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

2+2+2-2x4x9x2+2+2+4+4x9+1938x3871

Answers

Answer:

7,501,904

I hope this helps!

Answer:

75020220.86 is the answer

What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.

Answers

Answer:

D

Step-by-step explanation:

The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values

[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )

x² = 39 ( take square root of both sides )

x = [tex]\sqrt{39}[/tex] → D

Answer:

D is the answer

Step-by-step explanation:

A computer downloads a movie at a constant rate. What does the slope represent?

Answers

Answer:

hope it helps you

Step-by-step explanation:

A computer downloads a movie at a constant rate. What does the slope represent? 2000

Download (megabytes)

000-

400

Time (min)

CLEAR

CHECK

Number of minutes for download completion

Downloading speed in megabytes per minute

Unit rate of minutes per megabyte

Unit rate of megabytes per movie

Answer:

Downloading speed in megabytes per minute

Step-by-step explanation:

did on ttm

write the equation x+y=6y into standard form

Answers

Answer:

x - 5y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

x + y = 6y ( subtract 6y from both sides )

x - 5y = 0 ← in standard form

Answer: x-5y=0

Step-by-step explanation:

x+y=6y

6y-y

X=5y

X-5y=0

this is the only thing i do not understand about geometry

Answers

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

------------------------------------------------------------------------

Using the tangent ratio in the right triangle

tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m

What is 5 + 100 + 300,909,786

Answers

Answer:

300909891

Step-by-step explanation:

Answer:

300,909,891

Step-by-step explanation:

Find its notation:
(x +6, y + 3)

Answers

Answer: i know the answer but i cant write it all on here

Step-by-step explanation:

Write a single transformation that maps ABC onto A' B' C'

Answers

9514 1404 393

Answer:

  Either of ...

(x, y) ⇒ (-x, -y)Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

Take your pick.

he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.

Answers

Answer:

P”Q=3PQ

Step-by-step explanation:

A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?

Answers

5 feet and the other side is 4 feet!!

At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?

Answers

140 people received something free. 40 people received a free drink and 100 people received a free bag of popcorn

Please help!!! Will mark brainliest if you show your work and the answer!

Answers

Answer: Mario

Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong

Of the 1200 responded to a survey, 456 claimed to be worried about money. What is the likelihood that a person selected at random will not be worried about money?​

Answers

There is a 62% chance that the person will not be worried about money.

Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft

Answers

Answer: the answer is no

Step-by-step explanation:

no, it is not a right triangle

Step-by-step explanation:

39 square+32.5 square=48.5 square

1,521+1056.3=2, 352.3

2577.3=2352.3

it's not the same so the result it no

what is the solution to this equation?



A. x=-4
B. x= 100
C. x= 4
D. x=-100

Answers

Answer:

             D.    x = - 100

Step-by-step explanation:

[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]


Transversal / cuts lines a, b, c, and d.
Which two lines are parallel?

Answers

Answer:

A

Step-by-step explanation:

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 \text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm} 3 1 ​ cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour.

Answers

This question is Incomplete

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 per hour. What was the depth of the snow on Cherry Street after 3 hours?

Answer:

9 cm

Step-by-step explanation:

The depth of snow = 10cm

Rate of melting = 1/3 cm per hour

1 hour = 1/3 cm

3 hours = x cm

Cross Multiply

= 3 hours × 1/3cm = 1 hour × x cm

x cm = 3 hours × 1/3cm/1 hour

x cm = 1 cm

Hence in 3 hours, 1 cm of snow would have melted.

Therefore, the depth of the snow on Cherry Street after 3 hours is

10cm - 1 cm

= 9 cm

Which of the following equations represent linear functions?

y=4(2x)−3

x2+y=1

y=2x√

y=−2

Answers

Answer:

y = 4(2x) − 3 y = −2

Step-by-step explanation:

Given functions:

y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2

Linear functions have the form of

ax + by + c = 0 or y = mx + b

Therefore functions 1. and 4. are linear functions, the other two aren't

Enter the values of h and k so that y = x2 + 6x + 10 is in vertex form.

y = (x +
)2 +

Answers

Answer:

y = (x + 3)^2 + 1

Step-by-step explanation:

100% on edge

Have a nice day :]

The equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

What is the vertex form?

