The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost of carpeting its floor at Rs. 325 per m²​

Answers

Answer 1

Answer:

Step-by-step explanation:

let the height of the room(h) = x

Length(l) = 3*x = 3x

length = 2 * breadth

breadth(b) = length /2 = 3x/2

Cost of whitewashing the 4  walls = ₹ 7200

Area of 4 walls = 7200 ÷ 50 = 144 m²   ------(I)

Area of walls = 2lh + 2bh

                      = 2*3x*x + 2  *[tex]\frac{3x}{2}[/tex] * x

                       = 6x² + 3x²

                        = 9x²

9x² = 144    {From (I)}

x²  = 144/9

x²  = 16

x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]

x = 4 m

height = 4 m

length = 3*4 = 12m

Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]

Area of floor = l*b

                    = 12 * 6

                    = 72 m²

Cost of carpeting the floor = 72 * 325 = ₹ 23400


Related Questions

lf y 1/4 · when x=5, find y when x=7. given that y varies directly with x.

y=​

Answers

Answer:

y= 0.35

Step-by-step explanation:

y 1/4

when x=5,

find y=? when x=7.

given that y varies directly with x.

y = kx

Where k is the constant of proportionality

k= y/x

k= (1/4)÷ 5

k= 0.05

y= kx

y= (0.05)(7)

y= 0.35

I Hope this will helpful...

answer
answer
asap
pls

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

An integer can be written as a fraction by giving it a denominator of one

Your classmate is unsure about how to use side lengths to determine the type of triangle. How would you explain this to your classmate?

Answers

1) Equilateral Triangles: These triangles have the same side length and same angle for all sides. Knowing this, if the side lengths given are all the same, the triangle will be classified as an equilateral triangle.

2) Isosceles Triangles: These triangles have two sides that have the same side length and one that is not the same. Given this, if the side lengths are all given, the triangle with two same sides are classified as isosceles triangle.

3) Scalene Triangles: These triangles have all sides associated with a different value. If all side lengths are given and they have different values, this triangle would classify as a scalene triangle.



Hope this helped :)

Answer:

To determine the type of triangle using side lengths, you could use the converse of the Phythagorean theorem, acute triangle inequality theorem, and the obtuse inequality theorem. For example, if the square of the longest side of a triangle is greater than the sum of the squares of the other two sides, than its obtuse. And if the square of the longest side is less than the sum of the squares of the other two sides, then it would be acute. And if the square of the longest side is equal to the sum of the squares of the two other sides, then it would be a right triangle.

Step-by-step explanation:

it marks it correct on edge and it is not a sample answer.

have a jolly day!

An isosceles triangle has one angle of 30 degrees. Calculate the possible sizes of the other 2 angles

Answers

Answer:

75 and 75

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

2 solutions:

30° is angle of the base: other angle of the base is 30° and the main angle is 180°-30°-30°=120°30° is the main angle, angles of the base are (180°-30°)/2=75° and 75°.

-3 find the value. -3 ( 2 ) ² x (4)

pls tell the answer step by step pls ​

Answers

(-2/3)^(-2) × x × (3/4)-3

(-3/2)^2 × x ×(4/3)^3

-3/2×-3/2×4/3×4/3×4/3×x

= 16/3 × x

= 16x/3

Must click thanks and mark brainliest

Please help
Solve the system of equations shown below.

Answers

Answer:

(6, 4 )

Step-by-step explanation:

Given the 2 equations

2x - 6y = - 12 → (1)

x + 2y = 14 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate x

- 2x - 4y = - 28 → (3)

Add (1) and (3) term by term to eliminate x

- 10y = - 40 ( divide both sides by - 10 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

2x - 6(4) = - 12

2x - 24 = - 12 ( add 24 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

solution is (6, 4 )

142°
3xº + 220
X =
degrees.

Answers

Step-by-step explanation:

hope it will help you market is brilliant

3x^2+5x^2+3x+1=(3x-1)(x^2+A)+B

Answers

Answer: If the question is to solve for A: A= [tex]\frac{15x+1-B}{3x-1}[/tex]

If the question is to solve for B: B= 15x+1-3xA+A

Step-by-step explanation:

A: Move terms to the left.

B: Simplify both sides.

Answer:

a=8x^2+3x+1-b/3x-1  -x^2;  xdoes not equal 1/3

Step-by-step explanation:

hope this helps

Write 1.61 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
mixed number:
improper fraction: |

Answers

Answer:

the answers would be 1 61/100 and 161/100

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

Sides = 3.2

Diagonals = 4.5

Shape = Square

Step-by-step explanation:

a) i) Distance from P to Q= 3.162278 which is approx 3.2.

So to calculate your answer you use the distance formula. The formula is the square root of (x2 - x1) + (y2 - y1).

So all sides of the shape have a length of 3.2 because the shape is a square.

