A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3. 14 for π. Show your work

Answers

Answer 1

The approximate arc length rounded to the nearest hundredth, between each spoke is 54.9 mm.

Diameter = 559 mm, r = d/2 = 279.5 mm

Number of spokes = 32

π = 3.14

To solve this question, we have to use the formula of the length of an arc which is given as

L = θ/360 × 2πr

To calculate the angle between each spoke, let's divide 360 by 32

θ = 360/32

θ = 11.25°

Now we have the value of the angle, substitute it and solve for the length of the arc.

[tex]L_{arc}[/tex] = θ/360 × 2πr

= 11.25/360 × 2 × 3.14 × 279.5

= 54. 9 mm

Therefore the length of the arc is approximately 54.9 mm.

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Related Questions

Gerry is reading a book that has 475 pages. He already read some of it last week. He plans to read 160 pages tomorrow. By then, he will be 4/5 of the way through the book. How many pages did Gerry read last week? Which equation bests represents the situation?

w + 160 = (4/5) 475
w + 20 = (2/3) 276
475 = 160 - (4/5) b

Answers

475=160-(4/5)b is the correct answer

Please answer the question in the picture and show your work! I got tan= square root of 2 but I’m not sure if that’s right and if there’s more answers since it wants all values of tan. This is due tomorrow please help!

Answers

Answer:

tan(θ) is undefined.

Step-by-step explanation:

Recall that tan(θ) = sin(θ) / cos(θ). We are given that sin(θ) = -1. Hence:

[tex]\displaystyle \tan\theta=\frac{\sin\theta}{\cos\theta}=-\frac{1}{\cos\theta}[/tex]

Since 1 / cos(θ) = sec(θ):

[tex]\tan\theta=-\sec\theta[/tex]

We can square both sides:

[tex]\tan^2\theta=\sec^2\theta[/tex]

From the Pythagorean Identity:

[tex]\tan^2\theta+1=\sec^2\theta[/tex]

Substitute:

[tex]\tan^2\theta+1=\tan^2\theta[/tex]

So:

[tex]1\neq0[/tex]

Since we acquire an untrue statement, no solutions exist.

If needed, refer to the unit circle. Recall that sin(θ) only equals -1 when θ = 3π/2 (on the interval [0, 2π)). At 3π/2, cos(θ) = 0. Since tan(θ) = sin(θ) / cos(θ), tan(θ) is undefined whenever sin(θ) = -1 (or 1).

Can some one help me with this question its hard :( down below ill give brainliest

Answers

Answer:

The Answer is A. 8

Explanation:

For Answer Choice A:

There's nothing to explain here. It's just the number 8.

For Answer Choice B:

2 · 2 · 2 · 2 is 16. That symbol ( · ) is another way of writing the multiplication symbol. So this problem is essentially 2 x 2 x 2 x 2, which equals 16.

For Answer Choice C:

Well, this one needs no explanation either. It's just the number 16.

For Answer Choice D:

[tex]2^{4}[/tex] is also equal to 16. I'm too lazy to explain how to do this one so yea.  

Hope this helps you. Uh, yea. Have a good day? omg I'm so tired

Select the correct volume.
A brick has a base area of
of 384
square inches and a height of 22 inches. What is the volume of the brick?
40
3
cubic inches
4.
15
cubic inches
10
5
95 cubic inches
8
1
239
Cubic inches
16

Answers

Answer:

the answer is 10 5. you welcome

How to read linear equations?

Answers

To read a linear equation, first, identify the constants and the variable, then determine the coefficient of the variable.

A linear equation is an equation that contains two variables and can be written in the form of ax + b = 0, where 'a' and 'b' are constants and 'x' is the variable.  This coefficient will indicate how the variable is related to the constants. Then, solve the equation by isolating the variable to determine its value.

To read a linear equation, start by identifying the constants and the variable. The constant is the numerical value that is not connected to the variable. For example, in the equation "2x + 4 = 0", the constants are '2' and '4'. The variable is the letter that represents the values that can change. In this equation, the variable is 'x'.

Next, determine the coefficient of the variable. The coefficient is the numerical value in front of the variable. It represents how the variable is related to the constants. In this example, the coefficient of 'x' is '2'. This means that the value of 'x' will be twice as much as the constants.

Once the constants, variables, and coefficients have been identified, the equation can be solved.

