The length of a rectangle is twice the width. The area of the rectangle is 80 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:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.


Related Questions

PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!

Answers

Answer: Domain is [1,3], Range is [304,391]

Step-by-step explanation:

Domain is just the x values the table has from lowest to highest. Period is the x values so domain is [1,3]

Range is the y values from lowest to highest the lowest y is 304 and highest is 391, so you use those two numbers to get [304,391]

The height of a small rock falling from the top of a 124-ft-tall building with an initial downward velocity of -30 ft/sec is modeled by

the equation h(t) = -16% - 30t + 124, where t is the time in seconds. For which interval of time does the rock remain in the air?

O

t = 2

-2
0
t> 2

Answers

Answer:

For the time interval 0 to 2 the ball is in the air.

Select the options according to this.

Step-by-step explanation:

The equation should be [tex]h(t)=-16t^{2} -30t+124[/tex]

Let's find the x intercepts to answer this question.

To find x intercept where the h(t) is 0.

[tex]-16t^{2} -30t+124=0[/tex]

Solve the equation for t.

Use quadratic formula to solve the equation.

a=-16

b=-30

c=124

[tex]x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}[/tex]

Plug in the values of a, b and c into the formula

[tex]x=\frac{30+/-\sqrt{(-30)^{2}-4(-16)(124) } }{2(-16)}[/tex]

Simplify it

[tex]x=\frac{30+/- \sqrt{900+7936} }{-32}[/tex]

[tex]x=\frac{30+/-\sqrt{8836} }{-32}[/tex]

[tex]x=\frac{30+/-94}{-32}[/tex]

Simplify it to get two values for x

[tex]x=\frac{30+94}{-32} =-3.875\\\\x=\frac{30-94}{-32} =2[/tex]

x can not be negative, here x represents time t.

So, it starts from 0 and remains in the air for 2 seconds.

Answer:

Yo itś C

Step-by-step explanation:

:-)

Samantha wants to buy a bicycle for $129.99. If the sales tax is 6%, what is the total amount she will pay for the bicycle?

Answers

Answer:

About $137.79

Step-by-step explanation:

Hope this helps!

Solve each system by elimination: -7x-6y=4 -3x+2y=20

Answers

Answer:

Step-by-step explanation:

-7x - 6y = 4

-9x + 6y = 60

-16x  = 64

x = -4

-3(-4)+2y=20

12+2y=20

2y=8

y =4

(-4,4)

HURRY I'M TIMED!!



What is the quotient? -4/5 divided bye 2

Answers

Answer:

-0.4

Step-by-step explanation:

Good luck!

is 0.33 rational or irrational

Answers

Answer: rational

Step-by-step explanation:

0.33\overline{3} is a rational number because it is the result we get when we divide 1 by 3, or equivalently, because it is a solution to 1=3x.

What is the correct symbol to compare the expressions?




Pls Answer

Answers

Answer:

b

Step-by-step explanation:\

when you have a nuber inside a I -7 I and a I -8 you forget about any sign and just take the number so 8 is greater then 7

Answer:

>

Step-by-step explanation:

|-8| = 8

|-7| = 7

8>7

A triangle has sides with lengths of 18 inches, 24 inches, and 30 inches. Is it a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

18^2 + 24^2 = 30^2

324 + 576 = 900

900 = 900

Yes because
a^2+b^2=c^2
18^2+24^2=30^2
324+576=900
900=900
All create a right triangle

Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.



2x + 7y = 3
x = 1 - 4y

Answers

Answer:

No solution

Step-by-step explanation:

a taxicab company charges $4.25 plus $.85 per mile. Mary Paid a fare of $12.50. Write and solve an equation to find the number of miles she traveled and describe the solution.

Pls help me!
ASAP!

Answers

(12.50 - 4.25) / 0.85 = 9.71 miles rounded

what is b^2 = 49 on khan academy

Answers

Answer:

b=7

Step-by-step explanation:

7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.

Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180' She draws a triangle and extends one of the sides through a vertex. She then draws a line through th
Vertex thai paralel to the opposite side as shown in the diagram below

Answers

Answer:

The statements that must be true are;

A. m∠1 = m∠5

B. m∠2 = m∠4

C. m∠3 + m∠4 + m∠5 = 180°

Step-by-step explanation:

The given parameters are;

The fact Katherine wants to prove = The sum of the measures of the interior angles of a triangle  = 180°

The line Katherine drew passing through the vertex = Parallel to the opposite side of the triangle

Therefore we have;

1) m∠1 and m∠5 are corresponding angles and m∠1 = m∠5 for corresponding angles of parallel lines having the same transversal

2) m∠2 and m∠4 are alternate interior angles and m∠2 = m∠4 for alternate interior angles of parallel lines having the same transversal

3) m∠3 and m∠4 and m∠5 are angles on a straight line and angles on a straight line are supplementary

∴ m∠3 + m∠4 + m∠5 = 180°, by the definition of supplementary angles

Therefore, m∠3 + m∠2 + m∠1 = 180° (substitution property)

m∠3 + m∠2 + m∠1 = Sum of interior angles of a triangle = 180°.

what is the distance between -7 and -1
Please answer ASAP!!!

Answers

Answer:

its -6

hopefully this will help you

Find the value of x in the equation below
13=x-18
Please help

Answers

Answer: x = 31

Step-by-step explanation: 13+18=31, so 31-18=13.

Answer:

x = 31

Step-by-step explanation:

-Get x alone

13 = x -  18

-add 18 to each side

x=31

WILL MARK YOU BRAINLIEST!!!!!!

Answers

Answer:

y = 88

Step-by-step explanation:

Don't worry about the other stuff, just worry about what's in the triangle that has Y.

53°, 39°, and y°

the sum should be equal to 180 so add 53 adn 39 and subtract it from 180.

180 - (53 + 39) = y

180 - 92 = y

88 = y

Hope this helped! Pls Brainliest my answer! It would help amd mean a lot! ;)

Actual roots of f(x)=2x^2+2x-24

Answers

[tex]f(x) = 2 {x}^{2} + 2x - 24 [/tex]

[tex]f(x) = 2( {x}^{2} + x - 12) [/tex]

[tex]0 = 2( {x}^{2} + x - 12)[/tex]

Divided sides by 2

[tex] {x}^{2} + x - 12 = 0 [/tex]

[tex](x + 4)(x - 3) = 0[/tex]

_________________________________

[tex]x + 4 = 0[/tex]

[tex]x = - 4[/tex]

_________________________________

[tex]x - 3 = 0[/tex]

[tex]x = 3[/tex]

Thus the actual roots are -4 and 3.....

And we're done.

♥️♥️♥️♥️♥️

Answer:

x= 3, -4

Step-by-step explanation:

Set  2 x ² +  2 x  −  24  equal to  0 .

   2 x   ² +  2 x  −  24  =  0

Solve for  x .

Factor the left side of the equation.

2 ( x²   +  x  −  12 )  =  0

Factor  

x  ² +  x  − 12  using the AC method.

2 ( x  −  3 ) ( x  +  4 )  =  0

If any individual factor on the left side of the equation is equal to  0 , the entire expression will be equal to  0 .

x − 3 = 0

x + 4 = 0

Add  3  and subtract 4 to both sides of the equation.

x = 3

x = -4

Am I right or wrong if I’m wrong please tell and with explanation

Answers

Answer:  9/20 voted

========================================================

Explanation:

Let's say there are 100 students total. You can start with any number you want, but I'm picking a large round number to work with.

3/5 of the total voted, so (3/5)*100 = 0.6*100 = 60 people voted

Of the 60 who voted, 3/4 of those went to the winning candidate.

3/4 of 60 = (3/4)*60 = 0.75*60 = 45

We have 45 people who voted for the winning candidate out of 100 total students, so,

45/100 = (9*5)/(20*5) = 9/20

Meaning that 9/20 of the student body voted for the winning candidate.