DIAGONALS:

QS = 4.472136 approx 4.5

For:

(X1, Y1) = (-3, -2)

(X2, Y2) = (-1, 2)

We use the same formula for distance.

B) The shape is a square

I REALLY HOPE THIS HELPED

Convert the following as a. 2 hours to second​

Answers

1. First convert hrs into min by multiplying 60

= 2 *60=120min

2. Then multiply 60 in 120 to convert it into seconds

120*60=7200 sec

MARK AS BRANLIEST.

2x+6=3x+9-3 solve for x

Answers

Answer:

x=0

Step-by-step explanation:

2x-3x=9-3-6

-x=0

x=0

Answer:

x = 0

Step-by-step explanation:

Given

2x + 6 = 3x + 9 - 3 , that is

2x + 6 = 3x + 6 ( subtract 2x from both sides )

6 = x + 6 ( subtract 6 from both sides )

0 = x

Solve for x.
3x + 2
2x + 6
x = [?]

Answers

Answer:

4

Step-by-step explanation:

Im assuming you mean the first and second equation equal each other:

3x+2=2x+6

x=4

Can you please factor the problems below and explain/show all your steps. I will be attaching a photo with the problems as well in case they are more understandable on there. Also if you can please explain how you used the key concepts from the photo in your work if you used them.
Factor: 2a^3 + 4a^2 + 8a
Factor: 6y^4 - 294y^2
Factor: 5x^2 + 50x +125

Answers

1) The factorization is: [tex]2a(a^2 + 2a + 4)[/tex]2) The factorization is: [tex]6y^2(y - 7)(y + 7)[/tex]3) The factorization is: [tex]5(x+5)^2[/tex]

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

To factor each expression, we apply the given concepts, that is, greatest common factor, difference of squares and perfect squares.

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

Expression 1:

The expression is:

[tex]2a^3 + 4a^2 + 8a[/tex]

First, we find the gcf of the numbers 2, 4 and 8, which is 2.

Of the exponents, the gcf between 3, 2 and 1 is 1, so:

[tex]2a^3 + 4a^2 + 8a = 2a(\frac{2a^3}{2a} + \frac{4a^2}{2a} + \frac{8a}{2a}) = 2a(a^2 + 2a + 4)[/tex]

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

Expression 2:

The expression is:

[tex]6y^4 - 294y^2[/tex]

The gcf of 6 and 294 is 6.

The gcf of the exponents 2 and 4 is 4.

Thus:

[tex]6y^4 - 294y^2 = 6y^2(\frac{6y^4}{6y^2} - \frac{294y^2}{6y^2}) = 6y^2(y^2 - 49)[/tex]

Then, applying the difference of squares:

[tex]y^2 - 49 = (y - 7)(y + 7)[/tex]

Thus, the factored expression is:

[tex]6y^2(y^2 - 49) = 6y^2(y - 7)(y + 7)[/tex]

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

Expression 3:

The expression is:

[tex]5x^2 + 50x + 125[/tex]

The gcf of the coefficients, 5, 50 and 125 is 5, so:

[tex]5(\frac{5x^2}{5} + \frac{50x}{5} + \frac{125}{5}) = 5(x^2 + 10x + 25)[/tex]

Applying the perfect square, we get that:

[tex]x^2 + 10x + 25 = (x + 5)^2[/tex]

Tus, the factored expression is:

[tex]5(x^2 + 10x + 25) = 5(x+5)^2[/tex]

A similar question is given at https://brainly.com/question/11930822

1.4 (x + 5) + 1.6x = 52

Simplify <3

Answers

1.4x+7+1.6x=52
3x+7=52
3x=45
x=15

If third term of G.P. is 3, the product of its first five terms is
a) 1024 b) 243 c) 3125 d) 32 ​

Answers

Answer: 243

Third term of g.p. = ar^2 =3

General term = ar^n-1

Product of first five terms
= a^5 x r^0+1+2+3+4
= a^5 x r^10
= (ar^2)^5
=(3)^5
= 243

The system of linear equations x – y + 2 = 0 and 2x + y -14 = 0​

Answers

Answer:

(4, 6 )

Step-by-step explanation:

Given the equations

x - y + 2 = 0 ( subtract - y + 2 from both sides )

x = y - 2 → (1)

2x + y - 14 = 0 → (2)

Substitute x = y - 2 into (2)

2(y - 2) + y - 14 = 0 ← distribute and simplify left side

2y - 4 + y - 14 = 0

3y - 18 = 0 ( add 18 to both sides )

3y = 18 ( divide both sides by 3 )

y = 6

Substitute y = 6 into (1) for corresponding value of x

x = 6 - 2 = 4

solution is (4, 6 )

if you have 500 dollars and spend 20 every week then what would be the slope explain

Answers

Answer:

y=-20m+500

Step-by-step explanation:

pls help asap .........................

