The perimeter of a rectangular room is 32m.The length of a diagonal is 8m more than than the width.Find the dimensions of the room.

Answers

Answer 1

Answer: 12m by 4m.

Step-by-step explanation: You are looking for the dimensions of the room here, also known as the length and width.

Let’s make width equal to x since we don’t know what the value is. Length is going to be x + 8 since the diagonal is 8m MORE than the width.

w = x

l = x + 8

Use the equation for the perimeter.

P = 2l + 2w

Plug in your values:

32 = 2(x + 8) + 2(x)

Now, solve for x! First start by distributing the 2:

32 = 2x + 16 + 2x

Next, add like terms:

32 = 4x + 16

Subtract 16 from both sides:

16 = 4x

Divide by 4 on both sides:

4 = x

Now we have x, but remember, x is equal to the width. We just solved for width so now we need length.

l = x + 8

Plug in your x and solve:

l = 4 + 8

l = 12

Your length is 12m and your width is 4m, therefore, the dimensions of the rectangular room are 12m by 4m.


Related Questions

What’s the answer???

Answers

The proportional relation ship would be Martins pages read. This is because if you look at the charts you find that the numbers are in patterns on this chart unlike the other. Martin reads 2 pages every 5 minutes so it is a proportional relation ship

find the value of X also show the process please​

Answers

Answer: 36

Step-by-step explanation:

A home builder needs to cover the rectangular floor of a closet with carpet. The closet is 5 yards long and 3/4 of a yard wide. How much carpet will the home builder need to cover the closet? (PLEASE HELP?)

Answers

Answer: 3 3/4s' carpets

Step-by-step explanation:

please help no links may attach files or text box explanation

the answer picked may not be the answer please dont assume​

Answers

Answer:

the rule is adding

Step-by-step explanation:

Answer:

You are right

Step-by-step explanation:

Pattern A: 0, 2, 4, 6, 8, 10

Pattern B: 0, 4, 8, 12, 16, 20

1/2 of 4 = 2

1/2 of 8 = 4

1/2 of 20 = 10

Hope this helps!

the temperature in london is -5 at midnight at midday the temperature is 10c how much did the tempeture increase by?

Answers

Answer:

the temperature increased 1.25°c per hour

In those twelve hours the total increase was 15°c

Step-by-step explanation:

Divide the total temperature increase and the total of hours

[tex]15 \div 12 = 1.25[/tex]

and that's how you get how many degrees it increased each hour from midnight to midday

One of the legs of a right triangle measures 3 cm and the other leg measures 18 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

I think the answer is 18.2 cm

if the cost of 10 books I'd Rs.300 find the cost of 4 books​

Answers

Answer:

300 divided by 10 is equal too 30

and 30 times 4 is equal too 120

The Answer is 120

Step-by-step explanation:

This scale drawing shows in enlargement in a figure what is the value of X enter your answer as a decimal

Answers

Answer:

5.6

Step-by-step explanation:

First we need to figure out how to get from 10 to 14. If we multiply 10 by 1.4, we get 14. Multiply 4 by 1.4 as well to get 5.6 for x.

Geometry (100 points) im desperate T-T

Answers

Answer:

a) 22, b) 66, c) 36, d) 18, e) 46, f) 69

Step-by-step explanation:

Use the property of centroid:

The centroid is the intersection of mediansFor each median, the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertex

Given dimensions:

AM = 44CE = 54DM = 23

Find the following:

a) FM = 1/2*AM = 1/2*44 = 22 b) A.F = AM + FM = 44 + 22 = 66c) CM = 2/3*CE = 2/3*54 = 36d) ME = 1/3*CE = 1/3*54 = 18 e) MB = 2*DM = 2*23 = 46f) DB = DM + MB = 23 + 46 = 69

Which electromagnet is the strongest?


A black bar with 5 copper colored coils around it.


A black bar with 2 copper colored coils around it.


A black bar with 7 copper colored coils around it.


A black bar with 4 copper colored coils around it

Answers

Answer:

c

Step-by-step explanation:

A black bar with 7 copper colored coils around it is the strongest.

What is an Electromagnet?

Electromagnets are defined as magnet which works through electricity.

We know permanent magnets show magnetic properties every time. We cannot alter it. But electromagnets only acts as a magnet when current passes through it. Otherwise, it is just a coiled wire.

Strength of electromagnet depends on basically two things:

First, the amount of current flowing through the wire and

Second, the number of turns of wire around the coil.

