A student winds a strip of paper eight times round a cylinderical pencil of diameter 7mm. Use the value 22/7 for the to find the length of the paper( ignore the thickness of the paper)

Answers

Answer 1
176 mm

...............
Answer 2

As per the circumference of a circle, the length of the paper is 176 mm.

What is the circumference of a circle?

The circumference of a circle is the total arc length of it.

The diameter of the pencil is(d) 7 mm

Therefore, the radius of the pencil is(r)

[tex]= \frac{d}{2} \\= 7/2 mm\\= 3.5 mm[/tex]

Now, the circumference of the cross-section of the pencil is

[tex]= 2[/tex](π)r units

[tex]= (2) (22/7) (3.5) mm\\= 22 mm[/tex]

Therefore, the length of the paper is

= (circumference of the cross-section of the pencil) × 8 units

[tex]= (22) (8) mm\\= 176 mm[/tex]

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Related Questions

If 5 + 6i is a solution of a quadratic equation with real coefficients, then_______ is also a solution of equation.

Answers

Answer:

Step-by-step explanation:

complex roots always occur in pairs and are conjugate of each other.

second root=5-6i

PLEASE HELP meeeeeeee

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}}}}[/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] \sf{ \sqrt{15k} (4 + \sqrt{3} )}[/tex]

Distribute √ 15 k through the parentheses

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{15k \times 3}}} [/tex]

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{45k} }}[/tex]

[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}[/tex]

Hope I helped!

Best regards! :D

If AB=3x-1, BC=6x, and AC= 26. Find the value of x.

Answers

Answer

let me try but i'm not sure

Step-by-step explanation:

Let's assume AC is a straight line and B is on the line and B is between A and C

AB+BC=AC

3x-1+6x=26

9x=27

x=3

4(3x - 2) - x = 3x - 4x

Answers

Answer:

2/3

Step-by-step explanation:

Step 1:

4 ( 3x - 2 ) - x = 3x - 4x

Step 2:

12x - 8 - x = - x

Step 3:

11x - 8 = - x

Step 4:

11x = - x + 8

Step 5:

12x = 8

Answer:

x = 2/3

Hope This Helps :)

Answer:

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

Step-by-step explanation:

[tex]4(3x-2)-x=3x-4x\\(12x-8)-x=3x-4x\\12x-x-8=3x-4x\\11x-8=3x-4x\\11x-8=-x\\11x=-x+8\\12x=8[/tex]

[tex]\displaystyle{x=\frac{8}{12}}[/tex]

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

x/a + x/b =c,a ne0,b ne0,a ne-b

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{a} +\frac{x}{b} =c\\a\ne 0,b \ne 0,a \ne -b ~or~a+b \ne 0 \\x(\frac{1}{a} +\frac{1}{b} )=c\\x(\frac{b+a}{ab} )=c\\x=\frac{abc}{a+b}[/tex]

The number line represents −412+314. What is the sum?

Answers

Answer:

the answer is -98

Step-by-step explanation:

i hope it is write

Answer:  The number line represents  −4 1/2 +3 1/4.

4*2+1 / 2 =8.5    +  3*4+1 /4 =3.25  

-8.5 + 3.25 =-5.25

What is the sum?  -5.25

C). -1 1/4    

Step-by-step explanation:

Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2
pounds, and Ryan has already packed 4 plates in the box. Each bowl weighs 0.9 pounds. Which Inequality could be used to
find b, the number of bowls that can be added to the box?
OA. 4(1.2) + 0.90 <12
OB. 4(1.2 +0.9b) 12
OC. 4(1.2) + 0.96 > 12
OD. 4(1.2 + 0.9b) 12

Answers

Answer:

yay ryan is getting rid of his kitchen plates!!!

Step-by-step explanation:

Answer:

I think it's A

Step-by-step explanation:

What is 12.325 + 8.274

Answers

Answer:

20.599

Step-by-step explanation:

Answer:

12.325 + 8.274 = 20.599

Range of value, solve for x, 2x-15

Answers

Answer:

3

Step-by-step explanation:

Set the denominator in  

3

x

2

2

x

15

equal to  

0

to find where the expression is undefined.

x

2

2

x

15

=

0

Solve for  

x

.

Tap for more steps...

x

=

5

,

3

The domain is all values of  

x

that make the expression defined.

