Think About the Process The length of a rectangle is twice the width. The area of the rectangle is 9

square units. Notice that you can divide the rectangle into two squares with equal area. How can you

estimate the side length of each square? Estimate the length and width of the rectangle.

Answers

Answer 1

Answer:

The side length of each square is 2.12 units.

The length ad width of the rectangle are 2.12 and 4.24 units

Step-by-step explanation:

Let the width of the rectangle is x,

So, the length of the rectangle is 2x.

Area of the rectangle = 9 sq. units

[tex]9 = 2x \times x[/tex] [as area = length x width]

[tex]\Rightarrow 9 = 2x^2[/tex]

[tex]\Rightarrow x^2 = \frac{9}{2}=4.5[/tex]

[tex]\Rightarrow x = 1.5\sqrt{2}=2.12[/tex] units

So, width of the rectangle, x= 2.12 units and

the llengthof the rectangle, 2x= 2 x 2.12= 4.24 units.

After division of the rectangle into two equal square, so, the area of each square will be half of the area of the rectangle.

The area of the rectangle = 9/2=4.5 square units.

Let a be the length of the sides of the square, so

Area [tex]= a^2[/tex]

[tex]\Rightarrow a^2=4.5[/tex]

[tex]\Rightarrow[/tex] [tex]a = 1.5\sqrt{2}=2.121[/tex]

Hence, the side length of each square = 2.12 units.


Related Questions

A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?

Answers

Answer:

The answer is 145 ceramic tiles

Step-by-step explanation:

$4 Divided by $581.82 = 145.455

Which graph represents the function r(x) = \-21-1
D
5
3-
2
-5 - -
-5 -5 -3
1
5-5-3-2-117
3
4
1
61
5
4
3+
2+
1+
-65 +32-1
1 2 3 4 5

Answers

Answer:

The Answer is D because of the Tab Dotch Property of equality

Step-by-step explanation:

Write the augmented matrix that represents the following system of equations.

2x + 3y – 4z = 17
-5x + 11y = -7
2x + 3 = y - 4z

Answers

::::::::/::::::::::::::::::::::::::::

PLZ HELP ME! What is this! I need help! y = -3x/5 + 2

Answers

Answer:

That is the slope intercept form

Step-by-step explanation:

Kiri has red and white roses in groups of 8. She has x groups of red roses and y groups of white roses. Which expression shows the total number of roses that Kiri has?

x over 8 + y over 8
8x + 8y
8x + y
x + 8y

Answers

x + 8y heres the answer

Three consecutive odd integers add up to 39.

Answers

Answer:

11 , 13 , and 15

Step-by-step explanation:

Answer:

11, 13, and 15.

Hope this helps! Please mark Brainliest!

Write an equivalent expression to the following: 1/2 (-6x + 8) – 7

Answers

Answer:

-3x -3

If this is not the answer you are looking for plz let me know!!!

Answer:

-6x+8=14

Step-by-step explanation:

1/2*(-6x+8)-7 |+7

1/2*(-6x+8)=7 | ÷1/2

-6x+8=14

You mean sth like this?

Simplify negative 4 over 3 divided by 2 over negative 6 . (1 point)

−4
−2
2
4

Answers

Answer:

D.) 4

Step-by-step explanation:

[tex]\frac{-4}{3}[/tex] ÷ [tex]\frac{2}{-6}[/tex]

To divide fractions, just flip the second fraction and multiply

[tex]\frac{-4}{3}[/tex] x [tex]\frac{-6}{2}[/tex] = [tex]\frac{24}{6}[/tex] = [tex]4[/tex]

can somebody help me please ​

Answers

similarity: both cross through the origin/same y intercept

difference: first is a positive graph and the second is negative

Samantha paid $10 to join an online book club. Then she paid $3 per e-book that she read. She has spent more than $40. How many e-books did she read? Show how you would set the problem up and the answer. * Your answer Submit Jer submit passwords through Google Forms. This form was created inside of River Grove School District 85.5. Report Abuse​

Answers

Answer:

13/13.3 or 10

Step-by-step explanation:

You said she paid $10 to join, if she spent at least $40, then we subtract 10, then divide 30 by 3 then you would get 10.

