Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height. [Assume π = 22/7]​

Answers

Answer 1

[tex]{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}[/tex]

★ Curved surface area of right circular cylinder is 4.4 m².

★ Radius of base of the cylinder is 0.7 m.

★ [tex]\tt \pi = \dfrac{22}{7}[/tex]

[tex]{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}[/tex]

★ The height of cylinder.

[tex] {\large{\textsf{\textbf{\underline{\underline{Using \: Formula :}}}}}}[/tex]

[tex] \star \: \tt C.S.A \: of \: cylinder = \boxed{ \tt \pink{{ 2πrh}}}[/tex]

[tex] {\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}[/tex]

Let,

❍ The height of circular cylinder be [tex]h[/tex]

Radius [r] of base of cylinder be 0.7 m

We know,

[tex] \star \: \tt C.S.A \: of \: cylinder = 2πrh[/tex]

Putting,

☆ [tex]\tt \pi = \dfrac{22}{7}[/tex]

☆ r as 0.7

[tex] \longrightarrow \tt 4.4 {m}^{2} = 2πrh[/tex]

[tex] \longrightarrow \tt 4.4 {m}^{2} = \bigg( 2 \times \dfrac{22}{7} \times 0.07 \times h \bigg)m[/tex]

[tex] \longrightarrow \tt \dfrac{44}{10} {m}^{2} = \bigg( {2 }\times \dfrac{22}{ \cancel{7}} \times \dfrac{ \cancel{7}}{10} \times h \bigg)m[/tex]

[tex] \longrightarrow \tt \dfrac{44}{10} {m}^{2} = \bigg( 44 \times \dfrac{ {1}}{10} \times h \bigg)m[/tex]

[tex] \longrightarrow \tt \dfrac{44}{ \cancel{10}} \times \cancel{10} \: m = \bigg( 44 \times 1 \times h \bigg)[/tex]

[tex] \longrightarrow \tt 44 m = 44h[/tex]

[tex]\longrightarrow \tt \dfrac{44}{44} m = h[/tex]

[tex]\longrightarrow \tt \red{ 1 m } = h[/tex]

Therefore, the height of cylinder = 1 m.

[tex]\begin{gathered} {\underline{\rule{290pt}{2pt}}} \end{gathered}[/tex]


Related Questions

3. Omar chooses a marble at random from the bag shown below. Without putting
the first marble back, he chooses another marble.
What is the probability that Omar chooses two blue
marbles? Express your answer as a fraction in lowest terms.

Answers

Answer:

Theres no bag we cant solve it without you showing a picture or describing it

Step-by-step explanation:

What’s the slope of this graph? Can y’all guys help please ! Thank y’all

Answers

Answer:

3

Step-by-step explanation:

we can think of the slope of a graph as [tex]\frac{rise}{run}[/tex]

the "rise" is the difference in y-values between two points (the change in y)

the "run" is the difference in x-values between two points (the change in x)

when we divide these (rise/run), we find the slope

you can choose any two well-defined points (with clear x and y values), here are the two we will be using:

(remember, points are written as (x, y)  )  

(0 , 2)

(-1 , -1)

for the "rise", we have risen 3 (difference between 2 and -1 = 3 [2- -1 = 3] )

for the "run" we have ran 1 (difference between 0 and -1 = 1) (0 - - 1 = 1)

so, the slope for this graph is: 3/1 ; which simplifies to 3

So, the slope of our graph is 3

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

technical layout:

[tex]m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]               (note: slope is called "m" in the format of y=mx + b)

[tex]y_{1}[/tex] means one y-value, [tex]y_{2}[/tex] means other y-value

[tex]x_{1}[/tex] means one y-value, [tex]x_{2}[/tex] means other x-value

{note: it is important to keep the y1 and x1 from the same point, and the y2 and x2 from a shared point}

our equation in this layout:

[tex]m=\frac{2 -(-1)}{0-(-1)}[/tex] = [tex]m=\frac{3}{1}[/tex]

                     m = 3

One leg of a 90-45-45 triangle is 5. What are the sides of the hypotenuse and the other leg?

