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

simplify
10^-2
10^3
-1
a. -100,000
b. -1/10
c. 1/10
d. 100,00

Answers

Answer:

c which is equal 1/10 that is the answer

Answer:

D

Step-by-step explanation:

Just got it correct on edgunuity

Х
y
0
-3
O
6
Given the table, write the equation in
the slope-intercept form.
3
12
6
18
y = 1/3x + 6
y = 1/2x + 6
y = 3x + 6
y = 2x + 6

Answers

Answer:

the answer is blue because -3 to 0 takes 1 step right and 3 steps up

If AC = 2x + 3 and DB = 4x - 1, find x.

Answers

The answer is x= 5 it’s 5

How would u solve this??

Answers

Answer:

n=1, m=3, and p=-4

Step-by-step explanation:

Take the fourth root of both sides

so x^n*y^m*z^p=x*y^3*z^-4;

notice z has a negative exponent because it was in the denominator

therefore, n=1, m=3, and p=-4

if x+2=3 what is x please help

Answers

Answer:

1

Step-by-step explanation:

Submit 10
Question 1 of 40 POS
The area of a rectangular tabletop is 24 ft.^2 lThe length of the table is 2
longer than its width. Which equation could be used to find the width (w) of the tabletop?
0 24 = 2 + 2
O 24 = +
O 24 - 22
O 24 = 22 + 2

Answers

Answer:

The equation required to find Width of rectangle is: [tex]\mathbf{24=2x+2}[/tex]

Step-by-step explanation:

Area of rectangular table top =  24 ft^2

Let width of table = x

Length of table = x+2

We need to find equation that could be used to find the width (w) of the table top?

The formula used is: [tex]Area\:of\:rectangle=Length \times Width[/tex]

Putting values in formula and finding the equation:

[tex]Area\:of\:rectangle=Length \times Width\\24=x+x+2\\24=2x+2\\[/tex]

So, the equation required to find Width of rectangle is: [tex]\mathbf{24=2x+2}[/tex]

The options given are not complete. So please verify your answer.

Pls help me!! I have to be somewhere in a hour and I’ve been stuck on this for awhile now. Thank you so much!!!

Answers

I don’t understand sorry

I NEED THE ANSWER FAST PLEASE!!

Answers

Answer:

1185

Step-by-step explanation:

A Parallel Line means the slope must be the same as the Given Line. A Perpendicular Line means the slope must be the negative reciprocal of the Given Line.

For Row A: Parallel is 12, Perpendicular is 6

For Row B: Parallel is 2, Perpendicular is 11

For Row C: Parallel is 9, Perpendicular is 16

For Row D: Parallel is 4, Perpendicular is 13

In Row E's case, 0 doesn't have a negative reciprocal, so you go with the equation that has a straight line down but no Y-Intercept.

For Row E: Parallel is 15, Perpendicular is 7

Row A = 72

Row B = 22

Row C = 144

Row D = 52

Row E = 105

Sum = 395

Code = 395 × 3 = 1185

CAN SOMEONE PLEASE QUICKLY HELP ME WITH THIS? TEN EASY POINTS. JUST LOOK AT THE PICTURE.
I need help fast.

Answers

Answer:

Relative max : -4

Relative min: -4.5

Step-by-step explanation:

You have to look at the graph and identity the max as the highest point that is an actual point and identity the min as the lowest point that is an actual point.

Subtracting Radicals
Combine the radicals gvx-37x.
5rx
–6/2x
-6

Answers

Given:

The expression is

[tex]9\sqrt{x}-3\sqrt{x}[/tex]

To find:

The result after subtracting the radicals.

Solution:

We have,

[tex]9\sqrt{x}-3\sqrt{x}[/tex]

We need to combine these terms.

Taking out common factors, we get

[tex]=(9-3)\sqrt{x}[/tex]

[tex]=6\sqrt{x}[/tex]

The result after subtracting the radicals is [tex]6\sqrt{x}[/tex].

Therefore, the correct option is B.

How is the image of a figure that is dilated related to the original figure?
It is congruent.

It is equivalent.

It is similar.

It is rotated.

Answers

what’s the image like?
I believe it is congruent

Two points A and B are given by A(−1,a) and B(b,5).The equation of the perpendicular bisector of AB is given by y=2x−3

Find the values of a and b.

Answers

Answer:

tty5bujnvdgfvbh

Step-by-step explanation:

Carlos ran 23.7 miles less than Lisa last week. Carlos
ran 8.3 miles. How many miles did Lisa run? Write an
equation to show the number of miles Lisa ran. Let m
represent the miles Lisa ran. Show your work.

Answers

Answer:

Step-by-step explanation:

23.7 < m = 8.3      m > 23.7

-3 < x - 4 um plz help

Answers

Answer:

x>1

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3<x−4

Step 1: Flip the equation.

x−4>−3

Step 2: Add 4 to both sides.

x−4+4>−3+4

x>1

Answer:

x>1

Hope this helps :)

A museum gift shop manager wants to put 1,588 polished rocks into small bags to sell as souvenirs. If the shop manager wants to put 14 rocks in each bag, how many complete bags can be filled? How many rocks will be left over?

