If a wheel has a radius of 5cm
1. how much is one rotation of the wheel
2. How many rotations can the wheel do within a distance of 50km

Answers

Answer 1

We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.

1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:

[tex]P = 2*3.14*R[/tex]

We know that our wheel has a radius of 5cm, then R = 5cm, we will get:

[tex]P = 2*3.14*5cm =31.4 cm[/tex]

Then one full rotation of the wheel is equal to

2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.

But first we need to have both values in the same unit system.

Knowin that:

1km = 1000m

1km = 100*1000cm = 100,000 cm

Then 50km = 50*(100,000 cm) = 5,000,000 cm

Now we can solve the quotient:

[tex]\frac{5,000,000cm}{31.4cm} = 159,235.7[/tex]

This means that the wheel needs to do 159,235.7 rotations to move a distance of 50km.

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Related Questions

look at image below urgant 1000 points alert

Answers

A = pi x r x l

= 3.14 x 5 x 13

= 204.1

Answer:

282.7 mi^2

Step-by-step explanation:

Surface area of cone=pi*r*(r+l)=pi*5*18=282.7

Perimeter of a semi circle with a diameter of 3.5m​

Answers

Answer:

10.99

Step-by-step explanation:

c=[tex]\pi[/tex]d

c=3.14 x 3.5cm

c=10.99

Find the values of the missing sides. You must use exact answers! PLEASE HURRY AND HELP

Answers

Answer:

x=4sqrt3 a=4 b=3  ,y=8sqrt3 c=8 d=3

Step-by-step explanation:

because this is a 30-60-90 triangle, it is easy to find the side lengths. the longer leg is sqrt(3) times the shorter leg so x= 12/sqrt(3) or 4sqrt(3). the hypotenuse is 2 times the shorter leg so y= 8sqrt(3)

Select the correct answer.
Which graph represents this equation?
Y=3/2x to the second -6x

Answers

Answer:

the answer is D

Step-by-step explanation:

First you make the y = 0 then you swap the sides

3/2x^2-6x=0 then you factor the expressions X * (3/2x-6)=0. when the product of factors 0, one of the factors are 0.  X=0 finally solve for the other X. 3/2x-6=0  X=0 X=4  

A square garden has area 1764meter find it's length and perimeter

Answers

Answer:

[tex]area \: of \: a \: squre = {a}^{2} \\ {a}^{2} = 176 \\ a = 13.26m \\ perimeter = 4a = 4 \times 13.26 = 53.04m^2 \\ thank \: you[/tex]

Answer:

Length = 42 mPerimeter = 168 m

Concept:

Here, we need to know how to find the area and perimeter of the square.

Area (square) = s²

s = side length

Perimeter (square) = 4s

s = side length

Solve:

PART I: Find the length

Given information

Area = 1764 m²

Given formula

A = s²

Substitute values into the formula

1764 = s²

Square root both sides

√s² = √1764

[tex]\boxed{s=42m}[/tex]

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

PART II: Find the perimeter

Given information

s = 42 m

Given formula

P = 4s

Substitute values into the formula

P = 4 (42)

Simplify by multiplication

[tex]\boxed{P=168m}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

At the laundromat, Carol used to pay $1.50 per load, but the company has increased the price per load by 20%. Estimate the amount Carol will pay to was 6 loads of laundry.

Answers

Answer:

$10.80 (about $11)

Brainliest, please!

Step-by-step explanation:

20% = 0.2

+20% = x 1.2

1.5 x 1.2 = 1.8

1.8 x 6 = 10.8

Help!!!
Slove for x.
A.11
B.9
C.13
D.14

Answers

Answer:

Step-by-step explanation:

The secants form a proportion where the full length of the secant is the denominator of a fraction where the numerator is the external part of the secant.

7/(x + 7) = 6/(15 + 6)         Cross Multiply after combining

7 / (x + 7) = 6/(21)                

6 * (x + 7) = 7 * 21             Remove the brackets

6x + 42 = 147                   Subtract 42

6x = 147 - 42

6x = 105                           Divide by 6

x = 17.5

I think I've done this correctly. If you find an error, please let me know and I'll open it for editing.

f(x)=-4+7, what is f(2)

Answers

Answer:

3

Step-by-step explanation:

7-4

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

Answers

Answer:

Hello,

Step-by-step explanation:

Loi d'Ohm: U=R*I

a) U=20*0.5=10 (amp)

b) I=U/R=50/0.5=100 (amp)

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Joyce had business cards made through a printing company. They charge an initial fee of $12 and $3.99 for each box of 100 business cards. If Joyce needs 5 boxes, how much will she be charged?
A. $31.95
B. $52.88
C. $119.95
D. $63.99

Answers

Answer:

The correct choice is option A. $31.95

Step-by-step explanation:

The total cost would be the basic fee + the price of the boxes.

