Carlos builds a robot that moves on small wheels. Each wheel has six 5-inch-long metal spokes that meet in the center. What the length of an arc between two consecutive spokes?

Express your answer as a simplified fraction in terms of \piπ.

Carlos Builds A Robot That Moves On Small Wheels. Each Wheel Has Six 5-inch-long Metal Spokes That Meet

Answers

Answer 1

The length of an arc between two consecutive spokes is 5π/8 in.

Length of an arc

The length of an arc L = rФ where

r = radius of circle = 5 in/2 = 2.5 in and Ф = angle subtended by arc in radians = 2π/n where n = number of sectors in circle = 8

So, L = rФ

L = r × 2π/n

L = 2πr/n

Substituting the values of the variables into the equation, we have

L = 2πr/n

L = 2π × 2.5 in/8

L = 5π/8 in

So, the length of an arc between two consecutive spokes is 5π/8 in.

Learn more about  length of an arc here:

https://brainly.com/question/8402454


Related Questions

Each of the equal sides of an Isosceles Triangle is 4 times the third side. The perimeter of the triangle is 144 inches. Find the sides of the Triangle.

Answers

Answer:

16 + 64 + 64 are the 3 sides.

Step-by-step explanation:

There are two sides that are 4 times the third side.

Let the 3rd side = x

4x + 4x + x = 144 inchines

9x = 144 inches

x = 144/9

x = 16 inches.

So the base (which is the smallest side) = 16 inches.

One of the two sides remaining is 4x = 4*16 = 64

The other side = 64

Check

64 + 64 + 16 = 144 as it should.

Answer:

Step-by-step explanation:e

Becka says that when she simplifies the expression below, the value is 6 less than her age. What is Becka’s age?
(7 + 11) − 8 ÷ 2

Answers

Answer:

20

Step-by-step explanation:

heart and brainliest pls

Answer:

18

Step-by-step explanation:

you have to do parentheses first, then division. Then you can subtract because of the order of operations, PEMDAS, which is parentheses, exponents, multiplication or division, and addition or subtraction. After you do the equation you get 12. That is 6 less than Becka's age, making Becka's age 6 more than that, which is 18

Myesha finds some nickels and quarters under the couch cushions. How many coins does she have if she has 6 nickels and 12 quarters? How many coins does she have if she has x nickels and y quarters?

Answers

If Myesha found 6 nickels and 12 quarters under her cushion, this means that she has a total of 18 coins.

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of nickels and y represent the number of quarters. There are 2 cups in 1 pint. Hence:

If she has 6 nickels and 12 quarters:

Number of coins = 12 + 6  = 18

If she has x nickels and y quarters:

Number of coins = x + y  

If Myesha has 6 nickels and 12 quarters, this means that she has 18 coins.

Find out more on equation at: https://brainly.com/question/2972832

Emil is inviting 7 friends to a party. Each friend wants 5 cookies and each box has 12 cookies. How many boxes should Emil get?

Answers

Answer:

3 boxes.

Step-by-step explanation:

Solution,

Given,

The number of cookies : 7 × 5 = 35

Now,

The total number of cookies to cookies per box 35 ÷ 12 = 2.9 box

= 3 boxes.

Which of the following is the solution to |x|+5<1

Answers

Answer: No solutions

Step-by-step explanation:

|x|+5<1

Subtract 5 from both sides.

|x| < -4

No solutions is possible

Choose the inequality that represents the following graph.

Answers

it should be A x is less than 0

Answer:

option a is correct thanx

WILL MARK BRAINLIEST IF CORRECT PLEASE ANSWER!!!!

Square GHIJ circumscribes circle K. Find the area of the shaded region. Round your answer to the nearest tenth if necessary.

Answers

Answer:

13.7

Step-by-step explanation:

I just did the problem

What is the geometric mean of 9 and 18

Answers

[tex]\cfrac{9}{x}~~ = ~~\cfrac{x}{18}\implies 162=x^2\implies \sqrt{162}=x\implies \sqrt{9^2\cdot 2}=x\implies 9\sqrt{2}=x[/tex]

what up................................................

Answers

Answer:

nothing wbuuuu

Step-by-step explanation:

Answer:

Hey

Step-by-step explanation:

How are you doing???

can someone tell me the area and explain

Answers

Answer:

120ft^2

Step-by-step explanation:

because the formula for finding the area of a rectangle is length times width, in this case it is 15 ft for the length and 8 ft for the width, so you would multiply both of those numbers together like 15*8=120ft.

