An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.

Answers

Answer 1

Answer:

x² + 12

48m²

Step-by-step explanation:

Find the diagram attached.

The room can be segregated into two rectangles

The area of the room = Area of bottom rectangle + area of the top rectangle

Area of the bottom rectangle = x * (x-3) = x² - 3x

Area of the top rectangle = 3* (4+x) = 12 + 3x

The area of the room = x² - 3x + 12 + 3x

Area of the room = x² + 12

Hence the algebraic expression that the architect can use to find the area of the room is x² + 12

Given x = 6m

The area of the room = x² + 12

The area of the room = 6² + 12

The area of the room = 36 + 12

The area of the room = 48m²

An Architect Is Trying Different Dimensions For The Room Shown Below. Write An Algebraic Expression The

Related Questions

a) Estimate the value of 50.75 x 0.18

Answers

Answer:9.135

Step-by-step explanation: I had have this answer

Answer:

9.135

Step-by-step explanation:

Is the relation shown in the arrow diagram a function? Justify your answer.

Alternative text


Yes. The input 0.8 and 0.4 have only one output.


Yes. Each output has only one input.


No. Each input has only one output.


No. The input 1.2 has 2 outputs.

Answers

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

Please help asap- will give brainliest:
See the image attached and choose ONE

Answers

Yellow is the correct answer, I think.
if u have desmos it will help a lot and i think it would be blue

Keesha has 12 glue bottles and 42 craft sticks.
What is the greatest number of supply bags
she can make if she puts an equal amount of
both in each bag?

Answers

Answer:

4 i believe

Step-by-step explanation:

42/12 is 3.5 so i’m guessing that it’s 3.5 bags, i could be wrong

There is a sale at your favorite clothing store. They have their jeans priced at $49.99 with a extra 20% off. How much will you pay for three pairs of jeans, not including tax? Exlpain how you got your answer.

Answers

Answer: You need to pay $119.98 for three pairs of jeans.

Step-by-step explanation:

Market price of 1 jeans = $49.99

Discount percent = 20% = 0.20

Market price for 3 jeans = 3 x ($49.99)

= $ 149.97

Discount price = 20% of (Market price for 3 jeans )

= .0.20 x ($149.97)

= $ 29.99

Price of 3 jeans after discount = (Market price for 3 jeans ) - ( Discount price)

= $ (149.97 - 29.99)

= $  119.98

Hence, you need to pay $119.98 for three pairs of jeans.

[WORTH 100 WHOLE POINTS] !!

I need it soon!!

Answers

1. 1/5
2. 3/5
3. i do not understand
4. 1/2 (even chance)

Answer:

1. 1/5    2. 3/5       4. 1/2    I dont know what 3 is

Step-by-step explanation:

If you were to roll a die one time, what is the probability of it landing on an odd number

Answers

Answer:

It's one half.

Step-by-step explanation:

There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.

Omg what kinds of questions are these do teachers really think we can tell if it’s gonna land on a odd number

PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!

Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2

Answers

Sorry if it’s wrong but i think it’s B
sorry if i got it wrong

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

Are the two given triangles similar? Show your work to support your answer.
Helpppp please

Answers

Answer:

no

Step-by-step explanation:

1 is obtuse one is acute

1. Solve each equation. a. 4x = -28 b. x - -6 = -2 C.-Y + 4 = -9 d. -3x + 7 = 1 e 25% -11 = -86​

Answers

Answer:

A,-7

B, 4

C,13

D,2

Step-by-step explanation:

A,Step 1: Divide both sides by 4.

[tex] \frac{4x}{4} = \frac{ - 28}{4} [/tex]

[tex] x = - 7[/tex]

B,Step 1: Add 6 to both sides.

x−6+6=−2+6

x = 4

C, Step 1: Regroup terms.

4−Y=−9

Step 2: Subtract 44 from both sides.

-Y=-9-4−Y=−9−4

Step 3:Simplify -9-4−9−4 to -13−13.

[tex] \frac{ - y}{1} = \frac{ - 13}{ - 1} [/tex]

Y = 13

D,Subtract 77 from both sides.

-3x=1-7−3x=1−7

2, Simplify 1-71−7 to -6−6.

-3x=-6−3x=−6

3,Divide both sides by −3.

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

4,Two negatives make a positive.

x = 6/3

x = 2.

I don't understand Question E!

I hope it helps you!

4/3 ÷ 7/8 = in khan academy

Answers

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 ​ πr 2 h. Round your answer to three decimal places.

