For this question, you will be asked to demonstrate how we can determine the answer without using a calculator: Kenton knows that a wall unit he bought is √107 ft long and the dimensions of the living room are 9 ft wide by 11 ft long. On which wall(s) could Kenton place this wall unit?

Answers

Answer 1

Answer:

The wall unit should be placed on the wall of length 11 ft.

Step-by-step explanation:

Given that the dimension of the room = length by width

                                                               = 11 ft by 9 ft

Applying the rule of surd to the dimensions of the room, we have:

length = 11 = [tex]\sqrt{121}[/tex] ft

width = 9 = [tex]\sqrt{81}[/tex] ft

But, the length of the wall unit = [tex]\sqrt{107}[/tex] ft

Comparing the dimensions with the length of wall unit, it can be observed that:

i. The length of the wall is greater than that of the wall unit.

ii. The width of the wall is lesser than the length of the wall unit.

Therefore, the wall unit should be placed on the wall of length 11 ft.


Related Questions

Which graph could represent this scenario?

Veron adds some flour to a partially filled bin by pouring it
in at a constant rate until the flour reaches the brim. He
stops pouring flour when the bin is full.
Which graph could represent this scenario?​

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Answer:

Linear! :)

Step-by-step explanation:

Answer:

wheres the gragh?

Step-by-step explanation:

Help find missing angles

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Answer: s=45 and r=45

At noon, a tank contained 5 in. of water. After several hours, it contained 4 in. of water. What is the percent decrease of water in the tank?

Answers

The water decreased by 50% because the water started at 8 cm and went down to 4 cm. Half of 8 is 4, or if you multiply 8 by .5, or 50%, you get 4.
I’m not for sure if this is correct, if it’s wrong I am very sorry!! I hope you have a great day :).

Answer:

20%

Step-by-step explanation:

4 is 80% of 5, so all we need to do is find out what percent is left after 80%, 20%, and then that would be how much it decreased

When the value of x is 3, what is the value of y?

Answers

Answer:

I need more info please

how to round 10.71428571 by the nearest ten.

Answers

Answer:

Well if it is rounding to the nearest 10 it is 10

but if you meant round to the nearest 10th then it is 10.7

Step-by-step explanation:

For 10 you look at the ones place if it is 0-4 round down if it is 5-9 round up so for this number round down which is 10

FOr 10.7 look at the hundredths place if it is 0-4 round down if it is 5-9 round up so for this number round down which is 10.7

Hope this helps!

Solve: 4(6x−10)=8x+40
5


25/8

5/2

0

Answers

Answer:

5

Good Luck!!!

6+6-5x(4•6)=45-23x-13

Answers

The answer is X= 140
23

Consider 2^1, 2^2, 2^3, 2^4,2^5,... look for a pattern, and hence find the last digit of 2^111

Answers

Answer:

2.5961484293×10^13

Step-by-step explanation:

2^1 = 2

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

2^111 = 2.5961484293×10^13

Hope this helps! <3

Which one?
A. B. C or D? ​

Answers

Answer:

D

Hope this helped!

Happy Halloween!

SORRY THAT ITS UPSIDE DOWN BUT CAN YALL DO THIS FOR ME ITS DUE IN A HOUR

Answers

Answer: y=-6

Step-by-step explanation: I tried a few combinations and the distance was 17 if y=-6

Twinkle toes tony kick the football and it landed 100 feet from where he kicked it also reach a maximum height of 125 feet write an equation that models the path of the ball while it was in the air

Answers

Answer:

The equation that models the path of the ball is y = 5·x - 0.05·x²

Step-by-step explanation:

The given information are;

The distance the football landed from where it was kicked = 100 feet

The maximum height the football reached =  125 feet

The equation that models the path of the ball is that of the equation of parabola in vertex form, given as follows;

y = a·(x - h)² + k

Where;

(h, k) = The coordinate of the vertex (which is the coordinates of the highest point reached by the ball)

Therefore, taking the x-coordinate of the highest point reached by the ball as midpoint of the horizontal distance moved by the ball, we have;

The x-coordinate of the midpoint of the horizontal distance moved by the ball = (50, 0)

We have;

The coordinate of the highest point reached by the ball = (50, 125)

Therefore;

(h, k) = (50, 125)

Substituting the above values in the equation of the parabola gives;

y = a·(x - 50)² + 125

At x = 100, y = 0, which gives;

0 = a·(100 - 50)² + 125 = a·2500 + 125

0 = a·2500 + 125

a = -125/2500 = -0.05

Therefore, we have;

y = a·(x - h)² + k = y = -0.05 × (x - 50)² + 125 = -0.05·x² + 5·x - 125 + 125

y  = -0.05·x² + 5·x - 125 + 125 = -0.05·x² + 5·x

y =  -0.05·x² + 5·x

The equation that models the path of the ball is y =  -0.05·x² + 5·x.

help me quickly. ratioss​

Answers

Answer:

8

Step-by-step explanation:

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours. What is the cost of renting the canoe for 6 hours?

