The Length Of A Room is two time its breadth and breadth is two time its height If The volume of room is 512m2 what is the cost of plastering its wall at rs 5.50 per m2​

Answers

Answer 1

Answer:

Rs 2464

Step-by-step explanation:

Given:

The length of a room is 2 times its breadth and breadth is 2 times its height. The volume of the room is 512 cubic metre.

To find:

The cost of plastering it's wall at Rs 5.50 per square metre.

Solution : A/C to given data;

[tex]Length = 2 * Breadth\\L = 2 * B[/tex]---> (1) and [tex]Breadth = 2 * Height\\B = 2 * H[/tex]----> (2)

A/C to given data let, structure of room is cuboidal.

Now, we have to find out the height of the room, so we use formula of volume of the cuboid.

[tex]Volume of the room = L * B * H[from given data, and eq. {1} and eq. {2}][/tex]

[tex]512 = 2B * 2H * H[/tex]

[tex]512 = 2 * 2H * 2H * H[/tex]

[tex]512 = 4H * 2H^{2}[/tex]

[tex]512 = 8H^{3}[/tex]

[tex]H^{3} = \frac{512}{8}[/tex]

[tex]H^{3} = 64[/tex]

[tex]H = \sqrt[3]{64}[/tex]

[tex]H = 4 m[/tex]

[tex]Now, put\\ value\\ of \\H \\in \\eq. {2}[/tex]

[tex]B = 2 * H[/tex]

[tex]B = 2 * 4[/tex]

[tex]B = 8 m[/tex]

[tex]\\[/tex]Now, put value of B in eq. {1}

[tex]L = 2 * B[/tex]

[tex]L = 2 * 8[/tex]

[tex]L = 16 m[/tex]

Now, we have to find out area of the room, so we use formula of total surface area of cuboid.

[tex]Area of the room = 2*L*B + 2*L*H + 2*H*B[/tex]

[tex]Area of the room = 2 * 16 * 8 + 2 * 16 * 4 + 2 * 4 * 8[/tex]

[tex]Area of the room = 32 * 8 + 32 * 4 + 8 * 8[/tex]

[tex]Area of the room = 256 + 128 + 64[/tex]

[tex]Area of the room = 384 + 64[/tex]

[tex]Area of the room = 448 m^{2}[/tex]

Now, to find out room wall plastering cost

[tex]Room wall plastering cost = Area of the room * cost of plastering per ^{2}[/tex]

[tex]Room wall plastering cost = 448 * 5.50[/tex]

[tex]Room wall plastering cost = Rs 2464[/tex]

[tex]ence, the room wall plastering cost is Rs 2464.[/tex]


Related Questions

Jessica bought a $30 outfit for $17. What percent discount did she receive?

Answers

Answer:

Around 57%

Step-by-step explanation:

17 / 30 = .56666666...

Move two decimal places to the left;

56.66666...

Estimate: 57%

Answer:

43.33%

Step-by-step explanation:

30 - 17 = $13

% discount = 13*100 / 30

= 43.33%

you spin the spinner, flip a coin, then spin the spinner again. find the probability of the compound event. write your answer as a fraction or percent. if necessary round your answer to the nearest hundredth.
(Spinning an odd number, flipping head, then spinning yellow)

Answers

Answer:

1/9

Step-by-step explanation:

Probability is defined as the number of cases fitting a constraint divided by the number of total cases.

We will calculate the number of total cases first (bc its easier xD):

3 numbers for the first spin times 2 cases for the flip times 3 numbers for the first spin = 18 total cases.

Now, we will calculate the number of cases fitting the constraint:
For the first constraint, there are two possible ways of spinning an odd number, landing on 1 or 3.
For the second constraint there is only 1 way, which is spinning a head.
For the 3rd constraint, there is only 1 way to spin yellow.

2 * 1 * 1 = 2

Number of cases over total cases:

2/18 = 1/9

Step-by-step explanation:

we seek the probability of a combination of independent events.

since they are independent, we can simply multiply the 3 individual probabilities.

1. spin an odd number (in our case that means 1 or 3) out of the possible 3. that probabilty is therefore 2/3.

2. flipping head with a coin. so, 1 out of possible 2. that probabilty is therefore 1/2

3. spin yellow. that is 1 out of possible 3. that probabilty is therefore 1/3.

again, none of the single events is influencing the outcome of any of the other 2 events, so, the total probabilty of the combination is the product of the single probabilities :

2/3 × 1/2 × 1/3 = 2/18 = 1/9

FYI : the first single probabilty is actually the result of an "or" relationship of 2 possible results of one event :

the probabilty to get an odd number is the same as the probabilty to get 1 or to get 3. both are non-overlapping possible outcomes of one event, so we can add the individual probabilities for the result.

each possible outcome has the probabilty of 1/3, so the "or" relation has a probabilty of 1/3 + 1/3 = 2/3.