Answers

Answer:

5√2, 5

Step-by-step explanation:

in a 90 45 45 triangle, each leg is the same legnth

the hypotenuse of a 90 45 45 triangle is x√2

x being the measure of the leg

Determine the equation of a line passing through the point (2,-6), with a slope of m=-1

Answers

Answer:

sub(2,-6)into y=mx+C

-6=-1(2)+C

C=-4

equation=y=-x-4

Answer:

y = -x - 4

Step-by-step explanation:

Given:

a line with a slope of -1, passing through the point (2,-6)

Point-Slope Form: y - y₁ = m(x - x₁)

where:

(x₁, y₁) is the given point

m is the slope

Substitute the given values into the formula:

⇒ y - y₁ = m(x - x₁)

⇒ y - (-6) = -1(x - 2)

⇒ y + 6 = -1(x - 2) [distribute -1 through the parentheses]

⇒ y + 6 = -x + 2 [subtract 6 from both sides]

⇒ y + 6 - 6 = -x + 2 - 6

y = -x - 4

Check your work:

⇒ y = -x - 4 [substitute 2 for x, and -6 for y]

⇒ -6 = -2 - 4 [simplify]

⇒ -6 = -6 ✔

Therefore, the equation of the line is: y = -x - 4

Other examples:

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find the perimeter of the triangle

Answers

Answer:

x²+14x+11

Step-by-step explanation:

Find the perimeter of the triangle.

The perimeter is:

add them

-x²+9x

2x²+6

5x+5

x²+14x+11

quizlet

I need it now!!! pls​

Answers

Answer:

To answer 5)

First we know that...

[tex]\frac{235}{360}[/tex] of the circle = 94 people

To find total people=

[tex]\frac{235}{360}[/tex]×x=94

x=144 people

To find the number of hokey players: 360-(235+90) =35

so, [tex]\frac{35}{360}[/tex]×144=14

So, 14 people are chose hockey

A wagon is being pulled by a handle making a 40° angle with a force of 35 pounds. What amount of force is moving the wagon along level ground? Round to the nearest tenth.

Answers

The amount of force is moving the wagon along ground level will be 26.8 pound

A force in physics is an effect that has the power to alter an object's motion. A mass-containing object's velocity can vary, or accelerate, as a result of a force. Intuitively, a push or a pull can also be used to describe force. Being a vector quantity, a force has both magnitude and direction.

Given a wagon is being pulled by a handle making a 40° angle with a force of 35 pounds

We have to find amount of force is moving the wagon along level ground

The angle with force is given 40 degree

So the formula to find amount of force is moving the wagon along level ground will be as follow:

Fₓ = F cosθ

Fₓ = 35 * cos40

Fₓ = 26.8 pound

Hence amount of force is moving the wagon along ground level will be 26.8 pound

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What is the range of the function graphed below?

Answers

Its the second option!

The range expresses the constraints of y-values of a function. There is a solid point at positive three which means that it is included. The open point at -3 means it’s not included. This makes the range -3

Given: ∠E and ∠F are supplementary and ∠F and ∠G are supplementary.

Prove: ∠E≅∠G

Answers

1) ∠E and ∠F are supplementary and ∠F and ∠G are supplementary (given)

2) m∠E+m∠F=180 degrees, m∠F+m∠G=180 degrees (supplementary angles have measures that add to 180 degrees)

3) m∠E=m∠G (subtraction property of equality)

4) ∠E≅∠G (angles with equal measure are congruent)

1/4​ ÷9=????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Answer:

1/36

Step-by-step explanation:

¼ / 9

9 as a fraction is 9/1

use KFC (keep flip change)

¼ x ⅑ = 1/36

[tex] \frac{1}{4} \div 9 \\ \\ first \: way \\ 0.25 \div 9 \\ 0.027 \\ \\ second \: way \: \\ \frac{1}{4} \times \frac{1}{9} \\ \frac{1}{36} \\ 0.027[/tex]

PLEASE GIVE BRAINLIEST

Consider the matrix [tex]A_{4x4}, det(A) = -2[/tex]

Show that the following is true or false:


[tex]det(adj(2A^{-1}) =-2^{9}[/tex]

Answers

We found a counterexample, so the statement is false.

Is the statement true?

Let's use the matrix:

[tex]\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right][/tex]

This is a 4x4 matrix with determinant equal to -2.

The inverse matrix is:

[tex]\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right][/tex]

If we multiply it by 2, we get:

[tex]\left[\begin{array}{cccc}1&0&0&0\\0&-2&0&0\\0&0&-2&0\\ 0&0&0&-2 \end{array}\right][/tex]

The adjoint of that is the original matrix, actually:

[tex]\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right][/tex]

Which we already know, has a determinant of -2.

So the statement is false, as we found a counterexample.