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I need the answer to this ASAP.

Answers

Answer:

1/3 and 5/7. that's number one I think

Mrs. Avery is going to randomly select one student from her class to read a poem out loud. There are 15 boys and 13 girls in her class.
What is p (boy)?
If necessary, round your answer to 2 decimal places.

Answers

Answer:

53.57%

Step-by-step explanation:

P(boy) = 15/28 which is 53.57%

Answer:

1.87

Step-by-step explanation:

I found another brainly answer to this question.

anyone tell me the answer

Answers

Answer:

3 hour and 245 minutes

2 hour and 165 minutes

4 hour and 270minutes

4 hour and 285 minutes

Step-by-step explanation:

i hope it helps you....

Can 30 60 and 90 be the angles of a triangle?

Answers

No, the sum of the angles of a triangle must add up to 180 degrees. 30 + 60 + 90 = 180, so these angles cannot form a triangle.

The sum of the angles of a triangle must always add up to 180 degrees. To determine if a set of angles can form a triangle, add the angles together. If the sum is 180, the angles can form a triangle. In this case, 30 + 60 + 90 = 180, which does not equal 180. Therefore, these angles cannot form a triangle.

No, the sum of the angles of a triangle must add up to 180 degrees. 30 + 60 + 90 = 180, so these angles cannot form a triangle.

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I'm going to try this one more time...

Which of these characteristics of a star make it most likely to become a black hole? Select the TWO!!!! correct answers.

A. Its mass is equal to that of the sun.

B. It has an abundant supply of hydrogen.

C. Its mass is greater than 20 times the mass of the sun.

D. It is dying.

Answers

Answer and Step-by-step explanation:

C and D  is the answer.

It needs a lot of mass so that it can collapse on itself to form a black hole, and when it dies, it also collapses on itself, forming a black hole.

A is incorrect because the mass of our sun hasn't made it to collapse, and it still has some billions of years before the mass increases.

B is incorrect because the hydrogen needs to be depleted in order for the sun/star to start the nuclear process.

#teamtrees #PAW (Plant And Water)

PLEASE HELP NOW THANK YOU<3

Answers

Answer:

sheeeeeeeeeesh

Step-by-step explanation:

Answer:

y = -4/5x +1

Step-by-step explanation:

Slope formula says that y=mx+b.

In terms of words, it means that y is equivalent to slope times x plus the y-intercept.

Slope= rise/run. You rise 4 and run 5. (which is 4/5) However, the slope is negative so be careful with that.

We know the y intercept is 1 so replace that for b.

Put it together and you get y=-4/5x+1

hope this helps!!

The system Px + Qy = R has the solution (3,-1), where F, G, H, P, Q, and
Fx + Gy = H
R are nonzero real numbers.

Select all the systems that are also guaranteed to have the solution (3,-1)


a.) (P + F)x + (Q + G)Y = R + H

Fx + Gy = H

b.) (P + F)x + Qy = R + H

Fx + (G + Q)y = H

c.) Px + Qy = R

(3P + F)x + (3Q + G)y = 3H + R

d.) Px + Qy = R

(F - 2P)x +(G - 2Q)y = H - 2R

e.) Px + Qy = R

5Fx + 5Gy = 5H


*Please explain how you got your answer because I really don't understand this!

Answers

Answer:

The systems that are guaranteed have the solution (3, -1) are;

a.) (P + F)·x + (Q + G)·y = R + H

F·x + G·y = H

d.) P·x + Q·y = R

(F - 2·P)·x + (G - 2·Q)·y = H - 2·R

e) P·x + Q·y = R

5·F·x + 5·G·y = 5·H

Step-by-step explanation:

The given system of equation are;

a) P·x + Q·y = R...(1)

F·x + G·y = H...(2)

The solution of the system of equation = (3, -1)

Adding equation (1) to equation (2) gives;

P·x + Q·y + F·x + G·y = R + H

(P + F)·x + (Q + G)·y = R + H...(3)

Therefore, given that equation (3) is obtained from equation (1) and (2) by addition, equation (3), (P + F)·x + (Q + G)·y = R + H, we have;

The system of  equation;

(P + F)·x + (Q + G)·y = R + H

F·x + G·y = H, derived from the given system of equation Is bound to have the same same solution (3, -1) as the given system of equation

d.) By multiplying equation (1) by 2, we have;

