John's bicycle covers 60 inches in one revolution. What
is the radius of his tire?

Answers

Answer 1

Answer:

The radius is equal to  [tex]\frac{30}{pi}[/tex]   or about 9.5 inches

Step-by-step explanation:

A revolution is the same as the circumference,

which can be found using C = 2πr

C = 2πr

60 = 2πr

(2π)r = 60

r = [tex]\frac{60}{2pi}[/tex]

r = [tex]\frac{30}{pi}[/tex] or about 9.5 inches

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather


Related Questions

A pan balance has 3cubes on one pan and 11 cubes on the other pan. Lucy thinks she should add 7,8,9 or 10 cubes to make the pans balance how can you use the equation 3+c=11 to find the number of cubes lucy should add

Answers

Answer:

c = 8

Step-by-step explanation:

Solve for C

3 + c = 11.    subtract 3 from both sides

c = 8

Answer:

8

Step-by-step explanation:

3+c = 11

c = 11-3

c=8

A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 13°
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 22°
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

198.6

Step-by-step explanation:

see pic

The bottom of ladder must be placed 3 feet from wall.The ladder is 10 feet long. How far above the ground does the ladder touch the wall?

Answers

Answer:

9.54ft

Step-by-step explanation:

This problem uses pythagoras theorem as the ladder and the wall make a triangle.

A

B                    C

Points A, B and C represent this problem. BC is 3ft, AC is 10ft and AB is x, now we sub this information into pythagoras theorem formula

3^2+b^2=10^2

Rearranged this is,

b^2=10^2-3^2

b^2=91

b=[tex]\sqrt{91}[/tex]

b=9.54

The above is rounded to two decimal places

Which equation represents the rectangular form of r= 8?

Answers

Answer:

B

Step-by-step explanation:

put both sides under square root.

x^2 + y^2 = 64

sqrt ( x^2 + y^2 ) = sqrt(64)

x + y = 8

r = 8.

[tex]\underline{r^2=x^2+y^2} \\\\\\ x^2+y^2=64\implies r^2=64\implies r=\sqrt{64}\implies r=8[/tex]

At a grocery store, tasting cups are used to let customers try a
new brand of chicken stock. An ounce of chicken stock can be filled up by 5 tasting
cups. Each carton of chicken stock is 16 oz. if 5,630 customers tried the chicken stocks in
one day, they drank about ____ cartons of chicken stock.

A. 70
B. 110
C. 350

Answers

The answer is the most easier answers is 70

Write the slope-intercept form of
the equation of the line described
through: (2.0), perp. to y=-2x+2

Answers

Answer: Y= 1/2X+5

Step-by-step explanation: Equation of the line

The slope-intercept form of a line is given by:

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

We are given the line:

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

The required line contains the point (-8,1), thus the equation is:

Removing the parentheses:

Adding 1:

Operating:

width is 4 cm hight 8 cm how much square

Answers

Answer: The square is 32

Step-by-step explanation:

In - order to find the size of the square you must do width times height . . .

What is 4 x 8 ? 32

An executive for the movie production company wants to create a function that models this data. . Create a function that can be used to model the data shown in the table . Be sure to define the variables and provide justification for your choice of function . Discuss any possible domain restrictions which should be placed on your model . Use your model to estimate the box office gross the company should expect in week 10 .

Answers

Functions can be modeled by equations, tables and graphs

The equation that models the function is [tex]y = \frac 14x +1[/tex]The domain of the function is the set of whole numbersThe company should expect 4 box office gross in week 10

How to determine the function

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

Substitute known values

[tex]m = \frac{2 - 1}{4 - 0}[/tex]

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) +y_1[/tex]

This gives

[tex]y = \frac 14(x -0) +1[/tex]

[tex]y = \frac 14x +1[/tex]

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

[tex]y = \frac 14 * 10 +1[/tex]

[tex]y = 3.5[/tex]

Approximate

[tex]y = 4[/tex]

Hence, the company should expect 4 box office gross in week 10

Read more about linear functions at:

https://brainly.com/question/15602982

Use the bar diagram to write an equation. Then solve for x.