What is the volume of this right cone?

40π cm^3

300π cm^3

400π cm^3

480π cm^3

Answers

I Hope this Helps You?

What is the volume of this right cone? 40π cm³ 300π cm³ 400π cm³ 480π cm³

✓ The answer is 400pi because the area of a cone is A=1/3*pi*r^2*h1/3*pi*100*12 = 400pi

What is the smaller angle of (x+20) (5x+10)

Answers

Answer:

Step-by-step explanation:

12a+3b
would it be 15ab?
I'm not understanding how to solve it
I'll give 20 points just please help me lol

Answers

The answer is 12a + 3b
They are unlike terms you can’t add them together

Why are first time home buyers, on average, only able to pay around 5% for a down payment on a house?

Answers

Answer:

They don't have enough money to pay the full price so they have no option but to pay what they have in their saving account. Also as a first down payment its allowed to start from 3% and up. The much down payment the lower they will pay every month.

Step-by-step explanation:

A store pays $3 for a magazine. The markup is 5%.

Answers

Answer/Step-by-step explanation:

Given;

A store pays $3 for a magazine.

The markup is 5%.

Solve:

$3 × 5% = 0.15      [Markup Price]

$3 + 0.15 = $3.15 [Final Price]

Hence, the total is $3.15.

~Learn with Lenvy~

Toby has $65 to buy t-shirt for his bowling team each t-shirt costs $7

Answers

Answer:

$9.28 per t-shirt

Step-by-step explanation:

plz mark brainlest

Answer:

He has enough money to buy 9 t-shirts and he would have 2 dollars left over

Step-by-step explanation:

Divide 65 by 7. You would get 9 with a remainder of 2. So you have enough to buy 9 t-shirts.

A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. each cracker measures 2 inches in length by one and one-half inches in width. the volume of the column is 15 inches cubed. if there are 40 crackers in the column, what is the height of each individual cracker? startfraction 3 over 40 endfraction inch one-eighth inch one-fifth inch three-eighths inch

Answers

The height of each individual cracker is one-eighth inch. Then the correct option is B.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other.

Each cracker measures 2 inches in length by one and one-half inches in width.

The volume of the column is 15 inches cubed.
If there are 40 crackers in the column

The height of the cracker will be

[tex]\rm h = \dfrac{15}{1.5*2}\\\\h = 5[/tex]

The height of each individual cracker will be

[tex]\rm h_c = \dfrac{5}{40}\\\\\\h_c = \dfrac{1}{8}[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:

B

Step-by-step explanation:

is the answer

True or false: Outliers can cause data sets to be skewed.

Answers

True - since the outlier is way off it will cause your average to mess up which is why we test multiple times to make sure we are more accurate with our numbers

Answer:

True

Step-by-step explanation:

Firstly, the definition of an outlier is a number farther away from the general populous of digits. For example, a number line can have a lot of numbers clustered at 2, 3, and 4 but might have one way over on 10. This would mean 10 is an outlier.Secondly, a skew is when a dot plot or a box and whisker plot is shaped a certain way. A negative skew would be a graph sloping to the right, and a positive skew is a graph sloping to the left. It looks a bit like a hill.Knowing that the shape is made up of the different numbers and their amount, we can conclude that an outlier, or a number that is stretched far from the others, would affect the data set.This means that the skew might change if there is a variable that is out of place.

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

The half-life of a radioactive kind of antimony is 4 days. How much will be left after 12 days,
if you start with 7,600 grams of it?
22
grams
Time
elapsed
Submit
01
16

Answers

The mass of the substance left after 12 days is 501.51g.

Data;

Half life = 4 daystime = 12 daysNo = 7600

Half - Life

This is defined as the time taken for the radioactive sample to decay to half it's initial size.

This is given as

[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda}[/tex]

where

λ = disintegration constant

Let's substitute the values and find the disintegration constant

[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda} \\4 = \frac{0.693}{\lambda} \\\\\lambda = \frac{0.693}{4}\\ \lambda = 0.17325[/tex]

But the value of a radioactive substance present at a given time is

[tex]N_t = N_o e^-^\lambda ^t[/tex]

Let's substitute the values and solve.