So, the initial fee is $12, Joyce needs 5 boxes, and $3.99 is charged per box.

$12 + 5 × $3.99 = 31.95

what is the value of x ?

Answers

Answer:

x = 18

Step-by-step explanation:

11 x 11 = 121

10 x 10 = 5x + 10

100 = 5x + 10

90 = 5x

x = 90/5

x = 18

Pls pls help me! What is it

Answers

Answer:

H

Step-by-step explanation:

Jackie

[tex] \sqrt{9} + \sqrt{25} = 3 + 5 = 8[/tex]

Jesse

[tex] \sqrt{9 + 25} = \sqrt{34} [/tex]

Taking the difference, we get the answer to be

[tex]8 - \sqrt{34} [/tex]


[tex]2 |3 \sqrt{2} - 2 \sqrt{3} | + |3 \sqrt{8} - 8 \sqrt{3} | + 2 \sqrt{12} [/tex]
.......................​

Answers

Answer:

hope it helps

Step-by-step explanation:

Answer:

SEE THE IMAGE FOR SOLUTION..

Help me please and thank you

Answers

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

HELP OUT PLZZZZZZZZZZZZZZZZz

What is the measure of the angle if an angle if it is 300 less than five times its own supplement

Angle = _______ degrees

Answers

Answer:

100°

Step-by-step explanation:

Let the angle = x

Its supplement = 180 -x

5*(180 - x ) - x = 300    

5*180 - 5*x - x= 300    {Distributive property}

900 - 5x  - x = 300     {Combine like terms}

900 - 6x  = 300         {Subtract 900 from both sides}

       -6x = 300 - 900

      -6x = -600           {Divide both sides by (-6)}

          x = -600/-6

        x = 100

order the equations by the steepness of the slopes of their graphs from greatest fj least.

Answers

steepest slope: 2x+3
-3x-4
2/3x-5
flattest slope: -1/5x+2

Write in word form.
4. 572
5. 2.897
6. $325.10​

Answers

Answer:

heyyy thereee

4) 572 = five hundred seventy two

5) 2.897 = two and eight hundred ninety seven thousandths

6) three hundred twenty five and 10 hundredths  or three hundred twenty five and 1 tenth

glad if brainliest ig ?

x = 1, 2, 3 , 4 ,5
y = 15, 12, 9, 6, 3
Write an equation which describes the rule in the following table:

Answers

X goes by 1s

And y goes by 3s

Answer:

y = -3x + 18

Step-by-step explanation:

We can see:

x- values increase by 1 unity- values decrease by 3 units (slope is -3).

This is a linear relationship. Use point-slope form to find the equation:

y - 15 = -3(x - 1)y = -3x + 3 + 15 y = -3x + 18

PLEASE HELP!!! The data set shows the ages of people riding a bus.

What is the mode for this data set?


18 16 11 45 33 11 33 14 18 11


A. 11, 18, and 33


B. 17


C. 21


D. 11

Answers

Step-by-step explanation:

The number which is repeated more times will be mode...

So...

11 is Answer

Find the mean of the data in the bar chart below. coins collected by each person in a scavenger hunt.

Answers

Answer:

There's no chart below

Step-by-step explanation:

Answer:

6.2 coins he will have

Step-by-step explanation:

its the anwser on han i go it wrong :( the first time and 12 was the anwser!

Will give brainliest to correct answer

Answers

Answer:

30 lamps

Step-by-step explanation:

30*2= 60

Heyyy!!! It’s thirty lamps bc 30x2=60
30 lamps

Find the missing side. Round answer to the nearest tenth.

Answers

Tanθ = opposite / adjacent

[tex] \tan(32) = \frac{x}{25} \\ 0.624 = \frac{x}{25} \\ x = 15.6 \\ x = 16[/tex]

I hope I helped you ^_^

Which graph represents a function?

