A bicycle wheel has outer diameter 32cm. How far will the cyclist travel if the wheel rotates 100π times? Give your answer in kilometres and correct to two decimal places.

Answers

Answer 1

Answer:

[tex]T=0.3142km \\T=0.31km\ to\ 2dp[/tex]

Step-by-step explanation:

Diameter [tex]d=32cm=0.32m[/tex]

Number of rotations [tex]N=100\pi[/tex]

Generally the circumference of the wheel is mathematically given as

[tex]C=2\pi r[/tex]

[tex]C=2\pi (0.32)^2/4[/tex]

[tex]C=1.005309649m[/tex]

[tex]C=1.0m[/tex]

Generally the total distance traveled  T is mathematically given as

[tex]T=N*C[/tex]

[tex]T=100\pi *1m[/tex]

[tex]T=314.1592654m \approx 314.16m[/tex]

Total distance traveled  T in Kilometres

[tex]T=314.1592654m[/tex]

[tex]T=\frac{314.1592654m}{1000}[/tex]

[tex]T=0.3142km \\T=0.31km\ to\ 2dp[/tex]


Related Questions

Use the given similar triangles to find the value of x
I need the answer fast please!!

Answers

Answer:

I believe the answer is x=7

Step-by-step explanation:

3x and 4x-1 are corresponding sides and so are 14 and 18.

You cross multiply with the smaller triangle lengths at the top.

3x/(4x-1)= 14/18

Cross multiply to get

18(3x)= 14(4x-1)

54x=56x-14

Subtract 54x on the other side and add 14 to the other (or subtract 56x to the other side)

you get 14=2x and divide 14 by 2 to get x=7

EASY QUESTION!! is 12.0095 the same as 12.95?

Answers

no it is not the same

Answer:

no

Step-by-step explanation:

not the same

what year was the best 2020 or 2019 lol I think we all know the answer

Answers

Answer:

2019 obviously!!!!!!!!!!

2019 because 2020 was the worst year lol

Complete the factored form of the linear expression 21x + 14y = ( ) ( + )​

Answers

Answer:

21x+14y

=7(3x+2y) taking common 7

James sat an English quiz. He scored 7 out of 8 what percentage did he get right?

Answers

Answer:

James scored 87.5% in the test.

Step-by-step explanation:

7 x 100 : 8 = 87.5%

What is the hardest part of solving a triangle with 2 sides given for you?

Answers

Answer:

As long as you understand the principles and rules of trig you can apply them to just about any problem. The hardest thing about word problems is understanding what they are asking.

Step-by-step explanation:

Please answer These. must have them quick! **60 POINTS**

Answers

Answer:

1: x = 47, y = 902: x = 92, y = 88, z = 923: 284: x = 90, y = 855: 133

Explanation:

[1] - A

y = 90 (90 degree angle)

90 - 43 = 47, so x = 47

[2] - C

x = 92 because 180 - 88 = 92

x = 92 and y = 88 because 92 + 88 = 180

[3] - C

x = 28 because 90 - 62 = 28

[4] - D

x = 90 because 180 - 90 = 90

y = 85 because 42 + 53 = 95, 180 - 95 = 85

[5] - A

x = 133 because 180 - 47 = 133

- PNW

X + 3 =8
X- 5 =7
Please someone help?

Answers

Step-by-step explanation:

x+3=8

8-5=3 so x=5

7+5=12 / 12-7=5

12-5=7

Answer:

the answer is (1) x = 5 (2) x = 12

Find the coordinates of the midpoint ofL(2, -4), M(4, 6)

Answers

Answer:

[tex]\displaystyle (3,1)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point L(2, -4)

Point M(4, 6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [MF]:                    [tex]\displaystyle (\frac{2+4}{2},\frac{-4+6}{2})[/tex][Fraction] Add:                                     [tex]\displaystyle (\frac{6}{2},\frac{2}{2})[/tex][Fraction] Divide:                                 [tex]\displaystyle (3,1)[/tex]

A bakery uses 300 pounds of flour to make 120 wedding cakes of the same size. At this rate how many pounds of flour are needed to make 1 wedding cake?Please answer the question

Answers

The answer is 13 minutes and b

Answer:

2.5 pounds

Step-by-step explanation:

I got a 100 on this text

Solve for r: P= 2 r + 2x

Answers

Answer:

The correct answer is,

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

Create a story for the following function: y=15,000 - 250x please help!!

Answers

Answer:

just search and then thats it

Find value of X please​

Answers

Answer:

x=7

Step-by-step explanation:

Step #1- Set the two lines equal to each other

10+12=x+15

Step #2- Solve for the line you have all values for

10+12=22

Step#3- Plug 22 back into the equation where the two lines are set equal to each other

22=x+15

Step #4- Solve for X algebraically

22=x+15

22-15=x

7=x

If I add 3 to the left side of the equation, what do I have to do to the right side of the equation?

Question 3 options:

nothing


subtract 3


add 3


multiply by 3

Answers

Add 3 because whatever you do to one side you have to do to the other

Details: Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21600 Find the number of trucks that can be shipped if there are no cars.​

Answers

Given:

The equation is

[tex]3.6y+7.5x=21600[/tex]

where, y is the number of cars and x is the number of trucks shipped.

To find:

The number of trucks that can be shipped if there are no cars.​

Solution:

We have,

[tex]3.6y+7.5x=21600[/tex]

If there are no cars in the cargo ship, then y = 0 because y is the number of cars.