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Find the radius of a circle with area 345 square centimetres

For 35 points need asap in 10 MINS!!!! :)

Answers

5.9

Step-by-step explanation:

345√ is 18.6=3.14*r2 cuz formula

Is πr2

Answer: Radius = 10.48 cm

Step-by-Step Solution:

Radius (r) = ?
Area (A) = πr² = 345 sq. cm

Therefore,
πr² = 345
3.14 * r² = 345
r² = 345/3.14
r² = 109.87
r = √109.87
=> r = 10.48

Radius (r) = 10.48 cm

If an investor invests $24,000 into two bonds, one that pays 4% in simple interest, and the other paying 2% simple
interest, and the investor earns $700 annual interest, how much was invested in each account?
Round your answers to the nearest dollar.
2% bond: $
4% bond: $

Answers

Answers:

2% bond: $11000

4% bond: $13000

========================================================

Explanation:

x = amount invested in the 4% bond

y = amount invested in the 2% bond

Amounts are in dollars

The two amounts add to $24,000 so

x+y = 24000

y = -x+24000 is one equation to set up

0.04x = interest earned from the 4% bond

0.02y = interest earned from the 2% bond

0.04x+0.02y = total interest earned = $700

0.04x+0.02y = 700 is another equation to set up

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

The system of equations is

[tex]\begin{cases}y = -x+24000\\0.04x+0.02y = 700\end{cases}[/tex]

Apply substitution. Solve for x.

0.04x+0.02y = 700

0.04x+0.02(-x+24000) = 700

0.04x-0.02x+480 = 700

0.02x= 700-480

0.02x= 220

x= 220/(0.02)

x = 11000

Use this to find y

y = -x+24000

y = -11000+24000

y = 13000

Derek works 43 hours at a rate of pay of $15 per hour. He receives double pay over 40 hours. What is his gross pay?

Answers

The Gross pay which Derek gets is 690 dollars.

What is Gross Pay?

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages. The amount remaining after all withholdings are accounted for is net pay or take-home pay.

Here, Total hours worked by Derek = 43 hours

Rate of pay = $15 per hour

Rate of pay beyond 40 hours = $30 per hour

Now,

Rate of pay for the first 40 hours = 40 X 15 = $ 600

Since the pay rate doubles after 40 hours,

Rate of pay for the remaining 3 hours = 3 X 30 = $ 90

Gross Pay = 600 + 90 = $ 690

Thus, the Gross pay which Derek gets is 690 dollars.

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yo
24
yx
SECTION B
(a) Identity element;
(b) Inverse of 3 and -5 under *
Range y
[30 marks]
Answer all the questions in this section. All questions carry equal marks.
1. A binary operation is defined on the set of real numbers, R, by x + y = x + y + 10.
Find the:
The inverse of 3 and _ 5

Answers

Answer:

Sorry I don't know the answer

Help me with this please and thank you!! :)

Answers

Answer:

Step-by-step explanation:

[tex]A \cap C[/tex] denotes the set of elements in both A and C, which is [tex]\{20, 24, 28\}[/tex].[tex]B^{C}[/tex] denotes the complement of set B, which is the set of all elements that are in the universal set that are not in set B. In this case, this set is [tex]\{3, 4, 5, 6, 8, 11, 13, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28\}[/tex]

Explain the order in which to simplify the following and then simplify it.

Answers

Answer:

16 x^14 / y^16

Step-by-step explanation:

Remember   ' PEDMAS '

Parentheses

Exponents

Division

Multiplication

Addition

Subtraction

 so do the stuff inside the parentheses to get

  y^8     ^-2

  4x^7  

Now do the exponents  ( the -2  one)

y^-16

4^-2 x^-14       then simplify

16 x^14 / y^16

if a tap leaks at the rate of 1 L per half minute, how many litres are Lost after 10 minutes?​

Answers

Answer:

The answer is 20 L

Step-by-step explanation:

if 1/2 minutes = 1 L

10 minutes = 20 L

Answer:

20 liters

Step-by-step explanation:

when working with math problems about the rate that something is happening, it is typically helpful to find the unit rate.

In this case, the unit rate will be how many liters are lost in 1 minute (per unit essentially means per "1" )

we know that 1 liter is lost in 1/2 minute

1/2 minute = 1 liter

×2                ×2  {multiply both sides by 2 to find "1 minute"}

1 minute = 2 liters

So, for every 1 minute, we lose 2 liters

if we have 10 minutes, we can multiply both sides by 10:

1 minute = 2 liters

×10           ×10

10 minutes = 20 liters

So, after 10 minutes, 20 liters are lost

hope this helps!!

10 times the sum of certain numbers x and y​

Answers

This can be represented by [tex]\boxed{10(x+y)}[/tex]

How would you multiply 4x 2

3

( 4 x 2 by 3 (fractions))

Answers

Answer:

8/3

Step-by-step explanation:

4 x 2 = 8, so (4 × 2)/2 = 8/3.

The base of a triangle is 5 cm greater than the
height. The area is 33 cm². Find the height and
the length of the base.

Answers

Answer:

height= 13.2 cm

Step-by-step explanation:

h = 2 × A/b

h = 2 × 33 /5

= 13.2

8) 3/
of the magazines sold at a newsagents were wedding magazines.
What is this as a percentage?
44

Answers

Answer:

0.0085× 100= 0.85℅

Step-by-step explanation:

okay so you want 3/8 from 44 as percentage but how can you put the 3/8 on top of the 44 to multilply it by 100 to get the percentage, ofcourse we will have to change the 3/8 into a whole number. To do that we are going to do the following.