Answers

Answer:

D, the horizontal line is a function

Step-by-step explanation:

To pass the vertical line test, a vertical line cannot go through the function more than once

A is a vertical line so it will fail the vertical line test

B will fail the vertical line test at many points.  One example is at

x =0 where you can see it will intersect at two points

C will fail the vertical line test at many points.  One example is at

x =0 where you can see it will intersect at two points

D is a horizontal line.  This will pass the vertical line test

Rhonda bought a new laptop for $500. The laptop
depreciates, or loses, 10% of its value each year. The

value of the laptop at a later time can be found using

the formula A - P(1 - 1)', where P is the original

value, r is the rate of depreciation written as a decimal,

and t is the number of years since it was purchased,

What will the laptop be worth in two years?

In two years, the laptop will be worth $________.

The solution is ______ ?

Answers

Answer:

405

Step-by-step explanation:

A = P(1-r)^t

A = 500 (1-.1)^2

A = 500 (.9)^2

   = 500*0.81

   = 405

Dylan is driving to a concert and needs to pay for parking. There is an automatic fee
of $5 just to enter the parking lot, and when he leaves the lot, he will have to pay an
additional s2 for every hour he had his car in the lot. How much total money would
Dylan have to pay for parking if he left his car in the lot for 6 hours? How much
would Dylan have to pay if he left his car in the lot for t hours?

Answers

Answer:

17

Step-by-step explanation:

6 x 2 = 12 so 12 + 5 = 17

Dylan would have to pay $17.

Dylan would have to pay $17 if he left his car for 6 hours. Dylan would pay 5 + 2t if he left his car for t hours.

For such questions it is best to form an expression.

The parking fee has a fixed cost of $5.

It also has a cost per hour of $2.

This means that if a person spends t hours at the parking lot, they will have to pay $2 per hour for those t hours.

Expression = 2 x t = 2t

Whole expression including the fixed amount is:

5 + 2t

If Dylan parked for 6 hours therefore, he would pay:

= 5 + 2 t

= 5 + 2 x 6

= $17

Dylan would therefore have to pay $17 if he left his car for 6 hours.

Find out more at https://brainly.com/question/21294839.

2. Solve Equation Below Please Help!!

Answers

Answer:

n = 19

Step-by-step explanation:

get the -37 to the other side and solve it

Answer:

3rd answer

Step-by-step explanation:

-37+n=56

n=56+37

n=93

2. If Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school, how many combinations of fruit can he bring?

Answers

Answer:

6 choose 3 = 20

Step-by-step explanation:

[tex]=\frac{n!}{r!\left(n-r\right)!}[/tex]

6 choose 3 = 20

The total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school

Total number of fruits = 1+1+1+1+1+1

Total number of fruits = 6

n = 6

He wants to bring three pieces of fruit to school,

r = 3

Total combination:

= C(6, 3)

= 6!/(6-3)!3!

= 720/(6)(6)

= 720/36

= 20 combination

Thus, the total combinations of fruit he can bring is 20 if Bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school the answer is 20.

Learn more about permutation and combination here:

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Find the sum of square root 5 and 2 square root 16 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.

Answers

Answer:

sqrt(5) + 8

The result is irrational because the sqrt(5) is a non-repeating, non terminating decimal that cannot be written as a fraction.

Brainliest, please!

Step-by-step explanation:

sqrt(5) + 2sqrt(16)

sqrt(5) + 2(4)

sqrt(5) + 8

The sum of square root 5 and 2 square root 16 in simplest form is, √5 + 8 and it is irrational number

What is square root?

In mathematics, square roots is a concept in which, if we multiply square roots of any number by itself then it will give us an original number.

if 'a' is square root of 'b' then it will represent as, a = √b.

Given that,

Two numbers

square root 5

2 square root 16

sum of square root 5 and 2 square root 16 in simplest form = ?

Sum  =  √5  + 2√16

         =  √5  +  2×4

         =    √5 + 8

the maximum possible simplest form is √5 + 8

As it is clear that, it is a irrational number

Because, √5 can not be written in P/Q form

Hence, the sum is √5 + 8

To know more about square root check:

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i need help asap im timed

Answers

Answer:-

Refer to attachment for the required solution.

Answer:

Step-by-step explanation:

Look at this cube:

If the side lengths are doubled, then which of the following statements about its surface area will be true?

Answers

9x9 = 81
81x6=486 (old total surface area)

18x18 =324
324x6 = 1944 (new total surface area)

1944 : 486
4 : 1 (new to old)
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