If we don't have to subtract and she spent around $40 on only books, it would be 13/13.3

HURRY FAST ANSWER 50 POINTS
Select the correct answer.
Which function is nonlinear?
A.
9y + 3 = 0
B.
y - 4r = 1
C.
y = 2 + 6r4
D.
r - 2y = 7
E.
r/y + 1 = 2

Answers

Answer:

C.

y = 2 + 6r^4

Step-by-step explanation:

C.

y = 2 + 6r^4

Since this exponent is raised to a power, it is non-linear

y = 2 + 6r^4

Since the exponent is raised to the power of 4, it is a non-linear

Therefore the answer is C

Hope it helps

show your work

7(x-8)=2x-31

Answers

Answer:

x=5

Step-by-step explanation:

7 (x-8)=2x-31

Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)

7x-56=2x -31

Drag the 2x over to the other subtracting it from 7x.

7x-2x-56=-31

5x-56=-31

Drag the 56 to the other side and add it to -31

5x= -31+56 (or 56-31)

5x= 25

Divide 5x from 25 to get your X

x=25/5

x=5

Hope this helps!!

HELP! 10 POINTS!! :((

Answers

Answer below.

1. 2

2. 17

3. 16

4. 4

5. 2

6. 8

7. 8

8. 10

The answer is 6 hope this helps

Jenya answered 24 out of 30 questions correctly on her math test and 21 out of 25 questions
correctly on her science test. On which test did she score higher?

Answers

Answer:

Science Test

Step-by-step explanation:

Math test:

24/30 so divide 24 by 30 to see the percentage she got, which is 80%

Science test:

21/25, same process as before, 21 divided by 25 is 84%

Therefore, she scored higher on the science test.

Edwin and Anthony are building a rectangular deck in their backyard.The Longer side is 2 more than 1/3 the perimeter. The shorter side is 1/10 of the perimeter. Know that the longer side is 9 ft longer than the shorter side. What is the Perimeter of the deck?

Answers

Answer: The perimeter is 30ft.

Step-by-step explanation:

Let's define:

L = length of the longer side.

S = length of the shorter side.

P = perimeter

we know that for a common rectangle:

P = 2*S + 2*L

We aso know that:

L = 2ft + (1/3)*P

S = (1/10)*P

L = S + 9ft.

So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)

First, we can replace the third equation in the first equation, now we have a system with only two equations:

S + 9ft = 2ft + (1/3)*P

S = P/10

Now we can replace the second equation in the first equation, and get:

P/10 + 9ft = 2ft + P/3

Now let's solve this for P.

9ft - 2 ft = P/3 - P/10

7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)

(30/7)*7ft = P = 30ft.

The perimeter is 30ft.

Determine 3 solutions to the inequality 5 > x. Show these solutions on the number line below.

Answers

Answer:

Any number less than 5 is the right answer!

Step-by-step explanation:

There's not really much to it, I hope this helped!

Write the distance from the Sun for each planet using scientific notation.
pls help me I need now like in 2 min

Answers

Answer:

The sun is 9.2549 x 10^-7 miles from the earth

NOTE: I don't know how many significant figures you are needing/given.

Step-by-step explanation:

The earth is 92.549 million miles from the sun.

92 549 000 miles from the sun.

Move the decimal place left until you're right after the first significant figure.

9.2549 x 10^-7

1.
At a deli counter, the price of a customer's order is calculated based on its weight.


Which of the variables is independent and which is dependent?

Independent
[ Select ]

Dependent
[ Select ]

can you also answer question 2

2.
Josiah is looking forward to the Randolph Jazz Festival next month and has offered to purchase tickets for all of his friends.



Which of the variables is independent and which is dependent?

Independent
[ Select ]

Dependent
[ Select ]

Answers

Step-by-step explanation:

Question 1. The Independent variable is price per weight unit.and Dependent variable is the total cost of order.