[tex]N_t = 7600 e^-^0^.^1^7^3^2^*^1^2\\N_t = 7600 * 0.065988\\N_t = 501.509g[/tex]

The mass of the substance left after 12 days is 501.51g.

Learn more on radioactivity here;

https://brainly.com/question/2320811

The mean mass of a dairy cow is 634.5 kg with a standard deviation of 64.2 kg. A sample of 50 cows is obtained. Find the probability that the mean mass of the sample is at least 640 kg

Answers

Answer:

oh hun is 640kg stupid cow

Step-by-step explanation:

Please help me with this question on my homework (graded)

Answers

Answer:

could be plus ten and that gives u 49

Step-by-step explanation:

Start by dividing 16/6. You get 2.66 repeating. Then multiply that number by 39 to get y value. 104.

The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?

Answers

Answer:

25

Step-by-step explanation:

40/8 = 5

3:5 so u do 5x5 which is 25

brief explanation and hoped it helped xoxo

Answer:

25 girls

Step-by-step explanation:

boys: girls: total

3           5       8

Take the total number of students and divide by 8

40/8 = 5

Multiply each term by 5

boys: girls: total

3*5     5*5    8*5

15         25     40

There are 25 girls

What is the volume of the rectangular prism?
3 inches
11 inches
6 inches

Answers

Answer:

198

Step-by-step explanation:

3x11x6=

what the answer and show step by step how you got the answer
2(6x+1)=14x-6

Answers

Answer:

[tex]\boxed{x=4}[/tex]

Step-by-step explanation:

[tex]2(6x+1)=14x-6[/tex]

→ Expand brackets on left side

[tex]12x+2=14x-6[/tex]

→ Minus 14x from both sides to collect the x terms

[tex]-2x+2=-6[/tex]

→ Minus 2 from both sides to isolate 2x

[tex]-2x=-8[/tex]

→ Divide both sides by -2 to isolate x

[tex]x=4[/tex]

Answer:

4=x

Step-by-step explanation:

2(6x+1)=14x-6

12x+2=14x-6

+6+2=14x-12x

8=2x

4=x

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 52:29 There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?

Answers

Answer:

Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B

Step-by-step explanation:

Length of route A = [tex]2 \frac{1}{8} miles[/tex]

Length of route A [tex]=\frac{17}{8} miles[/tex]

We are given that route A is 3/8 mile longer than route B

Let b be the length of route B

So, [tex]b+\frac{3}{8} =2 \frac{1}{8} \\b+\frac{3}{8} =\frac{17}{8}\\b=\frac{17}{8}-\frac{3}{8}\\b=\frac{14}{8}\\b=\frac{7}{4}\\b=1\frac{3}{4}[/tex]

Hence Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B

Subtract.
4/5 - 1/4 =

plz hellllllllllp

Answers

Answer:

Hello

=4/5-1/4

Taking LCM,

LCM=20

=4*4/5*4 - 1*5/4*5

=16/20-5/20

=11/20

Answer:

11/20

Step-by-step explanation:

Francisca and Elizabeth are participating in a walk-a-thon fundraiser.
For every hour Francisca walks she raises $25.50. For every hour
Elizabeth walks she raises $14.50. Each girl walks for 3 hours. How
much will they raise together?

Answers

Francisca raises 76.50 and Elizabeth makes 43.50 together they makes 120

Write the ratio as a fraction in simplest form.
10 feet to 5 yards

Answers

Answer:

1:0.33

Step-by-step explanation:

This is because one foot= .333 yards

I hope this is what you were asking! :)

A graph that represents 2x-3y=9

Answers

I attached to pictures, one of me solving the equation for you step by step and then what the graph should look like when i put it in my calculator!!

the slope is 2/3x and it translate down 3 units on the y-axis!!

PLEASE HELP ASAP!!!
1) what is the measure of <4? Explain
2) what is the sum of the measures of angles in a triangle?
3) <1 is in a triangle <4 and 53 angle. What is the sum of those two angles?
4) what is the measure of <1 explain
5) find the measure of <2 explain how you found it
6) what is the measure of <3 explaining

I will give Brainlist!!!

Answers

Answer:

1. 90 degrees because of supplementary angles

2. 180 degrees

3. 90 degrees

4. 37 degrees, since the sum of the interior angles add to 180, 180-90-53 = 37.

5. 127 degrees, supplementary angles 180-53

6 . 23 degrees, use the triangle sum theorem 180-30-127

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