2 × (P·x + Q·y) = 2 × R

2·P·x + 2·Q·y = 2·R...(4)

Subtracting equation (4) from equation (2) gives;

F·x + G·y - (2·P·x + 2·Q·y) = H - 2·R

F·x - 2·P·x + G·y - 2·Q·y = H - 2·R

(F - 2·P)·x + (G - 2·Q)·y = H - 2·R

Therefore, for the following system, obtained from the original system, we have that the solution is (3, -1);

P·x + Q·y = R

(F - 2·P)·x + (G - 2·Q)·y = H - 2·R

e) For the system of equation, we have;

P·x + Q·y = R

5·F·x + 5·G·y = 5·H

The above system of equation is obtained from the original system by multiplying equation (2) by 5, therefore the solution of the system P·x + Q·y = R, 5·F·x + 5·G·y = 5·H is the same as the solution for the original system of equations (3, -1).

What are the 3 types of trigonometry?

Answers

the main three types of trigonometry are ,

1- sine angle (sin Q)

2- cosine angle (cos Q)

3- tangent angle (tan Q)

all the other types of trigonometry are related to these three types only.

sine angle

we can find out the sine angle by taking perpendicular of the triangle divided by hypotenuse of the triangle. sine angle is a acute angle.

cosine angle

we can find out the cosine angle by taking base of the triangle divided by hypotenuse of the triangle. cosine angle is a acute angle.

tangent angle

we can find out the sine angle by taking perpendicular of the triangle divided by base of the triangle.

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Help.....ASP Please help right now

Answers

The triangle with side lengths given in the question can be classified as a scalene triangle.

What is a scalene triangle?

A scalene triangle is a type of triangle in which none of its three given length of sides are equal. It can be differentiated from other types with respect to  this property.

A triangle is a plane shape which can be described by three sides and three measure of internal angles. Some other types of triangle are: equilateral, obtuse, isosceles etc. The sum of all internal angles of a triangle is 180^o

Considering the given length of sides in the question, it can be proven the the only type of triangle that can be formed is a scalene triangle. Therefore, the triangle can be classified as a scalene triangle.

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I am giving away 10 points to anybody who provides correct answers with explanations.

Answers

Answer:

[tex]5)\ f(n) = 4v[/tex]

[tex]6)\ \frac{1}{4}n[/tex]

[tex]7)\ True[/tex]

This might not be correct though. I'm only in middle school lol. I am sure about the last one.

how many solution do the following equation have 3x-16+3x=9x+29

Answers

Answer:

-15

Step-by-step explanation:

3x-16+3x=9x+29

3x+3x-16=9x+29

6x-16=9x+29

6x-9x-16=29

-3x-16=29

-3x=29+16

-3x=45

x=45/-3

x=-15

the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³

Answers

The length of the cuboid is 56 cm.

The breadth of the cuboid is 40 cm.

The height of the cuboid is 16 cm.

What is a cuboid?

A cuboid is a three-dimensional shape where the volume is given by

Length x width x height.

We have,

Volume of a cuboid = 35840 cm³

The ratio of length, breadth, and height of the cuboid = 7:5:2

This means,

Length = 7x

Breadth = 5x

Height = 2x

Now,

(7x)(5x)(2x) = 35840

70x³ = 35840

x³ = 512

x = ∛512

x = 8

Now,

Length = 7x = 7 x 8 = 56 cm

Breadth = 5x = 5 x 8 = 40 cm

Height = 2x = 2 x 8 = 16 cm

Thus,

The length, breadth, and height of the cuboid are 56cm, 40cm, and 16 cm.

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Find the 66th term of the arithmetic sequence 25, 10, -5, ...

Answers

On solving the provided question, we can say that - The provided arithmetic sequence's 66th term is -950.

Arithmetic sequence is what?

An arithmetic sequence is a set of integers that are ordered and have a common difference between each following word.An ordered group of integers with a shared difference between each word is known as an arithmetic sequence.

The given arithmetic sequence is,

25, 10, -5, .....

The sequence's initial word, a, equals 25, while the common difference, d, equals -15.

Use the formula nth term of arithmetic series = a+ (n-1)d to determine the 66th term of the sequence.

66th term =

[tex]25 + (66-1)(-15)\\ = 25 + 65× (-15)\\ = 25 - 975\\ = -950\\[/tex]

The 66th term of the arithmetic sequence is -950.