How many times does 8 go into the 12 1/2?

Answers

Answer:

1.5625

Step-by-step explanation:

rround to 2

A manager drew this box-and-whisker plot to represent the number of minutes each of the company's 360 employees took on their break.


Box-and-whisker plot ranging from 34 to 58 with ticks at increments of one half. Plot defined by points at 35, 37, 41, 49, 55


How many employees took a break that lasted between 37 and 41 minutes?


Select from the drop-down menu to correctly complete the statement.


About (blank) employees took a break that lasted between 37 and 41 minutes.

Answers

Answer:

90

Step-by-step explanation:

37 and 41 is only in the 25% percentile.  

360 X .25 = 90

Plus, I took the K12 test and got it right.

The number of employees took a break that lasted between 37 and 41 minutes is 60.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We know that;

There are 360 employees in total and that they are evenly distributed along this plot. Therefore, we can divide 360 by the width of this plot to find how many employees are represented by one unit on this plot. The width of this plot is 58 - 34 = 24 units.

So, 360 / 24 = 15

This means that for every unit on this plot, there are 15 employees who took a break with that duration.

Now we can multiply this number by the width of the box to find how many employees took a break between 37 and 41 minutes. The width of the box is 41 - 37 = 4 units. So,

15 * 4 = 60

This means that there are 60 employees who took a break that lasted between 37 and 41 minutes.

Therefore, by the unitary method the answer will be 60 employees

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ3

A right angle intersects a line at point M.

A right angle intersects a vertical line at point M and forms 3 angles. From top to bottom going clockwise, the angles are 1, 90 degrees, 2.
Which statement is true about angles 1 and 2?

They are congruent.
They are right angles.
They are complementary.
They are supplementary.

Answers

Answer:

I've attached an image showing the intersection and the angle.

Answer:

C: They are complementary

Step-by-step explanation:

We can see from the image that angle 1, angle 2 and 90° are on a straight line. We know that sum of angles on a straight line is 180°. Thus;

∠1 + ∠2 + 90° = 180°

Rearranging, we have;

∠1 + ∠2 = 180° - 90°

Thus;

∠1 + ∠2 = 90°

Now, from angle proofs in trigonometry, it states that If the non-common sides of two adjacent angles add up to 90°, then it means that the angles are complementary.

In our problem here, sum of ∠1 and ∠2 equals 90°. Also, they are the non-common sides of 2 adjacent angles. Thus, we can say that they are complementary.

Step-by-step explanation:

HELP ME OUT PLEASE!!!

4) What is the volume of the cone in terms of pi?​

Answers

Volume of the cone = 1/3 x base area x height

so

V = 1/3 x pi x r² x h = 1/3 x pi x 2² x 6 = 8 x pi

Find the Perimeter

Length - 152 cm
Breadth- 120 cm

Answers

Step-by-step explanation:

Perimeter=2(l+b)

=2(152+120)

=544 cm

After winning $73,000 on a game show, Jasmine invests the money in a fixed-rate account offering 7.2% interest
compounded semiannually. How long will it take that amount to grow to $100,000?

Answers

Answer:

139600

Step-by-step explanation:

just dived all the numbers

Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

[tex]\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}[/tex]

Sin P = 0.3

[tex]P = Sin^{-1} 0.3\\[/tex]

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

g[f(x)] if g(x) = x2 and f(x) = x + 3.

Answers

(x+3)2
you need to substitute x in function g(x) with the entire function of f(x)

Which represents the inverse of the function f(x) = 4x?

Answers

AnswerAnswerAnswerAnswer:

the answer is  D h(x) = 1/4 x

Step-by-step explanation:

Have a great day!

A brainliest would help!

If it’s 5 pm what time will it be in 27 hours

Answers

Answer:

8:00 PM

Note that any blue dots represent a new day.

What are the solutions to the equation 30/x=6

Answers

Answer:

the answer will be 5

Step-by-step explanation:

30/x=630=6×x 30/6 =x (where 6×5 =30 )so, x=5

The equation to model Exponential Growth is:
y= a(1+r)*
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 2 (1 point)
You have been gotten a job offer and the company wants to start you out at $45,000
and will give you a 5% raise every year. Write an equation you could use to
determine how much you would be making after x number of years.