Answers

Answer:

113 bags could be filled and 6 rocks will be left.

math club has 36 members of which 13 are males and the rest are females. what is the ratio of females to males.​

Answers

you would have to subtract 13 from 36 to find the amount of females.

36-13 = 23

there must be 23 females

23:13 is the ratio

Look at this information about recycling:
20 large plastic bottles can be recycled to make 1 fleece jacket
How many fleeces can be made with 280 large plastic bottles?

Answers

Answer:

14 fleeces can be made from 280 large plastic bottles.

Step-by-step explanation:

Given that:

20 large plastic bottles can be recycled to make 1 fleece jacket.

Ratio of bottles to jacket = 20:1

Number of large plastic bottles = 280

Let,

x be the number of fleece jackets.

Ratio of large bottles to fleece jackets = 280 : x

This is a proportional relationship.

20 : 1 :: 280 : x

Product of mean = Product of extreme

280 = 20x

20x = 280

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{280}{20}\\x = 14[/tex]

Hence,

14 fleeces can be made from 280 large plastic bottles.


Question 1
Which one is the the shortest
2 feet
2 inches
2 meters
2 centimeters

Answers

Answer:

2 centimeters is the shortest


Outside Gretchen's house at noon, the temperature was -5° F. The temperature fell 2° F per hour for the next 6 hours.
What was the temperature at 6:00 p.m.?

Answers

At 6pm, the temperature is -17 degrees Fahrenheit.

Which of the following is not true about the inverse of f (x) = -3x+5/2

Answers

Answer:did you get the answer?

Step-by-step explanation:

please help me. ill mark brainliest, heart answer, and rate 5 stars.

Answers

Answer:

A

Step-by-step explanation:

points (:

Answer:

roar

Step-by-step explanation:

Which expression is equivalent to -12(3x-)?
-36X-8
-36x+8
-36x-9
-36x+9
HELP ME PLS BRAINLY ISNT LETTING ME LOOK AT ANSWERS

Answers

-36×+9 is equivalent to this question.

If you can purchase 5 pounds for $4, how many pounds can you purchase for $16? *
a. 20
b. 16
c. 25
d. 24

Answers

Answer:

a. 20

Step-by-step explanation:

just multiply 5 and $4 by 4

Yesterday I ran 9.6 miles at an average speed of 0.4 miles per 5 minutes. How long did it take me to run the 9.6 miles?​

Answers

Answer:

2 hours

Step-by-step explanation:

9.6/(60/5 x 0.4) = 2 hours

/ = divide

x = multiply

A football player kicks a 0.94 kg football with a force of 2.4 N.

Calculate the acceleration of the football as the player kicks the ball. Round your answer to the nearest tenth of a m/s2.

The acceleration of the football is
______m/s2.

Answers

Answer:

2.6m/s^2

Plzzzz give me Brainliest!

what is (f(x)) x (g(x))?

Answers

hhhhhhhhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

ice cream lol hahahhaahahaah☝️‍♀️

Anthony found a sweater on sale for 15% off! The discount price of the sweater before tax is $22.74. What is the regular price of the sweater before the discount?

Answers

9514 1404 393

Answer:

  $26.75

Step-by-step explanation:

The after-discount price is 85% of the original price. So, the original price is ...

  0.85 × p = 22.74

  p = 22.74/0.85 = 26.75 . . . . . divide by the coefficient of p

The regular price is $26.75.

answer this question please!

Answers

Answer:

The answer is D.

Step-by-step explanation:

To solve, simply take .5 and multiply it by the number of minutes since after 1 minute .5 mL will be released. Therefore, after 4 minutes the patient will have 2 mL, 4 after 8 minutes, and 6 after 12 minutes. The only table that matches this pattern is D, our answer.

what is the constat rate of change shown in the graph below

Answers

There is no graph picture below
post it again with the graph in the question

I WILL GUVE BRAINLIEST PLEASE HELPPPP pLz algebra one

Answers

Answer:

[tex]\displaystyle L=4x^{4}y^{8}z^{12}[/tex]

Step-by-step explanation:

The Volume of Rectangular Prism

Given a rectangular prism of width W, height H, and length L, its volume is calculated as follows:

V = WHL

We are given the volume of a rectangular prism:

[tex]V=72x^8y^{14}z^{22}[/tex]

It's also known the width is:

[tex]W=6x^3y[/tex]

And height

[tex]H=3xy^5z^{10}[/tex]

Substituting in the formula, we solve for L:

[tex]72x^8y^{14}z^{22}=(6x^3y)*(3xy^5z^{10})L[/tex]

[tex]\displaystyle L=\frac{72x^8y^{14}z^{22}}{(6x^3y)*(3xy^5z^{10})}[/tex]

Operating the denominator

[tex]\displaystyle L=\frac{78x^8y^{14}z^{22}}{18x^4y^6z^{10}}[/tex]

Dividing:

[tex]\displaystyle L=4x^{8-4}y^{14-6}z^{22-10}[/tex]

Simplifying:

[tex]\boxed{\displaystyle L=4x^{4}y^{8}z^{12}}[/tex]

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