The length of a room is 2 times it breadth and 5 times it height. If
the volume of the room is 800m3, find the cost of papering its
walls at Rs. 6 Per m2?​

Answer:

The Volume of the solid

V = π(1365.33) cubic units

Step-by-step explanation:

Step(I):-

Given curves are  x²- y² = 64 ,  x=0 , y=-8 and y=8

The given function   x = f(y)

                            x²- y² = 64

                            x² = y² +64

The Volume of the solid generating by revolving the region bounded by the graphs of the equations

[tex]V = \pi \int\limits^a_b {x^2} \, dx[/tex]

Step(ii):-

the limits are  y = a = -8 and y = b=8

The Volume of the solid

              [tex]V =\pi \int\limits^8_8 {(y^2+64)} \, dx[/tex]

               [tex]V = \pi (\frac{y^{3} }{3} + 64 y )_{-8} ^{8}[/tex]

              [tex]V = \pi (\frac{(8)^{3} }{3} + 64 (8) - (\frac{(-8)^{3} }{3} +64(-8) )[/tex]

             [tex]V = \pi (\frac{(8)^{3} }{3} + 64 (8) - (\frac{(-8)^{3} }{3} +64(-8) ) = \pi (\frac{1024}{3} + 1024)[/tex]

V = π(1365.33) cubic units





Answer: 11

Step-by-step explanation:

1. Evaluate 2a when a = 1/2

2a

2 x (1/2) = 1

2. Evaluate 3b when b = 7

3b

3x7 = 21

3. Put the pieces of the expression back together

21 - 1 -9

4. Solve

11

Answer: 420

Step-by-step explanation: 14 percent of 3000 is 420

Correct Answer: $420

Answer:

I. 94.99 in²

II. $0.23

Step-by-step explanation:

Given the following data;

Diameter of wheel = 11 inches

[tex] \pi = 3.14[/tex]

Cost of wheel = $21.35

[tex] Radius, r = \frac {diameter}{2} [/tex]

[tex] Radius, r = \frac {11}{2} = 5.5 \; inches [/tex]

Part A

To find the area;

We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;

[tex] Area, A = \pi r^{2} [/tex]

Substituting into the equation, we have;

[tex] Area, A = 3.14 * 5.5^{2} [/tex]

[tex] Area, A = 3.14*30.25[/tex]

Area, A = 94.99 in²

Part B

To find cost per square inch;

[tex] Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel} [/tex]

[tex] Cost \; per \; square \; inch = \frac {21.35}{94.99} [/tex]

Cost per square inch = $0.23

Answer:

The ratio of the diameter of ball A to the diameter of ball B is 10:19.

Step-by-step explanation:

Ratios

A ratio is a relation between two quantities and it's calculated as a division. For example, the ratio between 8 and 4 is 8:4 = 8 / 4 = 2.

We are given the diameters of two balls as follows:

The diameter of the ball​ A=30mm

The diameter of the ball​ B=5.7 cm = 57 mm

The ratio of the diameter of ball A to the diameter of ball B is 30:57. Dividing both numbers by 3, we have: ratio=10:19

The ratio of the diameter of ball A to the diameter of ball B is 10:19.

Answer:

BC = 23.8

Step-by-step explanation:

Answer:

92.32%

Step-by-step explanation:

482-37=455 (not vaationig)

445/482=0.9232

0.9232*100=92.32%

Answer:

x = 4

Step-by-step explanation:

From the picture attached,

By using mean ratio theorem in the given triangle,

[tex]\frac{AC}{BC}=\frac{BC}{CD}[/tex]

AC × CD = (BC)²

(x + 5)x = (x + 2)² [Since, AC = AD + CD]

x² + 5x = x² + 4x + 4

5x = 4x + 4

5x - 4x = 4

x = 4

Therefore, x = 4 will be the answer.

No change in area

Step-by-step explanation:

The area is 60 square feet for both rectangles.

Answer:

0 square feet

Step-by-step explanation:

i got it right

Answer:

I hope the Picture Helps!

Step-by-step explanation:

<333

The required coordinates of the vertices of ∆F′G′H′ is  F'  = (-5, 2), G'= (0, 2), and H' = (0, 6).