Interval Notation:

(

,

3

)

(

3

,

5

)

(

5

,

)

Set-Builder Notation:

{

x

|

x

3

,

5

}

if f(x)=3x^2-4 and g(x)=5x+1, find fog(4) and gof(4)

Answers

oye would be 42 i tho k not sure

What is 21x+6 solve for x

Answers

Answer:

[tex]x = - \frac{2}{7} [/tex]

Step-by-step explanation:

[tex]21x + 6 = 0 \\ 21x = - 6 \\ x = - \frac{2}{7} [/tex]

•you divide both sides by 21 to leave x alone

Are the compositions of f(x) = 1 and g(x) = 2 commutative? Why or why not?

Answers

Answer:

D. They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

I guessed and got it right xD

Answer: D

They are not commutative, because f(g(x)) and g(f(x) are not equal.

Step-by-step explanation:

Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10

Answers

We would plug in x to all of those equations. So, 3(4+4)(4+1)/(4+2)(4-2). This would be 3(8)(5)/(6)(2). Then multiply them. 3(8)(5) would be 120. (6)(2) would be 12. Then divide 120 and 12 to get 10.

The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.

What is expression?

An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.

How to evaluate expression?

The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.

To find the value of expression at x=4 we have to put the value of x=4 in the expression.

at x=4, 3(4+4)(4+1)/(4+2)(4-2)

=(3*8*5)/6*2

=120/12

=10

Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.

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A bag contains 8 green, 4 black and 6 yellow marbles. What is the probability of randomly selecting a yellow marble ?

Answers

Answer:

Step-by-step explanation:

8 green

what algebraic expression represents GK?

Answers

Answer:

Explanation:

GK = GH + HJ + JK

But GJ = 3x + 5, HJ = x, HK = 4x - 1

Find GH:

GH = GJ - HJ
GH = (3x + 5) - x
GH = 3x + 5 - x
GH = 2x + 5

Find JK:
JK = HK - HJ
JK = (4x - 1) - x
JK = 4x - 1 - x
JK = 3x - 1

Find GK:

GK = GH + HJ + JK
GK = 2x + 5 + x + 3x - 1
GK = 6x + 4

Therefore, GK = 6x + 4

I'm not too sure on this. I need help ASAP, please and thank you.

Answers

Answer:

25

Step-by-step explanation:

Jeff can walk comfortably at 2.25 miles per hour. Find a linear equation that represents the total distance Jeff can walk in t hours, assuming he doesn't take any breaks.

Answers

The linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t

How to find a linear equation that represents the total distance Jeff can walk in t hours?

The given parameters are

Speed = 2.25 miles per hour

The linear equation that represents the total distance (d) Jeff can walk in t hours is calculated as:

d = Speed * t

This gives

d = 2.25 * t

Evaluate

d = 2.25t

Hence, the linear equation that represents the total distance Jeff can walk in t hours is d = 2.25t

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According to the video, who is the most common employer for Foresters? lumber companies the government paper companies conservation groups

Answers

Answer:

B. The Government

Step-by-step explanation:

Answer:

B is the anwser on egde 2020

Step-by-step explanation:

Solve (2^2x+1)-9(2^x)+4=0​

Answers

Answer:

x₁ = - 1

x₂ = 2

Step-by-step explanation:

2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0

2²ˣₓ2 - 9ₓ2ˣ + 4 = 0

2ˣ = n

2n² - 9n + 4 = 0

2n² - n - 8n + 4 = 0

n(2n - 1) - 4(2n - 1) = 0

(2n - 1)(n -4) = 0

2n - 1 = 0 => n₁ = 1/2

n - 4 = 0 => n₂ = 4

2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1

2ˣ = 4 => 2ˣ = 2² => x₂ = 2

Ruth is training for a half-marathon. On Saturday, she ran 3 miles in 34.5 minutes. On Sunday, she ran 2.5 miles in 28 minutes. How much faster, in minutes per mile, was her pace on Sunday than on Saturday?

Write your answer as a decimal or a whole number.

Answers

Answer:

Step-by-step explanation:

on Saturday time taken to run 1 mile=34.5/3=11.5 min

on Sunday time taken to run 1 mile=28/2.5=280/25=56/5=11.2 min

difference in time taken=11.5-11.2=0.3

he was faster on Sunday by 0.3 min/mi

please help!! will make branliest!!