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Write 1 and 3/8 as an improper fraction.

Answers

1 3/8 as an improper fraction is 11/8

Answer:

1 3/8 = 11/8 as a improper answer

Step-by-step explanation:

You have to make your whole number into a numerator along with your original numerator.

Improper fraction: When your numerator is greater than your denominator.

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Step-by-step explanation:

How do you find the 3 side of a triangle?

Answers

Answer:

by using sine rule and cosine rule.


I’ll give brainliest

Answers

Answer:

Step-by-step explanation:

P of red or green = (40 red+ 10 green)/ (40 red +50 yellow+10 green)

= 50/ 100= 1/2

What is an unsolvable problem?

Answers

As a result, it may be shown that the answer to the algorithm problem at hand is a halting problem, which is indecidable and thus impossible to solve.

Algorithm : what is it ?

No matter the circumstance, algorithms are fundamentally problem solvers of expression ; they exist to identify, resolve, and frequently automate of solution to a specific problem. Algorithms are frequently introduced in area introductory textbooks by characterizing them as "a series of steps to complete a problem."

Here,

one of the most common problems that hasn't been solved is the stopping problem. It asks the following question:

Does M come to a standstill when given the input w for any Turing machine with the parameters alphabet = a, b, and any string w over

It can be shown that the halting problem cannot be resolved since it is indecisive.

As a result, it may be shown that the answer to the algorithmic problem at hand is a halting problem, which is indecidable and thus impossible to solve.

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

u can download the gauthmath app it's very helpful i PROMISE :)

Answer: Answer: −9±√−255/ 24

Step-by-step explanation:

12a2+9a+7=0

a=12, b=9, c=7

12a^2+9a+7=0

a=12, b=9, c=7.

−b±√b2−4ac/ 2a

−(9)±√(9)2−4(12)(7)/ 2(12)

An administrator of a large middle school is installing some vending machines in the school.
She wants to know what type of machine would be most popular.
a. What is the population for the administrator's question?
b. Give an example of a sample the administrator could use to help answer her question.

Answers

A) the population is middle school students. B) the administrator could ask a certain number of students what kind of vending machine they want to have in the school

58, 72, 74, 92, 84, 40, 74, 81, 76, 83 What was the maximum score earned on Mr. Hill's final exam

Answers

Answer:

92

Step-by-step explanation:

Max= biggest number, surely?

Can you let me know the answer please

Answers

Answer:

The answer is A

Step-by-step explanation:

When looking at this image, look at A, notice how it says y and the equal to symbol is facing it? then notice at the end of answer a is -4, look at the graph and the line intercepts -4, remeber, the end number, whether positive or negative will always be the on the y axis

Carl wants to find the product 30×56.
Which of the following best explains how he can find the product mentally?
A.


He knows that 30÷5 is 6. He then multiplies 6 by 6 to get 36.
B.


He knows that 30×66is 30. He then subtracts 1 from 30 to get 29.
C.


He knows that 3×6=18. He then adds 18 and 5 to get 23.
D.


He knows that 30×16is 5. He then multiplies 5 by 5 to get 25.

Answers

Answer:

Your answer will be D. He knows that 30 × 16 is 5 then multiples 5 by 5 to get 25.

A right rectangular prism is sliced parallel to the base. What is the area of the resulting two-dimensional cross-section?

Answers

Answer:

The area of the resulting two-dimensional cross-section is 12 cm².

Step-by-step explanation:

The area of the cross-section of the right rectangular prism, parallel to the base, is given by the area of a rectangle:

[tex] A_{cs} = A_{r} = a*b [/tex]

Where:

[tex] A_{cs}[/tex]: is the area of the cross-section

[tex] A_{r} [/tex]: is the area of a rectangle

a: is the length of one side of the rectangle = 4 cm

b: is the length of the other side of the rectangle = 3 cm

Hence, the area of the cross-section is:

[tex] A_{cs} = a*b = 4 cm*3 cm = 12 cm^{2} [/tex]      

Therefore, the area of the resulting two-dimensional cross-section is 12 cm².      

I hope it helps you!                    

150 people went to see "Ode to Algebra" performed in the school auditorium. If the number of children that attended the performance was c, how many adults attended?​

Answers

Answer:

150-c

Step-by-step explanation:

150= total

c= children

adults=x

x=150-c

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