Answers

Post the question and diagram

Answer:

we need to know the question

Step-by-step explanation:

The equation for the area of a circle is given.

A=πr2

If the radius (r) of the circle is 3, what is the area in terms of π?



3π2

9π2

Answers

[tex]A=\pi r^2; r=3 =>\\\\A=\pi \times3^2\\A=9\pi[/tex]

Answer: [tex]9\pi[/tex]

The heart rate of 10 football players is sampled. The rates, measured in beats per minute, are

62, 74, 74, 64, 76, 64, 80, 76, 68, 76

What is the best estimate of the population mean for heart rate among football players?



Enter your answer in the box.

beats/min

PLEASE ANSWER ASAP

Answers

Answer:

I know that I saw that on social

Answer:

71.4

Step-by-step explanation:

add all together and divide by the number of players.

PLEASE HELP NO LINKS, MAY PIN FILES, OR TYPE BOX THANK YOU FOR ANSWER​

Answers

Answer:

1. Paul has mixed up the translation of the ordered pair.

New location: (1, 5)

2. Option C :  E = (3, 2)  F = (8, 4)  G = (5, 7)

Step-by-step explanation:

An ordered pair is a pair of numbers, (x,y) , written in a particular order.

It is often used to represent a point on a coordinate plane.

1.  From inspection of the diagram, the market is located at (3, 8)

Paul's mistake is that he has mixed up the translation of the ordered pair.  He has moved the market 3 to the left and 2 units down instead of the required 2 to the left and 3 units down.

The correct ordered pair for the new location of the market is (1, 5)

2. For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (along the y-axis).  

E = (3, 2)

F = (8, 4)

G = (5, 7)

The admission fee at a water park is $9 for children and $15 for adults. On a certain day, 220
people entered the park, and the admission fees collected totaled $2640. How many children and
how many adults were admitted? Let x represent the number of children and y represent the
number of adults.
Total Equation:
Cost Equation:
The number of children admitted was
The number of adults admitted was

Answers

you basically want to write the total number of people using x and y for children and adults, and then write the cost function using the values you know for the ticket prices. next, you want to want to rearrange your total people equation so that you can write either x in terms of y or y in terms of x. finally, you can plug that into your cost equation and solve. (you then use the rearranged total people equation to solve for the other variable).

hope this helps :)

Find the equation (in terms of x ) of the line through the points (-4,-4) and (2,4)

Answers

Answer:

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)\rightarrow(-4,-4)[/tex] and [tex](x_2,y_2)\rightarow(2,4)[/tex]:

Determine slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{4-(-4)}{2-(-4)}\\ \\m=\frac{4+4}{2+4}\\ \\m=\frac{8}{6}\\ \\m=\frac{4}{3}[/tex]

Use either coordinate point to find "b", the y-intercept

[tex]y=mx+b\\\\4=\frac{4}{3}(2)+b\\ \\4=\frac{8}{3}+b\\ \\\frac{4}{3}=b[/tex]

Final Equation

[tex]y=\frac{4}{3}x+\frac{4}{3}[/tex]


A computer repair shop charges a $25 fee in
addition to $40 per hour to service a computer.
Write an equation to represent the total cost to
service a computer. Identify your variables.

a) What is the rate of change
b) What is the initial value
c) What is the independent variable
d) What is the dependent variable

Answers

Answer:

F=40h+25

a) 40 per hour

b) 25

c) hours

d) how much it costs

What is the percent of change from 55 to 22?

Answers

Answer:

40 percent

Step-by-step explanation:

22/55 = 0.4

0.4 = 40%

check answer: 55 x 0.4 = 22

The magic number is -15. Combine each statement with the magic number and determine if it will result in zero. _______ a. An elevator rises 15 floors. _______ b. $15 is withdrawn out of your account. _______ c. The temperature rises 15 degrees.