Answers

Answer:

use slope intercept form to write the equation   y=mx+b   m (slope of the line) will be the hourly fee, and b (y-intercept) will be the one-time transportation fee.

y=30x+20

to find the cost of renting a canoe for 6 hours, plug 6 into the equation replacing x

y=(30×6)+20

y=180+20=$200

Sorry, I can't graph the line, but I would number the x-axis of the coordinate plane (graph) by 1s or 2s (for the hours), and the y-axis by 20s (for the cost

Step-by-step explanation:

Simplify by combining like terms 7xy - xy + 3xy

Answers

Answer:

9xy

Step-by-step explanation:

please solve this, u get 25 points

Answers

Answer:

0-22

2-36

4-50

6-64

8-78

hope it helps!

-45 divided by 9 , show your work

Answers

Answer:

9 can go into -45  5  times becuase 5 times 9 is 45 but because it is a negative number the answer will be -5 because a negative and a positive =a negative does this help? :)

Step-by-step explanation:

Help ASAPPP PLEASE AND THANK YOU

Answers

Answer:

D

Step-by-step explanation:

the right equation is the one on D

Given the system of equations below, Identify the number of solutions.

x + 9y = 1

2x + 18y = -16

Question 3 options:

No Solution


Infinitely Many Solutions


3 Solutions?


One Solution

Answers

Answer:

no solution

Step-by-step explanation:

u can see: 2x + 18y = -16

              => x + 9y = -8

but x + 9y =1

so it is unreasonable

12= 2x + 2
Solve for X​

Answers

Answer:

x=5

Step-by-step explanation:

hope you have a great day!

Answer:

x = 5

Step-by-step explanation:

minus 2 from both sides. so you get

10 = 2x.

divide by 2 on both sides to get

x = 5

Help!!!! Please!!!!!

Answers

Answer:

j,fj,fj,fj,fj,fj,fhj,fj,fj,fj,

Step-by-step explanation:

Please help due in 30 min

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Answer:

1:4 B

Step-by-step explanation:

Answer:

1:4

Step-by-step explanation:

Find the common difference of the arithmetic sequence -8, -5, -2, ...

Answers

You’re increasing by 3

Answer:

The answer is n + 3

N= the last number

| 4r + 20 | = 28
help ASAP

Answers

Answer:

r = 2

Hope this helps and have a great day :)

And please mark me brainliest if you can :)

So the absolute values basically just make everything positive so get rid of them now. Then subtract 20 from both sides leaving 4r=8. Then divide by 4 and you get r=2

Carla can fill 5 glasses with soda every 20 seconds.
Complete the table using equivalent ratios
Glasses Seconds
5 20
12 ?
? 44

Lol I'm dumb so help

Answers

Answer:

12 glasses = 48 seconds

11 glasses = 44 seconds

The sun heats surface water through __________.

Answers

Answer: Evaporation

Step-by-step explanation: The sun heats surface water through evaporation.

A rectangular playground is 40 feet wide. Find the area of this playground, if the fence around it including the gates, is 200 feet long.

Answers

Answer:

The area is 240² ft.

Which equation describes the line parallel to y = –7x + 15 that contains P(9, –6)?

Answers

Parallel means same slope. So you have to use point slope form. (x1,y1) is (9,-6) and the slope is -7

So it would be

y-(-6)=-7(x-9)

y+6=-7x+63

Solving for y gives you

y=-7x+57

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Hi if you can answer this i'll mark u brainllest
Im really bad at mathhh :(

Answers

Answer:   I believe this is the anwser key

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

this is a true or false thing for geometry

Answers

1) False
2) If two angles are 45 degrees then they are complementary and congruent.

Explanation: Complementary angles add up to 90 degrees and congruent angles are angles that are equal. Two 45 degree angles are equal to each other and add up to 90 degrees. The first statement is false because there are many combinations of angles that add up to 90 degrees that are not the same. (30 degrees and 60 degrees)

24-10b=9 what is the missing variable equal to

Answers

Answer:

b = 1.5

Step-by-step explanation:

Lets first set up the equation:

24 - 10b = 9

Okay now lets add 10b on both sides:

24 = 9 + 10b

Now let's subtract 9 from both sides so we can get the variable b by its self:

15 = 10b

Okay now we can divide each side by 10:

1.5 = b

Answer:

24-10(1.5)=9

b = 1.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

b  =  3 /2

Decimal Form:

b =  1.5

10(1.5) = 15

24 - 15 = 9

:)

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