Here there are four electromagnets which are black bar with 5, 2, 7 and 4 copper colored coils around it.

Number of coils is maximum for the black bar with 7 copper colored coils around it, which results in the strongest electromagnet.

Hence, a black bar having 7 copper colored coils around it is the strongest.

To learn more about Electromagnets, click on the link given below:

https://brainly.com/question/17057080

#SPJ2

Does this graph show a function??​

Answers

Answer:

yes

Step-by-step explanation:

the function does not cross the same point of x twice.

Answer:

B.) Yes; The graph passes the vertical line test!

Step-by-step explanation:

This graph does indeed show a function! A parabola, it looks like!

A function on a graph is determined when the function passes the vertical line test, meaning no matter where you go on the function, a specific vertical line will only pass through one point!

I hope I was of assistance! #SpreadTheLove <3

A metronome uses an inverted pendulum rod to control tempo. A weight can be slid up the pendulum rod to decrease tempo, or down the pendulum rod to increase tempo. A second fixed weight is hidden inside the metronome at the base of the pendulum. The longer the distance between the two weights, the slower the tempo. This equation is used to calculate the frequency of the metronome pendulum:
[tex]f = \frac{ \sqrt{ \frac{g}{l} } }{2\pi} [/tex]
Each time the metronome's pendulum completes one back and forth cycle, it produces two ticks or beats. To calibrate the metronome for beats per minute (bpm) the manufacturer needs to know the length of the pendulum for various tempos. Solve
[tex]f = \frac{ \sqrt{ \frac{g}{l} } }{2\pi} [/tex]
for L.​

Answers

Answer:

Part 1

Multiply both sides by 2π

2πf = √(g/L)

Square both sides

4π²f²= g/L

Invert both sides

1/(4π²f²) = L/g

Multiply both side by g

g/(4π²f²) = L

We usually write an equation with the subject (L) n the left

L = g/(4π²f²)

________________________

Part 2

Using the above equation with the given values:

L = g/(4π²f²)

. .= 9.8 / (4π² x 1.6²)

. .= 0.097m (= 9.7cm)

________________________

By the way, where it says

“f=1.6 then there are 2 beats a second, or 192 beats per minute (bpm).”

this should say

“f=1.6 then there are 3.2 beats a second, or 192 beats per minute (bpm)”

Step-by-step explanation:

The values are L = g/(4π²f²) and L.= 0.097m (= 9.7cm)

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, we have,

Part 1

Multiply both sides by 2π

2πf = √(g/L)

Square both sides

4π²f²= g/L

Invert both sides

1/(4π²f²) = L/g

Multiply both side by g

g/(4π²f²) = L

We usually write an equation with the subject (L) n the left

L = g/(4π²f²)

________________________

Part 2

Using the above equation with the given values:

L = g/(4π²f²)

L.= 9.8 / (4π² x 1.6²)

L.= 0.097m (= 9.7cm)

Hence, The values are L = g/(4π²f²) and L.= 0.097m (= 9.7cm).

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

What is the equation, in point-slope form, of the line
that is perpendicular to the given line and passes
through the point (-4, -3)?

A: y + 3 = -4(x + 4)
B: y + 3 = -1/4(x+4)
C: y + 3 = 1/4(x + 4)
D: y + 3 = 4(x + 4)

Answers

Answer:

C: y + 3 = 1/4(x + 4)

Step-by-step explanation:

Perpendicular to a given line means opposite inverse of the slope...

Equation of line is: y = -4x - 3

slope in above equation is -4, perpendicular would be 1/4

Perpendicular equation of a line through P(-4, -3):

y = mx + b

-3 = 1/4(-4) + b

-3 = -1 + b

b = -2

Use perpendicular slope and the b from above to form the perpendicular equation of line:

y = 1/4x - 2

Check:

(-3) = 1/4(-4) - 2

-3 = -1 - 2

-3 = -3

Sandra pays $15.75 for every 7 movie she rents which graph models relationships with the same unit rate

Answers

There’s no graph options but I believe it would perhaps go be sevens at the bottom labeled movie number and on the side for every 7 movies it would have 15.75 on the side that is labeled price

What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now on sale for $24.99?

What is the percent change?

Answers

Answer:

50% change.

explanation:

original cost: $49.99final cost: $24.99

change: $49.99 - $24.99 = $25

[tex]\sf percent \ change: \dfrac{\$25}{\$49.99} *100 \ \ = 50 \%[/tex]

Find the area of the trapezoid.

