A wheel with a 1 foot radius spins in place in a counterclockwise direction. Explain why the distance point P travels is the same as the angle of revolution (measured in radians) of this wheel?

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

The definition of radian is:

A radian is a unit of angle measurement such that a central angle of a circle measuring 1 radian subtends and arc of the circle whose length equals the radius if the circle.

In this case, the radius is 1 foot. Point P travels along the arc formed by an angle. When the angle is 1 radian, the arc length equals the radius of the circle, 1 foot. It is simply following the definition of radian.

Answer 2

Point P will travel a distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.

What is 1 radian?

One radian is defined as the angle subtended from the centre of a circle which intercepts an arc equal in length to the radius of the circle.

Circumference of the circle = 2π(1) =2π feet.

This means point P will travel a distance in a complete revolution.

A complete revolution = 360° or 2π

Hence, point P will travel a distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.

To get more about circles visit:

https://brainly.com/question/24375372


Related Questions

50 POINTS!!!!
A rectangular garden has length twice as great as its width. A second rectangular garden has the same length as the first garden and width that is 4 meters greater than the width of the first garden. The second garden has area of 120 square meters. What is the length of the two gardens? Enter your answer in the box. m=

Answers

Answer:

24 meters

Step-by-step explanation:

First we need to show width and length as variables.

let width of garden 1 = W

let length of garden 1 = L

let width of garden 2 = w

let length of garden 2 = l

Now make equations that are explained in the question

L = 2W

l = L

w = W + 4

l × w = 120

Now with that we can find l and w.

Now by looking at the factors of 120, find the factors that work throughout the question.

That is 12 and 10.

l=12

w=10

This means that...

L=12

W=6

Now the answer is 24 meters

Answer:

12m

Step-by-step explanation:

just took the test

Find the value of x in the isosceles triangle shown below

Answers

Answer:

The answer is 12

Hope it helps

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and [tex]\frac{1}{2}[/tex] x , hypotenuse [tex]\sqrt{45}[/tex] , then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides ²)

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

The answers are A and D

Step-by-step explanation:

2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.

Dawn is going scuba diving. Which situation would be modeled by a positive number?
on the dive boat deck
at the water line
underwater near a reef
on the ocean floor

Answers

Answer:

Step-by-step explanation:

on the dive boat deck :)

on the dive boat deck

find the volume of the prism

Answers

Answer: 4,218,750

Step by explanation:

Carlos is NOT correct because

Answers

Answer:

He is wrong because for the last part of foil he multiplies 3 times 3 and got 6 instead of 9.

Find the median of the data in the box plot below. Cookies A horizontal boxplot titled Number of cookies eaten by each contestant, is plotted along a horizontal axis marked from 2 to 30, in increments of 1. A left whisker extends from 5 to 6. The box extends from 6 to 22 and is divided into 2 parts by a vertical line segment at 8. The right whisker extends from 22 to 25. All values estimated.

Answers

Diagrammatic representation of the summarized box plot is attached below :

Answer:

Range = 20

Median = 8

Step-by-step explanation:

The median value of a box plot is obtained at the point where a vertical line divides the box into two parts. In the boxplot Given the median of the representation is 8. This is the point where the vertical line divides the box.

The range of the distribution is the difference between the maximum and minimum value :

Minimum (starting point of whisker) = 5

Maximum (end point of whisker) = 25

Range = 25 - 5 = 20

how do you find the height of a triangle (to calculate area)?

Answers

Answer:

The height of the triangle could be found by the Pythagoras theorem, where the result is, with the data of the exercise:

Height of the triangle = 10.392

And the area of the triangle is:

Area of the triangle = 31.176 units^2

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the Pythagoras theorem, which is:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

(adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2(adjacent leg)^2 = 12^2 - 6^2(adjacent leg)^2 = 144 - 36(adjacent leg)^2 = 108

Now, as we just need the adjacent leg, we take the square root of both sides:

adjacent leg = [tex]\sqrt{108}[/tex]adjacent leg = 10.392 approximately.

Now, with these data, we can find the area of the triangle with the next formula:

Area of a triangle = (base * height) / 2And we replace the measurements:Area of a triangle = (6 * 10.392) / 2Area of a triangle = 31.176

As the image does not contain units, it would be simply this number, however, you should know that the area units are usually given squared, for example: in^2 or ft^2.

Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X

Answers

Answer:

[tex]AD/ED=AB/CB[/tex][tex]15/x=9/3[/tex][tex]45/9=9x/9[/tex][tex]x=5[/tex]

----------------------

hope it helps...

have a great day!!