Answers

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

Differentiate the equation with respect to time t, such that

[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]

To differentiate the product,

Let r² = u, so that

[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]

Then, using product rule

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]

Since [tex]u = r^{2}[/tex]

Then, [tex]\frac{du}{dr} = 2r[/tex]

Using the Chain's rule

[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]

∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]

Then,

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

Now,

From the question

[tex]\frac{dr}{dt} = 7 m/min[/tex]

[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]

At the instant when [tex]r = 99 m[/tex]

and [tex]V = 180 m^{3}[/tex]

We will determine the value of h, using

[tex]V = \frac{1}{3}\pi r^{2}h[/tex]

[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]

[tex]180 \times 3 = 9801\pi h[/tex]

[tex]h =\frac{540}{9801\pi }[/tex]

[tex]h =\frac{20}{363\pi }[/tex]

Now, Putting the parameters into the equation

[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]

[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]

[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]

[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]

[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]

[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]

[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]

[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]

[tex]\frac{dh}{dt} = 0.021 m/min[/tex]

Hence, the rate of change of the height is 0.021 meters per minute.

I’m doing a percent equation problem and the question is blank % of $50 =$35 help me plzzzz

Answers

Answer:

70

Step-by-step explanation:

blank % of $50 =$35

Let us take x in place of blank.

x % of $50 =$35

x/100 * 50 = 35

x/2 = 35

x = 35*2

x = 70

Therefore, 70% of $50 =$35

Juan needs to simplify the fraction LaTeX: \frac{32}{52}32 52. He will need to divide the numerator and the denominator by the greatest common factor. What is the greatest common factor of 32 and 52?

Answers

Answer:

4

Step-by-step explanation:

Given the expression, 32/52

Juan need to divide the numerator and the denominator by the greatest common factor

For 32;

32 = 8 * 4

For 53

52 = 13 * 4

Find the ratio

32/52 = (8*4)/(13*4)

32/52 = 8/13

Since 4 is common to both factors, Hence the greatest common factor is 4

What is the product of 7/10 and 3 2/3?

1 3/5

1 13/15

2 17/30

3 7/15

Answers

It’s c just to let u know cause 3 is not 7/15

Which expression is equivalent to -44
PLease asap 12 points please dont just take them

Answers

Answer:

|44|

Those are not Ones, those are the straight lines you can type using the Shift key and the key underneath the Backspace :)

Step-by-step explanation:

-44 is 44 places away from zero, and |44| is also 44 places away from zero. For those who are wondering, this symbol: | if is placed around a certain number, the positive or negative effect on that number is taken away, and the number is just thought as of that many spaces away from zero. EX: -9 => |9| is now not negative

Answer:

One equation is -22+-22

11) Stephanie makes $ 50 a week babysitting. She spends $ 25, saves $ 15, and uses the rest to pay off a $ 100 loan from her brother. After six weeks, how much has Stephanie spent, how much has she saved, and how much still owes her brother?

Answers

Answer:

She saved 90 dollars and she owes her brother 40 still.

Step-by-step explanation:

120% of __________ is 78

Answers

120% of 65 is 78.

This means that 120 times what equals 78.

120*65=78

Answer:

65

Step-by-step explanation:

Which pair of triangles MUST be similar?



A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.

B. Triangles 1 and 2 each have a 40 degree angle.

C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.

D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.

Answers

Answer:

C

Step-by-step explanation:

The total measurement of a triangle is 180

Triangle 7 has a 40 degree angle and 35 degree angle.

40+35=75

180-75=105

Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8

What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}

Answers

Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

HOLA IM DORA AND IM GONNA NEED YOUR HELP FIGURING OUT THIS EQUATION?..... MUCHAS GRACIAS. what are the x-intercepts of the graph of y=x^2+5x+6?

A. (-2,0) and (-3,0)

B. (6,0) and (5,0)

C. (2,0) and (3,0)

D. (-6,0) and (-5,0)

Answers

Answer:

D

Step-by-step explanation:

yeah

Which fraction names the shaded part of the set?

Answers

It would be 4/12 which is equal to 1/3.

The answer is 1/3

The fraction of the shaded part of the set is 1/3.

Given is a figure in which there are total 12 parts with 4 parts shaded.

We need to find the fraction of the shaded part of the set,

To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.

In this case, the total number of parts is 12, and the number of shaded parts is 4.

Therefore, the fraction of the shaded part can be calculated as follows:

Fraction of shaded part = Number of shaded parts / Total number of parts

Fraction of shaded part = 4 / 12

Simplifying the fraction, we get:

Fraction of shaded part = 1 / 3

So, the fraction of the shaded part of the set is 1/3.

Learn more about fraction click;

https://brainly.com/question/10354322

#SPJ6

Plz help this is worth 30 points

Answers

Answer:

Choice A

Step-by-step explanation:

y
What is the equation of the graphed line written in
standard form?
3
2+
1
X=-3
y=-3
O x + y = -3
Ox-y=-3
1 2 3 4 5 X
54-3-2-14
2
-3
N
4

Answers

Answer:

A) x = -3

the line is undefined

The equation of the graphed line written in slope-intercept form is x = -3

What is the Slope-Intercept form?

The graphed line in slope-intercept form, y = mx + b

To Convert it into the standard form of the equation, ax + by = c.

Consider that the points be (0, 3) and (5,0).

A Slope exists how many units it brought to go vertically or horizontally.

Which Slope doesn't exist.

The y-intercept in slope-intercept form, y = mx + b  

where, m = undefined

x = -3

Therefore, the correct answer is option (A), x = -3 because the line is undefined.