A. 15 cm2
B.18 cm2
C.21 cm2
D. 35 cm2

Answers

Answer:

  B.  18 cm²

Step-by-step explanation:

The area of a trapezoid can be found using the formula ...

  A = 1/2(b1 +b2)h

For the given dimensions, the area is ...

  A = 1/2(7 cm +5 cm)(3 cm) = 1/2(12)(3) cm² = 18 cm²

How do you Simplify (y^12)^5

Answers

Answer:

y^60

Step-by-step explanation:

(a^b)^b= a ^ b times b

12 times 5 is 60 so it's y^60

sorry my explaination is so complicated but im confident in the answer

The diameter of a circle is 26 inches. What is the circle's area?
Use 3.14 for ​.

i will give brainliest

Answers

Answer:

530.66 inches²

Step-by-step explanation:

How do we find the radius?

The radius if 1/2 of the diameter, so 26/2 = 13 inches

How do we find the area of a circle?

The area of a circle is πr², where r = radius. We are given the radius as 13 inches, and pi is approximated to 3.14.

Solving

[tex]3.14*13^2[/tex] [tex]3.14*169[/tex] [tex]530.66[/tex]

Therefore, the answer is 530.66 inches².

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Solution:

We know that:

Diameter = 26 in.Radius = Diameter/2Area of circle = πr²

Finding the radius of the circle.

Radius = Diameter/2=> Radius = 26/2 = 13 in.

Finding the area of the circle.

Area of circle = πr²=> Area of circle = (3.14)(13²)=> Area of circle = 3.14 x 169=> Area of circle = 530.66 in²

find points and graph the line 3y=-x-3,3y=−x−3, following the instructions below.
Must solve for y first

Answers

Answer:

I attached the photo below, but two points are (0,-1), (3,-2)

Step-by-step explanation:

3y=-x-3

x|        y|

0        -1

3        -2

(1.6x10-^7)/(9.11x10^-3)

Answers

Answer:

0.0000175631 or [tex]\frac{175631}{10000000000}[/tex]

Step-by-step explanation:

[tex]\frac{(1.6)(10^{-7})}{(9.11)(10^{-3})}[/tex]

Solve Numerator

[tex](1.6)(10^{-7})=(1.6)(\frac{1}{10000000})=\frac{16}{100000000} =0.00000016[/tex]

Solve Denominator

[tex](9.11)(10^{-3})=(9.11)(\frac{1}{1000} )=\frac{911}{100000} =0.00911[/tex]

Divide

[tex]0.00000016/0.00911[/tex]

0.0000175631 or [tex]\frac{175631}{10000000000}[/tex]

1/x = 9/30000 what is x

Answers

X=10000/3 ,x=3333 1/3

write the linear equation of a line that passes through (2 5) and (2 9)

Answers

Answer:

x = 2

Step-by-step explanation:

(2, 5) and (2, 9)

Ok. First, let's find the slope using the slope formula.

[tex]m = \frac{y2-y1}{x2-x1} =\frac{9-5}{2-2} = 4/0[/tex]

4/0 is undefined.

When the slope is undefined, that means that it's a straight line going down from the x.

So the equation is just x = 2

Explain the steps taken to factor 2x^2-22x-52

Answers

Answer:

2(x−13)(x+2)

Step-by-step explanation:

2x^2-22x-52

GCF = 22

2(x ^2 ​​ −11x−26)

2(x−13)(x+2)

Write the equation of the line in slope-intercept form that passes through the following points.

(4, 7) and (1, -2)

Answers

Answer:

y= 3x - 5

Step-by-step explanation:

coordinates given: (4,7) & (1, -2)

to find m (slope) = rise/run = (y2-y1) /(x2-x1)

= ( -2-7) / (1 - 4)

= -9/-3

= 3

therefore, y=3x + b

to find b:

taken coordinate: (4,7)

y=3x + b

7=3 (4) + b

7= 12 + b

7-12 = b

-5 = b

(*the value of b will be same even if we take the other coordinate)

therefore, y = 3x -5

is this a function i would give you brainlist please helppppppppppppppp

Answers

Answer:

nope, this is not a function!

Step-by-step explanation:

a function is where each input corresponds to one output.

in the diagram, -3 corresponds to -2, 0, and 2.

this is not a function.

please check my answers. and if im wrong pls tell me how to do it. i rlly need help

Answers

Answer:

See below.