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

You could also multiply the two given fractions to get the same answer

(3/5)*(3/4) = (3*3)/(5*4) = 9/20

When multiplying, you multiply the numerators together and the denominators together. Reduce the fraction if possible.

Select the correct answer from each drop-down menu.

This image may be the result of the .
If m∠RQS is 75°, then m∠TPU is °. Select the correct answer from each drop-down menu.

Answers

Answer:

- construction of a line parallel to line AB through point P

∠TPU is 75°

Step-by-step explanation:

For Plato users

The image may be the result of the construction of a line parallel to line AB through point P

∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°

Answer:

below

Step-by-step explanation:

Got it right

-5x+9=-3x+1 i dont understand it someone please help

Answers

Answer:

x=4

Step-by-step explanation: take (possative)3x and add it to -5x. -2x+9=1. subtract 9 from 1. -2x=-8. devide bolth sides by -2. a negative devided by  a negative makes a possative soit equallls x=4

Solve for v.
- 13 = 7+5v

Answers

Answer:

Step-by-step explanation:

- 13 = 7+5v

subtract 7 on both sides to cancel out 7

- 20 = 5v

divide both sides by 5 to isolate v

- 4 = v, v is negative because negative divided by a positive will make your answer stay negative

   


ANSWER: V=4

EXPLANATION: First you would subtract 7 from both sides, then that should leave you with -20=5v divide five from both side you get the answer V=4.

(6.4 x 104) + (2.1 x 104

Answers

Answer:

884

Step-by-step explanation:

Answer:

884

Step-by-step explanation:

solve for 6.4x104 and add to 2.1x104

Jacob split the cost of snacks, which was $12.24, with two friends. Before they ate, another friend joined them and paid Jacob for his fourth of the cost.
How much does Jacob need to refund each of the other two friends so that everyone pays the same amount?

Answers

Answer:

3.06

Step-by-step explanation:

12.24/4

Answer:

4.08

Step-by-step explanation:

A baseball card collector has 225 plastic pages filled with a total of 3,375 cards.

Which rate represents the relationship between the cards and the number of pages?


15 cards per page

25 cards per page

15 pages per card

33 pages per card

Answers

15 cards per page mark me as brainliest please !!!!

Answer:

15 cards per page

Step-by-step explanation:

haven't done expressions in a while so pls help :)

Answers

Answer:

3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

Answer:3

Step-by-step explanation:

Subsitute -4 for m and 2 for p as given

( 4(2) - (-4) ) / 4

Double negatives make a positive.

( 4(2) + 4 ) / 4

Multiply inside parenthesis first

( 8 + 4 ) / 4

Add

12 / 4

3

does it pass through

Answers

What are you asking? Does what pass through ?

Which of the following best describes the number 1.234?

a. Integer
Selected:b. WholeThis answer is incorrect.
c. Irrational
d. Natural
e. Rational

Answers

Answer:

E

Step-by-step explanation:

1.234 is most definitely a rational number!!

4
Gears A and B turn together. Gear A turns 40 times when Gear B turns 60 times. When Gear A turns 160 times,
how many times does Gear B turn?
160 times
180 times
240 times
300 times

Answers

Answer:

240 times

Step-by-step explanation:

PLEASE PLEASE HELP!!!

Answers

Answer:

A. ??

Step-by-step explanation:

have a nice day and hope it helps

One-third of a number is 7. Find the number.

Answers

Answer:

21

Step-by-step explanation:

21/3 = 7

the answer to ur question is 21

On a certain​ planet, Continent X has an area of 6.23*10^6 square miles and Continent Y has an area of​ 63,600,000 square miles. How many times larger is Continent Y than Continent​ X?

Answers

Answer:

Step-by-step explanation:

Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So your answer would be 10.

I hope that helps

Answer:

Step-by-step explanation:Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So, your answer would be 10 I would have done it this way too not trying to copy(:

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