Answers

Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

How to model the salary growth?

The model of the exponential growth is given as:

y = a(1 + r)^x

From the question, we have:

Initial salary, a = 45000

Raise, r = 5%

So, the equation becomes

y = 45000(1 + 5%)^x

Evaluate the sum

y = 45000(1.05)^x

Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

Read more about exponential functions at:

https://brainly.com/question/11464095

Horatio weighs three times as much as Kimberly and together they weigh a total of 95

Answers

Answer:
option A:
h = 3k
h + k = 95

Step-by-step explanation:

let Horatio's weight be 'h' and Kimberly's weight be 'k'.

If
Horatio weighs three times as much as Kimberly
Then
h = 3k

Also if
together they weigh a total of 95
Then
h + k = 95

Therefore option A is correct.
Hope that helps...

The graph shows the amount of caffeine left in the body after drinking a 20-ounce soft drink with 90 milligrams of caffeine. Which of the following exponential equations best fits the data?
y=90(2)^
y=2(90)^x
y=0.5(90)^x
y=90(0.5)^x

Answers

Answer:

y=90(0.5)^x

The y-intercept is (0,90), so when x=0, y should be 90.

By replacing x=0 in all equations you get;

1)

y=90(2)^0 =90 accepted

2)

y=2(90)^0 =2 rejected

3)

y=0.5(90)^0 =0.5 rejected

4)

y=90(0.5)^0 =90 accepted

Since this is an exponential decrease,

y=90(2)^x is rejected.


talyn is riding her bike down the street at
a speed of 15 m/s. If it takes talyn seconds to
get to the end of the streets then how far was the street?

Answers

Step-by-step explanation:

1 kilometer

thank you very much

Diana can earn money for the tickets she sells. Which of the following statements describes the variables in this situation correctly?

The amount of money earned is the independent variable because it affects the number of tickets sold.
The amount of money earned is the dependent variable because it affects the number of tickets sold.
The number of tickets sold is the independent variable because it affects the amount of money earned.
The number of tickets sold is the dependent variable because it affects the amount of money earned.

Answers

Answer:

Option 3 is the correct answer.

Answer: The number of tickets sold is the independent variable because it affects the amount of money earned.

Step-by-step explanation: I just took test got 100%

The number of tickets sold is the independent variable because it affects the amount of money earned.

by how much is 5547g greater than 8837 mg​

Answers

Answer:

5 538 163

Step-by-step explanation:

convert 5547 g to mg

5547×1000=5547000mg

5547000mg-8837mg= 5 538 163mg

Answer:

5538.2

Step-by-step explanation:

convert 8837mg to g

8.8

minus that from 5538=

5538.2

3x + 5

it should be equal to 65 i just need to know how to do it

Answers

Answer:
x = 20

Step-by-step explanation:

to make 3x + 5 = 65, first you can subtract 5 from 65, then divide. 60/3, which equals 20, so x = 20

7
X
which graph represents the function 2x) - 3-2,
10
4
2 4 6 8 10
-1086
10
10
Save a
Mark this and return

Answers

Answer:

y = -6

Step-by-step explanation:

Which set shows an average of 3?
A) A
B) B
C) A and B
D) none of the above

Answers

Answer:

B

Step-by-step explanation:

bbbbbb brainless me

A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 6 revolutions? Round your answer to the nearest hundredth of an inch. this is just for anyone who is having trouble with this question and want the answer the answer to this question is 188.4 or 188.40

Answers

Answer:

226.19 in.

Step-by-step explanation:

circumference = πd

circumference = 3.14159 × 12 in.

circumference = 37.70 in.

In one revolution of the wheel, the unicycle travels a distance equal to the circumference of the wheel, or 37.70 in.

In 6 revolutions, the unicycle travels 6 times the circumference of the wheel.

6 × circumference = 6 × 37.70 in. = 226.19 in.

Answer: 226.19 in.

I = PRT

C = 2r A = r2

Answers

Answer: Calculate Total Amount Accrued (Principal + Interest), solve for A. A = P(1 + rt)

Calculate Principal Amount, solve for P. P = A / (1 + rt)

Calculate rate of interest in decimal, solve for r. r = (1/t)(A/P - 1)

Calculate rate of interest in percent. ...

Calculate time, solve for t

Step-by-step explanation:

Please answer all correctly !!