Answers

Answer:

40

Step-by-step explanation:

We can split this figure into two figures, a square and a trapezoid. The square, as shown has a side length of 4. That means that the area of the square is 16. The trapezoid, has base lengths of 2 and 4, and a height of 8. We can plug that into the area of a trapezoid formula:

[tex]\frac{2+4}{2}(8)[/tex]

Two plus 4 is 6, and 6 divided by 2 is 3. Three times 8 is 24.

24 plus 16 (the area of the square) is equal to 40, which is the area of the shape.

Which figure is described below?
The locus of points in a plane
equidistant between
(-5, -6) and (-5, 7).

Answers

Answer:

A.Line

Step-by-step explanation:

The locus of points in a plane equidistant between (-5, -6) and (-5, 7) is describe by the Line. so option A is correct.

What is a line segment?

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

We know that the graph of x = 5 is the vertical line through 5 on the x-axis. Two points on this line are (-5, -6) and (-5, 7).

We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant between (-5, -6) and (-5, 7)

We have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the middle line as described above.

This applies to diagonal parallel lines as well, and vertical parallel lines.

Hence, The locus of points in a plane equidistant between (-5, -6) and (-5, 7) is describe by the Line. so option A is correct.

Learn more about a point dividing a line segment in a ratio here:

https://brainly.com/question/14186383

#SPJ2

If you open an already created budget Excel spreadsheet, what is one feature it has when calculating amounts?

A) There isn't an already created budget Excel spreadsheet.

B) Formulas are already included that will calculate the totals for you.

C) You need to create formulas by yourself to calculate the totals.

D) You can use a calculator to add the numbers.

Answers

Formulas are already included that will calculate the totals for you.

PLEASE HELPP!!!!
Find the area.

A.530in²
B. 779in²
C.390in²
D.1060in²

Answers

Answer:

530in²

Step-by-step explanation:

Area of triangle(a)=1/2bh=1/2*40*26.5=530

a b c or d? pls help out thx

Answers

Answer: I'm very sure the answer is B

Step-by-step explanation:

If the rocket is going straight up and it's measuring the height and time in seconds it should be at a slight curve but maintaining it's straight curve up making it a linear.

Select all sets in which the number
HELP PLZZZZZZZZ
8/9
is an element.
A. rational numbers
B. natural numbers
C. whole numbers
D. irrational numbers
E. real numbers
F. integers

Answers

Answer:

A

E

Step-by-step explanation:

a rational number can be expressed as fraction. well, that is what the number 8/9 is.

so, A is a correct option.

as such it is automatically also a member of the real numbers (which is a superset of rational numbers). so, E is a correct option.

all other options are wrong.

8/9 is not a natural number (1, 2, 3, 4, ...).

it is not a whole number (0, 1, 2, 3, 4, ...).

it is not an integer (... , -2, -1, 0, 1, 2, 3, ...).

and as it is a rational number, it is automatically not an irrational number.

HELP ILL GIVE U BRAINLIEST

Answers

Answer:

-6 33/40

Step-by-step explanation:

[tex]2\frac{5}{8} = 2.625\\-2\frac{3}{5} = 2.6\\\\2.625 *-2.6 = -6.825\\\\-6.825 = -6\frac{33}{40}[/tex]

Rewrite the expression using positive exponents
1. 1/9x^-2y^-1

2. a^-5*a^-8

Answers

Answer:

Property : a^-b = 1/a^b

Using this property, we can rewrite the expression using positive exponents :

[tex]1. \frac{1}{9}*x^{-2} *y^{-1} =\frac{1}{9}\frac{1}{x^{2} } \frac{1}{y} =\frac{1}{9x^{2} y} \\2. a^{-5} a^{-8} =\frac{1}{a^{5}a^{8} } =\frac{1}{a^{13} }[/tex]

Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour

Answers

Answer:

37.5 miles

Step-by-step explanation:

Distance covered in 4 hours = 150 miles

Distance covered in 1 hour = 150/4 = 37.5 miles

Someone please help with this

Answers

Answer:

g(-3) = 1

Step-by-step explanation:

We use the top piece of the function since x = -3

g(-3) = x+4 and x = -3

g(-3) = -3 +4 = 1

Nike is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount

Answers

Answer:

$17.5

Step-by-step explanation:

original price of shirt=$25

discount on shirt=30%

discount on shirt in $=$25*30%

discount on shirt=$7.5

cost of shirt after discount=origanl price-discount

=$25-$7.5

=$17.5

express the ratio 7day to 6weeks as a decimal fraction

Answers

Answer:

6 weeks=6*7 days=42days

7/42 =1/6 =0.16667

OR

7 days=1 week

therefore 1/6=0.16667

Note that both must be in the same unit.

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