Putting y=0 in the given equation, we get

[tex]3.6(0)+7.5x=21600[/tex]

[tex]0+7.5x=21600[/tex]

[tex]7.5x=21600[/tex]

Divide both sides by 7.5.

[tex]x=\dfrac{21600}{7.5}[/tex]

[tex]x=2880[/tex]

x is the number of trucks shipped.

Therefore, the number of trucks that can be shipped if there are no cars is 2880.

Is the set of ordered pairs presented in the arrow diagram a function?Explain.

Answers

Answer:

no

Step-by-step explanation:

a function cant have the same range

Answer:

Functions as Arrow Diagrams When the domain and codomain of a function are finite sets then one can represent the function by an arrow diagram. Remember that an arrow diagram represents a function if exactly one arrow must leave each element of the domain and point to one element in the codomain.

Step-by-step explanation:

6 of 12
A car travels a distance of 180 km in a time of 3 hours.
What is the car's average speed?
km/h

Answers

Answer:

60km/h

Step-by-step explanation:

180 ÷ 3 = 60

60km/h

what is the slope of the line that contains points (3,-9) and (-2,16) please help !!

Answers

Slope = Change in Y / change in x

Slope = (16 - -9) / (-2 - 3)

Slope = 25/-5

Slope = -5

HELP WITH MATH WILL GIVE 10 POINTS, GOOD RATING, AND BRAINIEST

Answers

Answer:

ok.....mmmm............

Answer:

whats the ?

Step-by-step explanation:

anyone know this? just click on the photo

Answers

Answer:

6x - 4

Step-by-step explanation:

6x -4 is the answer to that question

Paisley set up the following equation to solve a math problem: 33 + 57 + x = 180. What could the x represent?

Answers

The x represents 90.

The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?

Answers

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

Given f(x) = 2x + 2, solve for x when f(x) = -4


Anyone know the answer? ​

Answers

x=-2 I’m pretty sure that’s the answer! :)

Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent

Answers

Answer:

 [tex]no[/tex]

Step-by-step explanation:

Lets solve the first half.

[tex]-4 ( x - 6) = -4x + 24[/tex]

Second one:

[tex]-4 times x - 4 times 6 = -4x -24[/tex]

Now compare.....Not the same right??

So your answer is:  [tex]no[/tex]

Hope this helps :)

really need help i am failing these lessons
Mali ran 21 miles in 3 hours. How many miles could she run in 5.5 hours?

62.2 miles
30 miles
38.5 miles
40.5 miles
3.

Solve the word problem using unit rates.

Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?

69 multiplication problems
54 multiplication problems
92 multiplication problems
46 multiplication problems
4.


Find the fraction as percent.
15%
12%
17%
14%
5. \


Solve the proportions.
4.25
10
8
9
6.

Find the fraction as percent.
0.7%
70%
0.07%
7.0%
7.

Answers

Answer:

thats a long question ong

Step-by-step explanation:

A new car is purchased for $32,500. The car depreciates every year ata
rate of 14%. Write an exponential function that represents that situation

Answers

Answer:

[tex]y=32500(0.86)^{x}[/tex]

Step-by-step explanation:

General exponentially depreciating function is given as

[tex]y= a(1-b)^{x}[/tex]------------(1)

Where a is initial value, b is percent depreciation/unit time  and x is time

Here

[tex]a=32,500 \ \ \ b=0.14 \ \ \ and \ \ x \ is \ time \ in \ years[/tex]

Substituting above values in equation (1)

[tex]y=32500(0.86)^{x}[/tex]

At x=0

[tex]y=32500(0.86)^{0}\\y=32500[/tex]

At x=1

[tex]y=32500(0.86)^{1} \\y=27950[/tex]

acceleration of a runner who goes from 1.4 m/s to 2.2 m/s in 4 s

Answers

Answer:

acceleration is 0.2m/s²

Step-by-step explanation:

Vf=Vi+at

Lets susbtitute our known variables into the equation

2.2=1.4+a(4)

We get

a=0.2m/s²

32°
C
B
D
E
What is the measure of ZABD?
A 32°
B. 58°
O c. 64°
OD. 148°
O E. 180°

Answers

I think it’s C


I hope it’s right

The measure of angle ZABD is 106°, the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The line AE and CD

Now,

The angle sum property to find angle D:

Z + A + B + D = 360° Substitute the given values:

Z + 32 + 58 + D = 360 Simplify:

Z + D = 270 Subtract Z from both sides:

D = 270 - Z

Now, you need to find angle Z. To do that, you can use the fact that opposite angles in a quadrilateral are supplementary, meaning they add up to 180°2. So, angle Z and angle C are supplementary:

Z + C = 180°

You can use the fact that C is an exterior angle of triangle YZX and it is equal to the sum of the opposite interior angles3. Therefore, C = Y + X. Substitute this value:

Z + Y + X = 180°

You are given that Y = 10° and X = 6°. Substitute these values:

Z + 10 + 6 = 180 Simplify:

Z = 164

Now, you can use this value to find angle D:

D = 270 - Z Substitute Z = 164:

D = 270 - 164 Simplify:

D = 106

Therefore, by algebra the answer will be 106°.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

Enter an expression equivalent to (a^9/a^3) in the form a^m

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a^{9} }{a^{3} } =>[\frac{a^{3} }{a} ]^{3}[/tex]

Could someone confirm if I was correct?

Answers

compare to the correct answer on the picture. If not helped you can use a graph calculator and it should let you know wether or not you’re correct

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