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

As mentioned in the question, a given triangle on coordinate axes translated 2 units up. The term "2 unit up" implies that each ordinate of the coordinates of the triangle is increased by 2 units,
So the trasformation equation for the triangle is given as,
(x, y) ⇒ (x, y+2)

Now, the coordinates of the vertices of ∆FGH,
F  = (-5, 0),    G= (0, 0)    H = (0, 4)

After the trasformation coordinate of ∆F′G′H′
F'  = (-5, 0 + 2),    G'= (0, 0 + 2)    H' = (0, 4 + 2)
F'  = (-5, 2),    G'= (0, 2)    H' = (0, 6)

Thus, the required coordinates of the vertices of ∆F′G′H′ is  F'  = (-5, 2), G'= (0, 2), and H' = (0, 6).

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Answer:

Do we do all of them???

Step-by-step explanation:

Answer:

[tex]a_3=22[/tex]

Step-by-step explanation:

Given that,

a₁ = 10

[tex]a_n=a_{n-1}+6[/tex]

We can find second term first.

[tex]a_2=a_{2-1}+6\\\\=a_1+6\\\\=10+6\ (Given\ a_1=10)\\\\=16[/tex]

We need to find the third term of the above sequence. Put n = 3 in the above sequence as follows :

[tex]a_3=a_{3-1}+6\\\\=a_2+6[/tex]

Put a₂ = 16

[tex]a_3=16+6\\\\=22[/tex]

Hence, the third term of the sequence is 22.

Answer:

Step-by-step explanation:

Answer: c. 3 and 5 over 9

Step-by-step explanation:

There is a 8/9 cup of ice cream. The number of 1/4 cup servings that can be made from this is:

= 8/9 ÷ 1/4

= 8/9 * 4/1

= 32/9

= 3⁵/₉ cups

Answer:

SAS

Step-by-step explanation:

The triangles have the same angle and two sides.

Please mark me brainliest if this helped. :)

Answer: x=-1

Step-by-step explanation:

Do 8(4) + 8(2x)=16 to use the distributive property. You should get 32+16x=16. Then, subtract 32 from both sides of the equation and you will get 16x=-16. Finally, divide both sides of the equation by 16 and you will get you answer, x=-1. Hope I helped.

Answer: What is the "given polynomial expressions?"

Answer:

C

Step-by-step explanation:

I used the formula. it took a long but i got it! Brainly pls!

Answer:

Where is point D??? I believe its IV, the others would not make sense.

Step-by-step explanation:

Answer:

b sorry if wrong

Step-by-step explanation:

Answer:

The functions is;

x - 12

Step-by-step explanation:

Input is (x)

(2) - 12 = -10

(6) - 12 = -6

(10) - 12 = -2

(5) - 12 = -7

Answer:

The exponential form of expression is 4⁵.

To grow at an ever-increasing rate is referred to as exponential growth. On the other hand, it is a mathematical expression with one or more exponents in mathematics. As a result, we call it an exponential form.

We can say that something might grow at an exponential rate if it grows faster and faster as the thing being discussed gets bigger.

Given expression

4.4.4.4.4

Writing a number as the product of its prime factors is the very first step in expressing it in exponential form.

number is in factors

4 x 4 x 4 x 4 x 4

a numerical term that has been increased to certain powers of its prime factors

= 4⁵

where 5 is exponent.

Hence the  exponential form is 4⁵.

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Answer:

(0,0) and (1,1)

Step-by-step explanation:

Step-by-step explanation:

$30 a month budget includes:

Answer:

You can search it up on Gxogle! It will tell you step by step.

"Step 1: Write a list of easy facts for the divisor.

Step 2: Subtract from the dividend an easy multiple of the divisor (e.g. 100x, 10x, 5x, 2x). Record the partial quotient in a column to the right of the problem.

Step 3: Repeat until the dividend has been reduced to zero or the remainder is less than the divisor."

I hope this helped!

Answer:

Answer:

indirect variation

Step-by-step explanation:

in thhe process of when one derease other will also increase .that means that the veraible change in same ratio

Answer: 95%

Step-by-step explanation:

With the information provided, the four largest merchants are Grocery Stores, Fountain, Gas Stations, and Vending Stores.

These stores each make up 44%, 24%, 16%, and 11%, respectively.

The sum of these percentages is 95%. Thus, the four largest locations for soft drink sales make up 95% of soft drink sales.