Answer:

x=5

Step-by-step explanation:

What is the area of the rectangle

Answers

Answer:

B) [tex]\frac{15}{4}[/tex]

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

b = [tex]2\frac{1}{2}[/tex]

h = [tex]1\frac{1}{2}[/tex]

Work:

A = bh

A = [tex](2\frac{1}{2} )(1\frac{1}{2} )[/tex]

A = [tex]\frac{15}{4}[/tex]

Can someone answer this

Answers


jim grant. can you answer my question too?

Answer:

54

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = 81 ← value of y from table for x = 4

f(a) = f(3) = 27 ← value of y from table for x = 3

average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54

Finding probability

Answers

Answer:

6/8??

Step-by-step explanation:

I am a little confused with the question but i believe its 6/8

Malik, who is 5 feet tall, stands 15 feet from a mirror. In
the mirror, he can see the reflection of the top of a tree,
which he measures to be 92 feet away from the mirror. round your answer to the nearest hundredth

Answers

Man it’s in like feet or somethin that’s like 26 toes

what's the answer dhdhdizdjskxi

Answers

Answer:

138 ft for the area in the proposed design of the green section.

To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.

Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.

Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
1,3,5...
This is
sequence and the
is equal to

Answers

Answer:

arithmetic

Step-by-step explanation:

geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time

Answer:

This is an arithmetic sequence and the common difference is equal to 2.

HELP ME ASAP I NEED HELP NOW

Answers

Zeros:

x = -2

x = 6

Smaller zero: -2

What is the area, in square feet, of the shaded part of the rectangle below?

Answers

Answer:  208

===============================================

Work Shown:

A = area of the rectangle

A = length*width

A = 16*17

A = 272 sq ft

B = area of triangle

B = base*height/2

B = 16*8/2    ..... note that 17-9 = 8

B = 16*4

B = 64 sq ft

C = area of shaded trapezoid

C = A - B

C = 272 - 64

C = 208 sq ft

--------------------

Alternative Method:

Apply the trapezoid area formula

b1 = 17 and b2 = 9 are the parallel bases

h = 16 is the height perpendicular to either base

A = h*(b1+b2)/2

A = 16*(17+9)/2

A = 16*(26)/2

A = 16*13

A = 208 sq ft

cual es el resultado de 5-4(6-12)

Answers

Answer:

29

Step-by-step explanation:

5-(4*(6-12))=29

Answer:

La respuesta es 29, espero que esto ayude.

A light bulb manufacturer randomly checks light bulbs. Of 1,000 light bulbs checked, 30 light bulbs are defective. How many light bulbs will most likely be defective in a batch of 3,500?

A. 60
B. 105
C. 120
D. 180

Answers

Answer:

105

Step-by-step explanation:

(30/1000) * 3500 = 105

Price of bread was increased by 5% to a retail price of $3.57. What was the original price ?

Answers

Answer:

3.39

Step-by-step explanation:

Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.

Answers

Answer:

Parallel: a and b, p and q, p and r, q and r

PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b

Step-by-step explanation:

Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.

Perpendicular lines cross at a 90 degree angle.

Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle

Answer:

Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on

Step-by-step explanation:

expand and simplify (3x+4)(2x+3)

Answers

Answer:

answer is 6x^2+17x+12

Step-by-step explanation:

3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12

Solve for X please help

Answers

Answer:

x = 10

Step-by-step explanation:

First square both sides of the equation...

[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]

The quality control manager of at Long John Silver's restaurant wants to analyze the length of time that a car spends at the drive-thru window waiting for an order. It is determined that the mean time spent at the window is 59.3 seconds with a standard deviation of 13.1 seconds. The distribution of time at the window is skewed right. The quality control manager wishes to use a new delivery system designed to get cars through the drive-thru system faster. A random sample of 40 cars results in a sample mean time spent at the window of 56.8 seconds. What is the probability of obtaining a sample mean of 56.8 seconds or less, assuming that the population mean is 59.3 seconds

Answers

Answer:

0.11314

Step-by-step explanation:

The Long John Silver's restaurant parameters are;

The mean time spent at the window, μ = 59.3

The standard deviation, σ = 13.1

The time distribution is skewed right

The number of cars in the sample, n = 40 cars

The mean time spent at the window with the delivery system, [tex]\overline x[/tex] = 56.8 seconds

The Z-value for a mean time of 56.8 seconds is given as follows;

[tex]Z=\dfrac{\bar{x}-\mu }{\dfrac{\sigma }{\sqrt{n}}}[/tex]

Therefore, we get;

[tex]Z=\dfrac{56.8-59.3 }{\dfrac{13.1 }{\sqrt{40}}} \approx -1.20697620617[/tex]

Therefore, the z-value ≈ -1.21

From the normal probability table, we have;

P([tex]\overline X[/tex] ≤ 56.8) = P(Z < -1.21) = 0.11314

The probability of obtaining a sample mean of 56.8 second or less, assuming that the population mean is 59.3 seconds P([tex]\overline X[/tex] ≤ 56.8) = 0.11314.