Question 2. The Independent variable is cost of a ticket, and Dependent variable is number of friends.

What is the answer to 3n/7 = 33/70

Answers

Answer: [tex]n=\frac{11}{10}[/tex]



Step-by-step explanation:

[tex]\frac{3n}{7}=\frac{33}{70}[/tex]

[tex]\frac{210n}{210}=\frac{231}{210}[/tex]

[tex]n=\frac{11}{10}[/tex]

Lol this question seems simple for a person coming from Calculus only to increase my confidence ; )

3n/7 = 33/70

So to solve this equation , all you have to do is cross multiply the fractions.

3n*70 = 33*7

210n = 231

n = 231 / 210 = 11/10

n = 11/10

Please help me. Show work

Answers

what hell there is nothings ??

Chad sells custom T-shirts with five friends. They want to make enough money so that, after splitting the earnings evenly, each person earns 40

Answers

Answer: They earned 500 bucks in total

Answer:

They want to make 200 dollars

Step-by-step explanation:

40*5=200

Write the symbolic expression in words:
PLEASE SOMEONE HELP

Answers

Answer:

The expression “32” is a symbolic term. ... This means the term has variable meaning depending on which value is substituted for x. For example, if you set x=−2, you get (−2)2, another name for 4. x2−6x+4y (mentioned above) is symbolic term with two variables.

I hope that helps im only in 8th grade so I don't fully understand it either lol

Hi hope your having a good day please answer this

19. Name the word that matches the definition given: A ratio of two quantities with different units.

A. ratio

B. unit rate

C. proportion

D. rate

Answers

Answer:

rate

Step-by-step explanation:

i think it is this bc i did this and it is correct

Answer:

D. rate

Step-by-step explanation:

A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. An example of this can be miles per hour or g/mL.

Hope this helps! :)

Trace is at school and wants to send his homing piaeon home for his forgotten Geometry homework. If the coordinates for his home are (-5,5) and his school is at (-1,2), what is the length of his pigeon's flight directly to the house?
Answer: Length= ____ units​

Answers

Answer:

5 units

Step-by-step explanation:

From the coordinates, we have;

x1 = -5

x2 = -1

y1 = 5

y2 = 2

Now,from the distance formula, distance is;

d=√((x2 - x1)²+(y2 - y1)²)

Plugging in the relevant values, we have;

d = √((-1 + 5)²+(2 - 5)²)

d = √(16 + 9)

d = √25

d = 5

Solve for z in the proportion.

Answers

I’m not sure but I think it’s 3 too

what is the answer to f(-5)=x^2-5

Answers

Answer:

32

Step-by-step explanation:

On Monday, Dalaya had $15. On Tuesday, she bought a t-shirt for $12. On Wednesday, she found $5.50 on the street. On Friday, she found $3 in her pocket, and then she spent $8 on a cheeseburger for lunch.


Write an addition problem to represent the changing amounts of money Dalaya has.
Find the amount of money Dalaya has by the end of Friday. Show your work to justify your answer.

Answers

Answer:

15-12+5.5+3-8

 

Step-by-step explanation:

15-12=3

3+5.5=8.5

8.5+3=11.5

11.5-8=3..5

Answer:

15-12+5.50+3-8=27.50

Step-by-step explanation:

You write the equation first and then find the answer.

⚠️⚠️PLEASE ANSWER QUESTION IM ALMOST DONE WITH THISSS⚠️⚠️

Answers

Answer:

y-inter=6

slope=2/1

Step-by-step explanation:

slope is 3

y-intercept is 6

What is the value of the function at x=−2?



y=−2
y = 0

y = 2
y = 3


GRAPH ATTACHED

Answers

Answer:

y = 2

Step-by-step explanation:

When we have graph is given also one value from x and y is given then for finding the other value, We simply see the line where x = -2 is graphed and then we will see what is the value of y there.

find the DIFFERENCE between 901.28 and 375.54

Answers

Answer:

Pretty sure its 525.74

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