-axis, and is equivalent for the y-intercept.

So, for a given function y = f(x).

We define the y-intercept as the value of y when we define x = 0.

And we define the x-intercept as the value (or values) of x when y = 0.

Here we have:

2x + 3y = 12

So to get the x-intercept, we just need to define y = 0 and solve for x.

2x + 3*0 = 12

2x = 12

x = 12/2 = 6

To get the y-intercept, we just need to define x = 0 and solve for y.

2*0 + 3*y = 12

3*y = 12

y = 12/3 = 4

Then we can conclude:

The x-intercept is x = 6 The y-intercept is y = 4

If you want to learn more, you can read:

https://brainly.com/question/25192415

-10 - 6(2v – 8) = -82

Answers

Answer:

v = 10

Step-by-step explanation:

-10 - 6(2v-8) = -82

-10 - 12v + 48 = -82

-12v + 38 = -82

-12v = -120

v = 10

hope this helped, if you need a more in depth answer to how i did it just ask

Answer:

Hello! I hope I’m correct! :)

Step-by-step explanation:

The answer should be V = 10

First, Add 10 to both sides.

-6(2v-8) = -82+10

Next, Simplify

-6(2v-8) = -72

Than, divide both sides by -6

= -72/-6

{Note: two negatives makes a positive}

= 72/6

Simplify.

2v-8=12

Add (+) 8 to both of the sides.

2v= 12+8

Simplify 12+8 to...

2v = 20

Now, divide both sides by 2

V = 20/2

Since we have 20/2, we need to simplify (divide 20 & 2)

20 divided by 2 = 10

V = 10

Therefore the answer is v = 10

Hope this helps! If you have any questions about these steps, feel free to ask! Have a nice day! :)

~by, BrainlyAnime <3

Order and Operate these please! I will give a lot of points. Please help asap

(x +4) • 9

y + 7 + 8 – 7(x -8)

(4 – 5) + x(6 – 8)

y(4 – 8) – 3y

x + 8y – 16x(1- 3)

82 – x(4 – 8) + √25

53 – 4(y – 7y) - √81

x^2 – 4 – 5y - √36 • √144 + 23(x – 5x)

Answers

Answer:

9x+36y-7x+71-2x-1-7y33x+8y4x+6924y+116x² -92x -5y -76

Step-by-step explanation:

a) (x +4)·9 = 9x +36

__

b) y +7 +8 -7(x -8) = y +7 +8 -7x +56 = y +15 -7x +56 = y -7x +71

__

c) (4 -5) +x(6 -8) = -1 +x(-2) = -2x -1

__

d) y(4 -8) -3y = y(-4) -3y = -4y -3y = -7y

__

e) x +8y -16x(1 -3) = x +8y -16x(-2) = x +8y +32x = 33x +8y

__

f) 8² -x(4 -8) +√25 = 64 -x(4 -8) +5 = 64 -x(-4) +5 = 64 +4x +5 = 4x +69

__

g) 5³ -4(y -7y) -√81 = 125 -4(y -7y) -9 = 125 -4(-6y) -9 = 125 +24y -9 = 24y +116

__

h) x² -4 -5y -√36·√144 +23(x -5x) = x² -4 -5y -6·12 +23(x -5x)

  = x² -4 -5y -6·12 +23(-4x) = x² -4 -5y -72 -92x = x² -92x -5y -76

A 2014 Gallup survey on mental health in the United States interviewed a random sample of 173,655 American adults. The table found in the online report of the survey findings is provided.

Percent currently being treated for depression
All Americans 11
Baby boomers (1946–1964) 14
Generation X (1965–1975) 11
Traditionalists (1900–1945) 9
Millennials (1980–1996) 7

Required:
Give the marginal distribution of current depression treatment. (Enter your answers as whole numbers.)

Answers

Answer:

The  answer is "11% and 89%".

Step-by-step explanation:

Its marginal distribution of 11 percent currently starts from the given table and that is not currently considered as 89 percent.

If 5 is added to one-half of a number, the result is the same as when three-fifths of the number is decreased by 3. Find the number

Answers

Answer:

2.3

Step-by-step explanation:

is your answer

What’s 4.5 rounded to the nearest whole number

Answers

Answer: 5

Step-by-step explanation:

When the number after the point is 5 and above round up

4.5 rounded to the nearest whole number is 5.

When you round a decimal number to the nearest whole number, you are determining which whole number it is closest to.

For 4.5, you can visualize it on the number line.

The decimal number 4.5 lies exactly midway between 4 and 5.

To round to the nearest whole number, we look at the digit immediately to the right of the decimal point, which is 5.

Since 5 is greater than or equal to 5 (the midpoint), we round up to the next whole number, which is 5.

Therefore, 4.5 rounded to the nearest whole number is 5.

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ6

-6•f(-3) - 5.g(-7) =

Answers

Ah, function problems, I had this in my math class around 2-3 weeks ago. So f and g is the function here.