Answers

Answer:

A. is 0

B. is -30

C. is 0

Step-by-step explanation:

Hope this helps!

The correct answers are:

0-300

Calculations

We are asked to combine the magic number -15 with the given statements.

Hence, if we combine the magic number with the given statements, we would have:

a. -15 + 15 = 0

b. -15 + (-15)= -30.

c. -15 + 15 = 0.

Hence, the answers are 0, -30 and 0 respectively.

Read more about magic numbers here:

https://brainly.com/question/5023206

PLEASE HELP ITS DUE TODAY PLEASE HELP ASAP 15 POINTS PLEASE HELP​

Answers

Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

Answer:

210 cm³

Work:

6×7=42

42×5=210

Step-by-step explanation:

When finding volume of a cube or rectangular prism you do the same thing as when you find the area of a square or rectangle, which is multiply the dimensions.

We see it is 7 cubes long, 6 cubes wide, and 5 cubes tall. To find the volume multiply all of these values together.

7×6×5=210

So, the volume of the prism is 210 cubes. Sense each cube is 1 cm³ the answer to the problem is 210 cm³

Please help me figure these out!

Answers

Step-by-step explanation:

just u have to put the values of sin and cos and you will get the answer

hope u get help

find the mean of 12 ,10,12,14,8,15,8,9,6,5​

Answers

Answer:9.9

Step-by-step explanation:

Add up the scores and dividing the total by the number of scores.

Answer:

9.9

Step-by-step explanation:

12+10+12+14+8+15+8+9+6+5 =99

99÷10=9.9

24 liters of water is pumped in 20 seconds

How long will it take to pump 84 liters?



pls help​

Answers

Answer:

70 s

Step-by-step explanation:

24 L = 20s

84 L = 20×84/ 24

= 70 s

There are 11 rainbows that total 1,011 miles in total. What is the mean length of the rainbows?

Answers

It can be seen that the value of the mean computed will be 91.9 miles.

How to calculate the mean

A mean simply means the average of a set of numbers. In this case, there are 11 rainbows and thete are total of 1,011 miles.

Therefore, the mean of the numbers will be:

= 1011/11

= 91.9 miles.

In conclusion, the correct option is 91.9 miles.

Learn more about mean on:

https://brainly.com/question/1136789

Write and equation in slope intercept form of the line that has a slope of -6 and passes through the point (3,-4).

Answers

Hi! I will help you with a smile!

First of all, we have the slope of the line and a point that it passes through.

Let’s write the line’s equation in Point-Slope Form:

y-y1=m(x-x1)

Where

y1 is the y-coordinate of the point, m is the slope of the line, and x1 is the x-coordinate.

In this case, y1=-4, m=-6, and x1=3

Solve:

y-(-4)=-6(x-3)

y+4=-6x+18

y=-6x+18-4

y=-6x+14 (Answer)

Hope it helps.

Do comment if you have any query regarding my answer.

Answered by

PeacefulNature :-)

Answer:

y = -6x+14

Step-by-step explanation:

m = -6 ,given as x an y (3,-4)

solution y-y1 = m(x-x1)

y-(-4) = -6(x-3)

y+4 = -6x+18

then y = -6x+18-4

y = -6x+14

5x+15+10x+7

5(x+3)+2x+7

Answers

Step-by-step explanation:

1. Combine Like Terms (Add):

[tex]5x+15+10x+7[/tex]

[tex]15x+22[/tex]

2. Use Distributive Property:

[tex]5(x+3)+2x+7[/tex]

[tex]5x+15+2x+7[/tex]

Combine Like Terms:

[tex]7x+22[/tex]

Two positive integers differ by 9. If the squares of the integers are added, the result is 125. Find
the two integers.