Step-by-step explanation:

1 is correct.

2 is correct.

4 should be 30%. They asked what percent of the total 6th graders chose walking. There are 10 total, and 3 chose walking. 3/10 is 30%.

5 should be 37.5%.

-hope it helps

What are the values of s and t?

Answers

Answer:

s=144

t=36

Step-by-step explanation:

you minus 180 from 36 and you get 144 for s

then you minus 180 from 144 to get t

Answer:

t = 36°

s = 108°

Step-by-step explanation:

FE and DE are congruent. This means that triangle ΔDEF is isosceles.

Base angles (∠EFD and ∠EDF) in isosceles triangles are congurent.

∠EFD is 36°. This means that ∠t is also 36°

The measure of all the angles in a triangle is 180°

[tex]36+36+x=180\\72+x=180\\x=108[/tex]

∠s = 108°

i need help asap, pls help!!​

Answers

Answer:

see below

Step-by-step explanation:

Since the triangles are congruent

<A = <X

< B = < Y

<C = < Z

That means B = Y =  90

And C = Z = 37

The sum of the angles of a triangle are 180

A+ B+ C = 180

A + 90+37 = 180

A +127 = 180

A = 180-127

A =53

A = X = 53

We also know

AB = XY

BC = YZ

AC = XZ

AB = 3  so XY =3

YZ = 4  so BC =4

XZ = 5  so AC = 5

Juan is building a set for the school musical. He has a 3 foot board that he needs to divide into 1/2 foot pieces. How many pieces will he have after he cuts the board?​

Answers

Answer: 6

Step-by-step explanation:

3 divide 1/2=3x2/1

3x 2/1=6

1/3 plus -2 1/4 equals what

Answers

Answer:

-1 11/12

Step-by-step explanation:

1/3=4/12 -2 1/4= -9/4 = -27/12

4/12 + -27/12 = -23/12

-23/12 = -1 11/12

Answer is -1.9166666667 look it up on google also
Other Questions
Antonyms 19. Laggard A. prompt B. steady C. careless D. sensible Please help me! I'm not just looking for answers, I'm honestly confused. answer please i need help The table shows yesterdays change in value of four different stocks. 2. What does the title "Close Too Soon" mean? What is closing? Why does Ha say it is toosoon"? why do you suppose California and Texas have the highest concentrations of federal employees outside of the Washington DC region? use your knowledge of geography and the location of the states on this map to guide your decisions (select all that apply) A. both states have large seaports handling petroleum and another imports each year . B. both states are important producers of agricultural products for the nation. C. both states maintain international borders.D. California headquarters the U.S air force and Texas headquarters the army. Bethany is building storage boxes. Each box will have a length of 6 feet, a width of 3 1/2 feet, and a height of 5 1/2 feet. A quart of paint covers 100 square feet. How many quarts of paint does Bethany need to buy in order to paint 5 boxes? A. 4 quarts B. 6 quartsC. 7 quartsD. 8 quarts Number of electrons for all of these even the ones with a number by them ? Will give brainlist!!!! Which number is equivalent to 25 3 22 33 In Mesopotamia, Mesoamerica, and Peru, chiefdoms were precursors to ______ states, which are states that arose on their own, not through contact with other state societies. Multiple choice question. second-generation primary chiefdom regional Divide using a common factor of three to find an equivalent fraction for 9/12 Volume isA. The amount of space an object takes upB. the amount of matter in an objectC. a measure of the pull of gravity on an objectD. a special state of matter At the same temperature, which of the following gases will effuse the slowest?A) HydrogenB) HeliumC) FluorineD) XenonE) Bromine This sculpture can be defined as aa bas-relief sculpture ba high-relief sculpture ca kinetic sculpture dan additive sculpture What would happen if acetylcholine was not removed from the synaptic cleft?. Factoring16x^5+20x^4-12x^3+24x^2 What is the equation of a vertical line passing through the point (3, -5)?Oy=-5Ox= -5O y = 3Ox=3 Who was near the top of the Aztec class structure?A the noblesB the pochtecaC the priestsD the tlatoani HEY CAN ANYONE PLS ANSWER DIS SPANISH QUESTION!!!!! When the concentration of molecules on both sides of a membrane is the same, the molecules willA move across the membrane to the inside of the cellB stop moving across the membraneC move across the membrane is both directionsD move across the membrane to the outside of the cell