1001 divided by 7
( long division )

Answers

Answer: 143

Step-by-step explanation: hope this helps :)

I really need help! is my answer correct ?

Answers

I believe your answer may be correct! Apologies if I’m wrong

help please! if it’s correct ill give brainliest

Answers

Answer:

[tex]radius = \sqrt{ {15}^{2} + {36}^{2} } = 39 \\ area = 4 \times {39}^{2} \times \pi = 19103.76[/tex]

2) determine the length of the hypotenuse from the picture

A) 21 cm
B) 28 cm
C) 35 cm
D) 49 cm

Dont put the answer
In a link

Answers

the answer is a i’m sure

3. Simplify:
a) 4a - 3b + a - 2b

Answers

That’s the answer 5a-5b

Answer:

4a-3b+a-2b

5a-3b-2b

5a-3b-2b

5a-5b

solution: 5a-5b

I need help pleasee!! Asap!

Answers

The midpoints of a rectangle always form parallelogram.

the answer is a Parallelogram
Other Questions
sundara knew englis? 1. Can you see the pattern in the following series of multiplications?Fill in the rest of the chart with the correct numbers.37 3 = 11137 6 = ?37 9 = ?37 ? = ?37 ? = 55537 ? = ?37 ? = ?37 ? = ?37 ? = ?2. Name the factors in each of the following problems.a. 6 12 = 72b. 8 9 = 72c. 4 4 = 16d. 3 7 = 213. Name the multiples in each of the following problems.a. 5 7 = 35b. 17 2 = 34c. 16 4 = 64d. 11 7 = 774. Use division to determine whether the following numbers are factors.Answer yes or no.a. Is 13 a factor of 39?b. Is 15 a factor of 342?c. Is 14 a factor of 201?d. Is 12 a factor of 228?5. Indicate whether each of the following numbers is divisible by 3.Answer yes or no.a. 27b. 35c. 123d. 4026. Indicate whether each of the following numbers is divisible by 4.Answer yes or no.a. 124b. 289c. 304d. 2227. Find the prime factors of each of the following numbers.a. 25b. 38c. 36d. 285e. 650f. 1,740 PLZZ HELP MEEEE PLZ PLZ ILL MARK AS BRAINLIESTTT!!!! Elma wants to create a completely new world as the setting for her fantasy novel. Her writing teacher tells Elma she can stray as far from reality as she wishes if she does something to keep her readers invested in the story. What is Elmas teacher MOST likely advising Elma to do? A. Ease into the fictional setting by beginning the story in a real setting first. B. Describe the fictional setting with a level of real accuracy. C. Ensure the reader understands that everything in the story is fictional. D. Keep the characters and their actions as real as possible even if the setting is not. how did the founding fathers plan to limit the power of the new government that was being created by the constitution? In which layer of the atmosphere does most condensation occur? A) troposphere B) stratosphere C) ozone layer D) mesosphere E) ionosphere determine if the two triangles are congruent. If they are, State how you know. NO LINKS!!!! the U.S military first experimented with native American languages in military intelligence a.during the boer warb.during world war 2c.during world war 1d.during the Vietnam war Pls my you help me with these questions Which of the following is NOT part of a chromosome? A. genesB. cellsC. nitrogen basesD. DNA 1. Which of the following isa reason you should drink water everyday?A. Water praites uitamins.B. Water proldes nutrients for daily functionsc Water praides energyD. Water helps ashion gons and the spinalcord. my room which is usually in_____order was in total disarray after the party Select all that apply.The use of flashback is a technique that allows the author to: _____.explain a character's current actions or attitudesbuild suspense and mystery into the opening of an accountconfuse the readerput events in any order of his choosingsupply missing information FOR A PROJECT PLEASE HELP!Imagine you are Samuel Adamswriting for the Committees ofCorrespondence. Draft a 1 pageletter to send to Virginiadescribing the Intolerable Actsand what life was like in Bostonwhen it was placed underMartial Law. Write a journal entry, and use at least three complex sentences.Think about how you can use complex sentences to show relationships between your ideas. What is 1/3+1/2equal to (fraction form) The box plot on this page shows the total amount of time, in minutes, the students of a class surf the Internet every day:Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)Part C: Explain what affect, if any, there will be if an outlier is present. (2 points) C. If Stephanie was short of wrapping paper, how much more did she need? If Stephanie had enough wrapping paper, how much of the ten feet was left over? Matter is defined as anything that has?A. phase changes and massB.atoms and densityC. color and weightD.volume and mass A pound is a(lager, smaller) unit than an ounce, so (divide, multiply) the number of pounds by 16 to find the number of ounces. Therefore, 2 pounds is equal to(0.125, 0.5, 16, 32)ounces.Part BDid Renee buy her mother enough coffee for the week? A. yes B. no