Answers

Answer:

x - y =9

x^2 + y^2 = 125

2^2 + 11^2 = 125

11-2 = 9

Thus, the two numbers are 2 & 11.

Hope this helps!

ASAP 50 POINTS! Please help with this, it's about angle bisectors.

Answers

Step-by-step explanation:

let's name the 2 sides of the bisected angle a and b.

and the 2 segments (created by the bisector) of the opposite side x and y.

then we have

a/b = x/y

question 1

14/21 = x/15

1/3 = x/15

15/3 = x = 5

question 2

8/y = 4/6

8×6 = 4y

48 = 4y

y = 12

question 3

3/4.5 = z/1.5

3×1.5 = 4.5z

4.5 = 4.5z

z = 1

question 4

16.5/p = 11/(29-11) = 11/18

16.5×18 = 11p

297 = 11p

p = 27

question 5

7/13 = (15-x)/x

7x = 13×(15-x) = 195 - 13x

20x = 195

x = 195/20 = 39/4 = 9.75

Use IF functions to calculate the regular pay and overtime pay based on a regular 40-hour workweek in cells E5 and F5. Pay overtime only for overtime hours. In cell G5, calculate the gross pay based on the regular and overtime pay. Abram’s regular pay is $398. With 8 overtime hours, Abram’s overtime pay is $119.40.

Answers

Excel formulas are expressions used to perform computation.

The Excel formula to enter in cell E5 is =IF(D5<$B$21,D5,$B$21) * C5The Excel formula to enter in cell E5 is =IF(D5>$B$21,(D5-$B$21) * C5 * $B$22, 0)The regular pay

From the complete question, cell B21 represents base work hour

So, we start by checking if the work hour in cell D5 is less than the base work hour in cell B21

If yes, the work hour remains D5; otherwise the work hour is cell B21

The work hour is then multiplied by the rate in cell C5

Hence, the Excel formula to enter in cell E5 is =IF(D5<$B$21,D5,$B$21) *

The overtime pay

Here, we start by checking if the work hour in cell D5 is greater than the base work hour in cell B21

If yes, the overtime hour the difference between D5 and B21; otherwise the overtime hour and pay is 0

The over time hour if there is, is then multiplied by the rates in cells C5 and B22

Hence, the Excel formula to enter in cell E5 is =IF(D5>$B$21,(D5-$B$21) * C5 * $B$22, 0)

Read more about Excel formulas at:

brainly.com/question/1285762

what is 1 2/10 divided by 1 4/10

Answers

Answer:

The answer is 6/7

Step-by-step explanation:

Answer:
The answer is 6/7

How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is Choose. Units. The width of the rectangle is Choose. Units. The area of the rectangle is Choose. Square units. The area of the triangle is half the area of the rectangle, so the area of the triangle is Choose. Square units.

Answers

The area of the triangle can be found by copying the triangle and putting the bases together such that it forms the diagonals of the triangle.

What is the area of the triangle?

The area of the triangle is half the product of the height of the triangle and the base of the triangle.

As we know that the area of a rectangle is double the area of a triangle,

therefore, in order to calculate the area of a triangle we need to convert it to a rectangle and then divide the area of the rectangle by 2.

Also, we know that the diagonal of a rectangle divides it into two equal triangles, therefore, we will put the triangle along the diagonal of the base.

Thus, to find the area of the triangle we will copy the triangle and put the base of the together such that it forms the diagonals of the triangle.

Since the triangles are put on each other along the base, therefore, the height(h) of the triangle will be the length of the rectangle, and the breadth of the triangle will be equal to the base of the triangle(b).

Learn more about Area of Triangle:

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Ai need help please 43

Step-by-step explanation:

please just need help

I add 12 to a certain number and then double the result. The answer is 42. Find the original number​

Answers

(X+12)*2=42
2x+24=42
2x=42-24
2x=19 divided by two
X=9.5

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