TO SOLVE:

Simply look at where each plot is at. f(-3) is at (0, -3). So we will substitute -3 into f(-3).

Now, our equation should look like:

-6•(-3)-5•g(-7).

We can now take a look at the function, g. We can see that g(-7) lays at (-7, 6). We only need the Y here so it will be 6. Now, plug it in:

-6•(-3)-5•6=

=18-30

=-12

So thus, -12 is the answer!

If you believe this answer helped, please rate it! Please give me your honest opinion, meaning you may give me 1/5 depending on how good I explained so I can improve it!

Round 713,923 to the nearest hundred.

Answers

Answer:

713,7923 to the nearest hundred is 713,900

1. Which size bag of cat food shown in the table has the lowest unit price?
Size (oz) Cost ($)
24
5.49
40
8.00
64
15.99

Answers

Answer:

The one that costs $15.99

Step-by-step explanation:

Divide 24/5.49=4 and something cents

Then 40/8 to get $5

Then 64/15.99 to get $4.00

The lowest price is $0.20 the size 40 oz bag cost $8.00 showing the lowest unit price.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

24 oz bag cost $5.49

Cost of 1 oz cat food = 5.49/24 = $0.228

40 oz bag cost $8.00

Cost of 1 oz cat food = 8/40 = $0.2

64 oz bag cost $15.99

Cost of 1 oz cat food = 15.99/64 = 0.2498

Thus, the lowest price is $0.20 the size 40 oz bag cost $8.00 shows the lowest unit price.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Other Questions
Can you explain why the MexicanAmerican War took place, and what happened afterward? A delivery truck driver charges a fixed base price of $6 for 2 miles. After 2 miles, he charges an additional $2 for every mile. After 6 miles, hecharges an additional S4 for every mile.Describe the cost of the delivery truck between 1 mile and 2 miles. Why was the government under the Articles of Confederation unable to resolve the issues of the new nation? Table salt is sodium chloride and has the chemical formula of NaCl. What is the ratio of sodium atoms to chlorine atoms? (8.5D)Answer 2:1B1:11:2D3:1 some people believe that students should be given a large amount of homework so that they can learn independently others disagree and think that this will be engaged in social activities rather than school work at home to what extent do you agree or disagree? A wave traveling at 50.0 m/s has a wavelength of 10.0 m. What is the frequency of the wave? Show your work below? Logan and his children went into a restaurant and where they sell drinks for $3 each and tacos for $2 each. Logan has $35 to spend and must buy at least 12 drinks and tacos altogether. If Logan decided to buy 5 drinks, determine all possible values for the number of tacos that he could buy. Match the description of a part of the respiratory system to its name.bronchi1. air passages of the lungsused for vocalization but also brings air in and out of the2.tracheaalveoli3.the smallest structure of the bronchial tree, where gases areexchangedlarynx Some believe that, although good for a distraction, too much time spent browsing favorite websites or updating social networkingaccounts can cause us to avoid ife's more important realities. Write an essay in which you discuss whether social media offerssociety anything of value or is just a worthless distraction. Which word correctly completes this conversation?Nina: ___________ dir ein MP3-Spieler oder ein Tablet-PC besser?Jrgen: Ich finde einen Tablet-PC besser. A. GerneB. LieberC. GeflltD. Mehr 1. 168 DVDs are packaged into 8 boxes. How many DVDs are there in each box?Estimate: Division Problem:Tape diagram: 7th grade help me plzzzz Ben is starting a business to wash his neighbors cars. He will earn $9.50 per car he washes, plus an additional $50 his mom gave him as a bonus. If 'y' represents total profit, and 'x' represents the cars he washes, what equation can model Ben's profit per car he washes? A. y = 50x + 9.50 B. y = 9.50x + 50 C. y = 59.50 D. y=9.50% - 50 In 1989, The Exxon Valdez, a tanker ship, ran aground and dumped 11 million gallons of oil into an area of Alaskan coastal water. How did this event affect ocean systems negatively? A.) Increased growth of algae in and around the area.B.) Modification of speed and direction of ocean currents.C.) Addition of nutrients necessary for growth of aquatic plants.D.) Death of large numbers of plants and animals. Someone please help with the last 3 please what is the supreme law of the United StatesA. The Bill of RightsB. The constitutionC. The articles of confederationD. The declaration of independence Write the equation of the piecewise function. Algebra 2 A space vehicle is coasting at a constant velocity of 22.3 m/s in the y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.277 m/s^2 in the x direction. After 46.6 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find: a. The magnitude. b. The direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the y direction. What is online school like 3 sentences Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to make a profit. It costs $10 in labor and materials to make each of his widgets. His rent each month for his factory is $4,000. He sells each widget for $25. What is the smallest number of widgets Bruce needs to sell each month to make a profit?