The vertex form of an equation is a quadratic equation, written in the form of a parabola

The equation is given as:

[tex]y = x^2 + 6x + 10[/tex]

Write out the constant

[tex]y = (x^2 + 6x) + 10[/tex]

Take the coefficient of x

[tex]k = 6[/tex]

Divide by 2

[tex]k/2 = 3[/tex]

Square the expression

[tex](k/2)^2 = 9[/tex]

So, we have:

[tex]y = (x^2 + 6x + 9 - 9) + 10[/tex]

Rewrite as:

[tex]y = (x^2 + 6x + 9) -9+ 10[/tex]

[tex]y = (x^2 + 6x + 9) + 1[/tex]

Express as a perfect square

[tex]y = (x + 3)^2 + 1[/tex]

Hence, the equation in vertex form is [tex]y = (x + 3)^2 + 1[/tex], and the values of h & k are -3 and 1

Read more about vertex forms at:

https://brainly.com/question/26738087

PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!

Answers

Answer:

number 1 answer

a saying you have to add all the w's

b saying that you have to add 2w with 2w

c saying it is the simpliyed answer

number 2 answer

a. 2w + 20 + 2w

b. 4w + 20

number 3 we are unable to answer

Step-by-step explanation:

Kaelyn has 14 coins I have a value of $1.20. She only has dimes and nickels. How many nickels does Kaelyn have?

Answers

Answer:

10 dimes would be $1.00 and 4 nickels is $.20. That equals $1.20 and 14 coins.

Kaelyn has 4 nickels

What are the missing parts that correctly complete the proof?

Given: point P is on the bisector of ABC.

Prove: point P is equidistant from the sides of ABC.

1. BP is the bisector of ABC- given

2. ABP≈CBP- ?

3. BXP and BYP are right angles- given

4. ?- all right angles are congruent

5. BP≈BP- ?

6. BXP≈BYP- ?

7. ?- corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the sides of ABC- definition of equidistant

Answers

Answer:

Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.

This question stumped me too at first. I hope this helps!

The missing parts that correctly complete the proof are;

2) Definition of a bisector

4) ∠BXP ≅ ∠BYP.

5) Reflexive property of congruence.

6) AAS congruence theorem.

7) Corresponding sides of congruent triangles are congruent.

We are given;

Point P is on the bisector of ∠ABC.

2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.

4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.

5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.

6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.

7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.

Read more at; https://brainly.com/question/11357763

5(2x-3-4z) Use the distributive property to rewrite the expression above​

Answers

Answer:

= 10x-15-20z

Step-by-step explanation:

5 x 2=10 add the x to the end

5 x 3=15

5 x 4= 20 add the z to the end

Hope this helps (:

Answer= 10x-15-20z

Step by Step Explanation:

5(2x-3-4z) or 5•(2x-3-4z) which means the whole equation inside of the parentheses times 5; answer=10x-15-20z.

how do you evaluate cube roots and square roots( in simple words pls)

Answers

Answer:

To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.

Step-by-step explanation:

Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.

The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos

Answers

ml
ml
L.
Your welcome.

Someone please help me

Answers

To hit the bulls eye the table would read
x=3.5 y=2

5. Simplify the expression
-4(2x - 3)
ASAP NEED HELP PLS

Answers

Answer:

-8x + 12

Step-by-step explanation:

It is asking us to simplify.  Therefore, we multiply the terms. -4(2x - 3) =

- 8x + 12

Answer:

-8× + 12

Step-by-step explanation:

-4x (2x - 3) simplify

Apply the distributive property

-4 (2x) - 4 × -3

multiply 2 by -4

-8x -4 × -3

multiply -4 by -3

= -8x + 12

The ratio of berries to oranges is 10:1. If there are 25 oranges, how many berries are there?

Answers

Answer:

250 berries

Step-by-step explanation:

Berries : Oranges = 10 : 1

Let the number of berries = x

10 : 1 = x : 25

Product of means = 1*x = x

Product of extremes = 10 * 25 = 250

Product of means =  product of extremes

          x = 250

250 berries

ILL GIVE BRAINLIST IF RIGHT ASAP

Answers

Answer:

Because the side lengths of the triangles are  proportional.

Step-by-step explanation:

I took geometry.

a What fractions can you find that are equivalent to 2/3?

Answers

Answer:

4/6

Step-by-step explanation:

The fraction 4/6 is equal to 2/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (2/3) by any integer number, i.e., multiply by 2, 3, 10, 30... 4/6 is equivalent to 2/3 because 2 x 2 = 4 and 3 x 2 = 6 6/9 is equivalent to 2/3 because 2 x 3 = 6 and 3 x 3 = 9

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