= 3 ÷ 8 = 0.375, so here you got a number that you can put on the 44.

Now to get the percentage we are going to do this:

0.375/44 × 100

= 0.0085 × 100 ( I solved the 0.375/44 as you know that division always comes first in maths)

= 0.85℅ ( I solved the 0.0085 × 100)

°•°•° I hope this helped sorry for taking long °•°•° May I get brainliest if you liked my ans im trying to lvl up ty and its okay if you don't want to

A hole the size of a photograph is cut from a red piece
of paper to use in a picture frame.
3
What is the area of the piece of red paper after the hole
for the photograph has been cut?
O 17 square units
O 25 square units
O 39 square units
O 47 square units

Answers

Answer:

D)

Step-by-step explanation:

47 is the right answer! Have an cool day!

The area of the piece of red paper after the hole for the photograph has been cut is,

⇒ 47 square units.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Now, First, find the area of the two squares:

The photograph have vertices:

(-3, -2), (-2, 2), (2, 1), and (1, -3).

Since, The square is diagonally aligned, so we need to find the length between two points in order to find the area.

For (1, -3) and (2, 1).

There is a 1 unit length and a 4 unit height.

We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:

1² + 4² = x²

1 + 16 = x²

x = √17

The side length for the square of the photograph is the square root of 17,

so the area of the photograph is 17 units²

Now, The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.

Now , we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:

64 - 17 = 47 square units.

Thus, The area of the piece of red paper after the hole for the photograph has been cut is,

⇒ 47 square units.

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Hello, I need help understanding the following question.

Answers

Answer:

option b, y = 3/4x - 11

Step-by-step explanation:

Parallel lines have the same slope,

slope = rise / run where the rise is 3 and the run is 4

slope = 3/4

The line is in a upwards trend making the slope positive making choice c and d incorrect

The line passes through (8, -5)

y = 3/4x + b, (x, y)

-5 = 3/4(8) + b

-5 = 6 + b

-5 - 6 = 6 - 6 + b

-5 - 6 = b

-11 = b

y = 3/4x - 11

Which of the following linear equations passes through points (-1,5) and (1,-5)?


Y=-5x
Y=5x+10
Y=-2x+3

Answers

Answer:

y = -5x

Step-by-step explanation:

gradient = delta y / delta x

gradient = -10 / 2

gradient = -5

y = mx + b

5 = -5(-1) + b

5 = 5 + b

b = 0

y = -5x

The first term of a sequence is 5.
The term-to-term rule is 'add 8'. What is the 10th term of the sequence?

Answers

Answer:

[tex]\fbox {77}[/tex]

Step-by-step explanation:

Given

⇒ a = 5

⇒ d = + 8

Solving :

⇒ a₁₀ = a + 9d

⇒ a₁₀ = 5 + 9(8)

⇒ a₁₀ = 5 + 72

⇒ a₁₀ = 77

2/5 X -3/4
i need help on this

Answers

Answer:

[tex]-\frac{3}{10}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} *-\frac{3}{4} \\=-\frac{6}{20} \\=-\frac{3}{10}[/tex] (Reduced to simplest form.)

Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase. Which store offered the better discount, and how much is the difference?

Answers

The better option will be at DiscountsRUs 40% off on any purchase.

What is the discount?

The amount of money which is reduced on any product below its actual selling price is called the discount.

here we have two offers from the two stores Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase.

For a Dominic, the discount is fixed for any purchase that is if you purchase a $50 product or a $1000 product you will be getting only a $15 discount.

Now for the second store, the discount is given as 40% so if you purchase $50 your discount will be $20. If you purchase $1000 so 40% discount will be $400.

Therefore better option will be at DiscountsRUs 40% off on any purchase.

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−3x(4x² − 81) (x² + 64) = 0

Answers

Answer: [tex]x=0,x=-\frac{9}{2}, x=\frac{9}{2}[/tex]

Step-by-step explanation:

[tex]-3x(4x^2-81)(x^2+64)=0\\[/tex]

multiply the terms together

[tex]-12x^5-525x^3+15552x=0[/tex]

factor left side of the equation

[tex]3x(-x^2-64)(2x+9)(2x-9)=0[/tex]

set factors equal to 0

[tex]x=0,x=-\frac{9}{2}, x=\frac{9}{2}[/tex]

ratio of pi?

3. whats an estimation that's fraction form?

Answers

Answer:

22/7

Step-by-step explanation:

22/7 is not very close to pi, but it is sometimes used as an estimation for pi

Answer:

22/7 is estimation

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