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

To convert from polar to Cartesian coordinates, recall that [tex](x,y)=(r\:cos\theta,r\:sin\theta)[/tex], thus, [tex](x,y)=(6\:cos\frac{5\pi}{6},6sin\frac{5\pi}{6})=(6(-\frac{\sqrt{3}}{2}),6(\frac{1}{2}))=(-3\sqrt{3},3)[/tex]

Therefore, C is the correct answer

Problem 2

Convert from polar to Cartesian coordinates:

[tex](x,y)=(-5\:cos\frac{2\pi}{3},-5\:sin\frac{2\pi}{3})=(-5(-\frac{1}{2}),-5(\frac{\sqrt{3}}{2}))=(\frac{5}{2},\frac{-5\sqrt{3}}{2})[/tex]

Therefore, U is the correct answer

Problem 3

Since [tex]r=\sqrt{x^2+y^2}[/tex], then [tex]r^2=x^2+y^2[/tex]. Don't also forget to use the substitution [tex]x=r\:cos\theta[/tex]:

[tex]x^2+y^2-7x=0\\\\r^2-7rcos\theta=0\\\\r(r-7cos\theta)=0\\\\r-7cos\theta=0\\\\r=7cos\theta[/tex]

Therefore, B is the correct answer

Problem 4

[tex]r=(tan\theta)(sec\theta)\\\\r=(\frac{sin\theta}{cos\theta})(\frac{1}{cos\theta})\\ \\\frac{r^2}{r}=(\frac{rsin\theta}{rcos\theta})(\frac{r}{rcos\theta})\\ \\\frac{x^2+y^2}{\sqrt{x^2+y^2}}=(\frac{y}{x})(\frac{\sqrt{x^2+y^2}}{x})\\ \\x^2+y^2=\frac{y(x^2+y^2)}{x^2}\\ \\1=\frac{y}{x^2}\\\\x^2=y[/tex]

Therefore, A is the correct answer

help me figure this out

Answers

Area of a circle
=pi Radius^2
= 3.14 x 16^2
= 3.14 x (16 x16 =256)
=3.14 x 256
=803.84

But if your aloud to use a calculator
Just type
3.14 x 16^2
=803.84



Note :
Sorry I don’t know how to edit since Brainly was updated
Hope this helps:)))

4, 5, 4, 7, 9, 4, 9 what is the mean and median

Answers

Answer:

Median: 5

Mean: 6

Step-by-step explanation:

4,4,4,5,7,9,9

(4x3)+5+7+(9x2)

12+5+7+18

17+25=42

42÷7=6

median: 5 because its in the middle
mean:

Jenna is making bracelets and necklaces to sell to raise money for the field trip her class is taking next month. If she raises more than the $108 required to go on the field trip, she will donate the additional money raised to the local animal shelter. She is selling each bracelet for $6 and each necklace for $9. She is hoping to sell at least 16 total bracelets and necklaces.

Let b represent the number of bracelets she sells, and let n represent the number of necklaces she sells.

The two lines and the four sections on the graph below represent the constraints of this situation. Which arrow points to the solution region for the system of inequalities modeled by this situation?

Answers

The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108

What is an inequality?

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let b represent the number of bracelets she sells, and let n represent the number of necklaces she sells.

Hence:

b + n ≥ 16  (1)

and:

6b + 9n > 108   (2)

The inequality for this situation is given as b + n ≥ 16 and 6b + 9n > 108

Find out more on inequality at: https://brainly.com/question/24372553

Pls help me i will give the crown thing
Question 4 Part B (2 points): Drag and
drop the units of measurement that
correctly represent the composite
function you created in part A. Click on
the image to refer back to Part A.
The composite function for part a was 20d-(80) = 67

Answers

Answer:

Given function:

t(s) = 3s + 20

where:

t(s) = number of palm trees growns = number of seeds planted

Given function:

s(d) = 20d

where:

s(d) = number of seeds planted per dayd = number of days

To determine the composite function that represents how many palm trees Carlos can expect to grow over a certain number of days, simply substitute s = 20d into t(s) = 3s + 20:

⇒ t(d) = 3(20d) + 20

⇒ t(d) = 60d + 20

The unit of measurement is how many palm trees Carlos can expect to grow over a certain number of days:

[tex]\sf \dfrac{palm \ trees}{days}[/tex]

The area of a circle is 100π in². What is the circumference, in inches? Express your answer in terms of
π.

Answers

Answer:

20π

Step-by-step explanation:

Area = πr^2

100π = πr^2

solve for r and r = 10

circumference of a circle is 2πr

therefore 2π×10=20π in

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