Answers

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The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
It is currently 25°C in Greensboro, NC. Use the formula F = $C + 32, where C = Celsius degrees and F =
Fahrenheit degrees, to convert 25°C to Fahrenheit degrees.
0 45.9°F
O 13°F
O 77°F
102.6 F
Submit
Pass
Save and close
Don't know
answer
pe here to search
O
BI
8
a
15

Answers

Answer: Third choice, 77

How to get this answer:

Replace C with 25. Then evaluate (use the order of operations PEMDAS)

F = (9/5)*C + 32

F = (9/5)*25 + 32

F = 1.8*25 + 32

F = 45 + 32

F = 77

25 degrees Celsius is equal to 77 degrees Fahrenheit

So it is 77°F in Greensboro, NC.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

We know °F = (9/5)C + 32 converting unit of temparature to farhenhite.

Given, It is currently 25°C in Greensboro, NC.

∴ It is °F = (9/5)×25 + 32.

°F = 45 + 32.

°F = 77.

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a local hamburger shop soda combined order of 497 hamburgers and cheeseburgers on Friday there was 53 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Friday

Answers

Answer:

you need a answer I can see 425

Determine the statement that is logically equivalent to this conditional statement. If there is a thunderstorm, the lake floods. A) If the lake does not flood, there is a thunderstorm. B) If the lake floods, then there is not a thunderstorm. C) If there is not a thunderstorm, the lake does not flood. D) If the lake does not flood, then there is not a thunderstorm.

Answers

Okay so yes d is the answer I hope this helps

the food is sufficient for 1200 soldiers for 60 days how long the food last for 1000 soldiers​

Answers

Answer:

It would last for 54 days.

Step-by-step explanation:

After 15 days 200 soldiers leaved.

Soldiers              Food for days

1200 ↓                 45

1000                 ↑ x (let)

Arrows show the opposite variation to each other

1200     x

1000 = 45

Or, x =  1200×45

               1000

                 = 54 days.

The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times should jennifer except to roll a number less than 3

Answers

Answer:

20 times

Step-by-step explanation:

Given the following :

Probability of rolling a number less than 3 on a number cube:

Required outcome = (1, 2)

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome / Total possible outcomes

= 2 /6

= 1/3

Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :

(Probability of obtaining a number less than 3 in one roll × number of rolls)

= (1 / 3) × 60

= 60 / 3

= 20 times

Which is the value of this expression when a=5 and k=-2? ?
K
325-2
3a7
75
9
25.
25
19
10 75

Answers

Hey there! I'm happy to help!

[tex]a^-^2[/tex] is the same thing as 1/a². So, [tex]5^-^2[/tex] is 1/25. This is multiplied by 3² which is 9, so this is 9/25.

In the denominator, we have [tex]5^-^1[/tex], which is 1/5. We multiply this by 3, which is 3/5.

So, we divide 9/25 by 3/5, giving us 3/5.

Now, we raise this to the power of -2, so we flip the numerator and denominator and then square both numbers, giving us 25/9.

Have a wonderful day! :D

Solve this inequality : 5x+7x<36

Answers

Answer:

x < 3

Step-by-step explanation:

5x+7x<36

12x<36

Divide both sides by 12

x<3

1. Solve the shape equation puzzle?

Answers

Answer:

circle = 5, triangle = 2, square = 6

Step-by-step explanation:

If we look at the first and second equations, we see that circle + triangle + square = 13. Because triangle + square = 8, we can substitute this into the first equation, therefore, circle + 8 = 13 and circle = 5. Next, looking at the third equation, we see that circle + triangle = 7 and since circle = 5 we know that 5 + triangle = 7, therefore, triangle = 2. Finally, we can substitute triangle = 2 into the second equation which gives us 2 + square = 8, therefore, square = 6.

a) Let U = {1,2, ..., 9} be the universal set, and let
A = {1, 2, 3, 4, 5},
C= {5, 6, 7, 8, 9), E= {2,4,6,8},
D= {1,3,5,7,9), F = {1,5,9}.
B = {4, 5, 6, 7},
Find:
ii) (A/E)^c
iii) (BnF) U (CnE)​

Answers

Answer:

B= {4,5,6,7,} is the answer.

it is difficult ☹️ questions

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