To learn more about slope-intercept form

brainly.com/question/12005129

#SPJ7

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 333 chaperones for a field trip with 242424 students.

Answers

Answer: See explanation

Step-by-step explanation:

Here is the complete question:

A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.

A. Students: 72

Minimum of chaperones: 9

B. Students: 16

Minimum of chaperones: 2

C. Students: 60

Minimum of chaperones: 6

D. Students: 45

Minimum of chaperones: 5

E. Students: 40

Minimum of chaperones: 8

Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.

We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:

Students: 72

Minimum of chaperones: 9

This will be: 72/9 = 8

Therefore, this is correct.

B. Students: 16

Minimum of chaperones: 2

This will be: 16/2 = 8

This is correct

C. Students: 60

Minimum of chaperones: 6

This will be: = 60/6 = 10.

Therefore, this is wrong

D. Students: 45

Minimum of chaperones: 5

This will be 45/5 = 9

Therefore, this is wrong.

E. Students: 40

Minimum of chaperones: 8

This will be: 40/5 = 8.

Therefore, this is wrong.

Therefore, options A and B are correct.

If ∠1≅∠2, then ___...

a) ∠5≅∠6, angle 5 is congruent to angle 6

b) ∠3≅∠4, angle 3 is congruent to angle 4

c) XK≅YK

d )GK≅HK

e)All of the above are true

Answers

Answer: All of thé above

Step-by-step explanation:

1. Solve the system of equations.
2y - 3z=0
x+3y = -4
3x + 4y = 3

Answers

Answer:

1. y = 3/2z

Step-by-step explanation:

1. ,2y-3z + 3z =0 + 3z ,2y=3z, 2y/2 =3z/2=3/2z

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.

Answers

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

How to find the constant of y=3/5x

Answers

Combine 35 and x . Since the equation can be written in the form y=kx y = k x , y varies directly with x and k . The constant of variation, k , is 35 .

Answer:

3/5

Step-by-step explanation:

y=3/5x = 0                 x both sides by 5

5y-3x=0                     reorder terms (community property)

-3x+5y=0

3x-5y=0                                changes the signs when you do that

#1- 2 is what percent of 16 #2- 15 is what percent of 80 #3- 38 is what percent of 200

Answers

Answer:

#1 .   12.5%

#2.   18.75%

#3.   19%

Step-by-step explanation:

2  / 16  x 100% = 12.5%

15 / 80  x 100% = 18.75

38 /200  x 100%= 19%

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Find the value of (3/4) What is the hook and topic sentence in the book "The Purple Balloon" by Annie McMahon. (You could do either the hook or the topic sentence, or both)If you have a summary for "The Purple Balloon" please tell me. IF YOU CAN MAKE PDF FILE OR COPY/PASTE THE STORY INSTEAD OF THE ANSWER I WILL GIVE BRAINLIEST!!!! I NEED THE ANSWER I HAVE 15 MINUTES LEFT!!On a high school varsity baseball team, 5 players are sophomores, 11 are juniors, and 13 are seniors. The team selects 4 honorary co-captains by drawing names from a hat. What's the probability that all 4 co-captains come from the same class? A bag contains:5 red blocks6 yellow blocks,9 blue blocks.What is the ratio of yellow blocks to total blocks?1PointsA 14/6B 14/20C 6 to 20D 6:14 A source must be cited a. Only if a direct quote is used c. There are no "musts" when it comes to citing sources b. Only if an author was listed when you found d. A source should always be cited the information Please select the best answer from the choices provided OB OC I need help with this please help My mom likes to support my efforts on the cycling team, so she is always there to watch me race. At the last race, she became so excited that she promised to buy me 4 cupcakes for every three laps I completed. I completed a whole race, a whopping 24 laps! How many cupcakes did my mom buy me? Just write a number for an answer. Glenn is an accountant who races stock cars as a hobby. This year Glenn was paid a salary of $83,000 from his employer and won $2,300 in various races. What is the effect of the racing activities on Glenn's taxable income if Glenn has also incurred $4,500 of hobby expenses this year? Whats A Sentence For Cirrhosis ? A bicycle has a listed price of $765.95 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax Included. PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!Which equation models the trend line?A. y = 1.3x + 2B. y = 1.3x + 2C. y = 1.3x 2D.y = 1.3x 2 Please I will do anything BRAINLIEST 20 POINTS Determine the measure of the unknown angle in the triangle. Which number should each side of the equation 45x=8 be multiplied by to produce the equivalent equation of x = 10?-4/51/55/45Please answer FAST!!! The Newton is the SI unit for ____.temperaturedensityweightmass The perimeter of a rectangle is 50ft. If the length is one more than twice the width,what is the length, width and area? ignore how i drew on the screen, also ill give brainliest What is the value of b in the triangle shown below?a.-4inb.4inc.+4ind.no solution X^2-x-12, please show your work so I can know how to do it. Thank you:)) Which art form uses 2-D and 3-D computer graphics to create moving images and special effects in films?