The diameter of a circle is 8 centimeters. a central angle of the circle intercepts an arc of 12 centimeters. what is the radian measure of the central angle?

Answers

Answer 1

Based on the calculations, the radian measure of the central angle is equal to 3 radians.

Given the following data:

Arc length = 12 centimeters.

Diameter = 8 centimeters.

Radius = diameter/2 = 8/2 = 4 centimeters.

How to calculate the length of the arc?

Mathematically, the length of an arc formed by a circle can be calculated by using this formula:

S = rθ

Where:

r is the radius of a circle.θ is the angle measured in radians.S is the length of an arc.

Substituting the given parameters into the formula, we have:

12 = 4θ

θ = 12/4

θ = 3 radians.

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Related Questions

If you are involved in a minor crash and your vehicle is blocking the flow of traffic, you should

Answers

If you are involved in a minor crash that caused your vehicle to block the flow of traffic you should call a tow van for assistance.

What is a Tow Van?

A tow van is a vehicle that is used to move a vehicle that is not operational.

The tow vehicle is equipped with a winch and hoist mechanism to enable it attach a vehicle to itself.

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Answer:

Attempt to move it out of the way.

Explanation:

At present, fossil fuels constitute our major source of primary energy, yet they are also the cause of large looming problems. which among them seems the most dangerous one?

Answers

Answer:

Depletion of oxygen

Explanation:

Anytime fossil fuels are used oxygen is needed for burning to take place whiles carbon dioxide is released

Which of these is the most serious impact to an ecosystem after a tornado?

Answers

Answer:

The most serious impact to an ecosystem after a tornado is the relocation of animals to different habitats.

Explanation:

Hope this helps, please feel free to give feedback

Choose all that apply. select all the strategies you can use to manage risks. have a warranty carry lots of cash have an emergency fund provide your personal information to others buy health insurance become informed

Answers

Financial risk is the chance that one can lose the money invested or to fraud. To manage risk one can buy health insurance, deposit an emergency fund, have a warranty, and should be informed.

What is managing risks?

Risk management is the identification and prioritization of the risks so that the impact of the financial or health loss can be avoided or minimized. In case of some serious disease health insurance provides financial protection.

The collection of emergency funds will help in sudden need, being informed will help to avoid fraud situations, and getting a warranty card ensures the protection of the purchased product.

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Mental states that involve problems perceiving reality and problems with thinking and feeling are called:

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Mental states that involve problems perceiving reality and problems with thinking and feeling are called psychosis.

What is psychosis?

Psychosis is defined as a psychological or mental disorder which involve problems with perceiving reality and problems with thinking and feeling.

The symptoms of Psychosis include:

agitation,

hostility,

hyperactivity,

deficiency of speech

rapid and frenzied speaking.

Therefore, mental states that involve problems perceiving reality and problems with thinking and feeling are called psychosis.

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How does this example of dramatic irony affect the audience? it makes brutus appear heartless and cruel because he want mark antony killed. it heightens suspense because they underestimate mark antony who is dangerous. it makes mark antony look like he is a part of the conspiracy. it makes it look like mark antony wants caesar dead so he can become king.

Answers

The example of dramatic irony affect the audience is that It heightens suspense because they underestimate Mark Antony who is dangerous.

What is an irony?

The definition of irony is known to be a term that make use of words where the meaning is said to be in opposition to their real meaning or what is is seen to occur.

Therefore, The example of dramatic irony affect the audience is that It heightens suspense because they underestimate Mark Antony who is dangerous.

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Answer:

b

Explanation:

yes

Which phrase from the passage best supports the theme that humans possess the ability to be monstrous

Answers

A. spectacle of wrecked humanity Correct! The correct answer is: spectacle of wrecked humanity.

Make suggestions on how cyber-savvy campaigns could overcome public apathy to deal with human rights violations

Answers

Human rights violation is the denial of the fundamental freedom and rights of humans. Cyber savvy can create mass campaigns to deal with the indifference.

What is cyber-savvy?

The person who is interested in and acquainted with computers, systems, and the internet are called cyber-savvy. They can use social platforms and the internet to ruin campaigns to spread awareness and let the common mass show their views.

Creating campaigns that portray the importance of human rights and the standing against discrimination and violence can connect the message of the violation to the large mass of people through the internet.

Therefore, by running campaigns on social platforms cyber-savvy can deal with the coldness.

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How does the numbered list support the purpose of the text? it motivates runners to finish a 5k race in the fastest time possible. it shows runners the best way to warm up just before a 5k race. it provides a schedule for runners to follow as they train for a 5k race. it tells new runners how to sign up for and win a 5k race.

Answers

The numbered list support the purpose of the text as It provides a schedule for runners to follow as they train for a 5K race.

What is a running schedule?

A running schedule is known to be a simple formula that is used for any great training in terms of plan.

It includes Training three days a week. Therefore, The numbered list support the purpose of the text as It provides a schedule for runners to follow as they train for a 5K race.

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There is an algal bloom in a bay in a populated area. as the leading marine biologist in the area, what is the most important thing to do, based on scientific evidence about such blooms?

Answers

As a leading marine biologist, the most important thing to do is to warn people to stay away from the affected area to evacuate all wildlife from the bay.

What is an algal bloom?

Algal bloom is the over growth of algae or algal look alike bacteria in the sea, river, or brackish water.

They are bad smelling and can be harmful for the animals and humans.

Thus, As a leading marine biologist, the most important thing to do is to warn people to stay away from the affected area to evacuate all wildlife from the bay.

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What does the phrase "and who are you that draws your veil across the stars?" likely mean, as it is used in line 18? who is this person who is talking about space exploration? who is this person who is talking over me when i am speaking? who is this person who is talking negatively about my positive attitude? who is this person who is talking negatively about the design of the american flag?

Answers

'Let America Be America Again' is a poem by Langston Hughes. By the line drawing a "veil across the stars," the poet means the people have lost their hopes. The poem is depicted from the speaker's point of view.

What is the idea of the poem?

'Let America Be America Again' is a poem that depicts the harsh reality between the American dream and the actual life. By the line drawing curtain, speakers ask why people are losing hope.

Hughes the poet talks about the space exploration and talks about how someone is criticizing his idea of a positive perspective of the country and how he thinks that the optimistic approach is incorrect.

Therefore, by drawing a veil the poet meant the loss of hope.

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Sarabeth and miguel work at similar jobs for the same agency but on different classified projects. they find it helpful to discuss the challenges of their jobs with each other. sarabeth wanted to share classified information with miguel, but he does not have a need-to-know for the information. in order to avoid a violation requiring a possible sanction, miguel should stop the conversation before any classified information is discussed.

Answers

The statement about Miguel stopping the conversation to avoid any possible sanction is; True

What are work Ethics?

The code of work ethics is defined as the guiding principles that are required to help professionals so that they can conduct their business or jobs with integrity.

Now, organizations adopt code of ethics so that their members can be able to know the difference between what is considered right and what is wrong.

In this case, the work ethics is clear that some information should not be shared. Thus, Miguel is right to stop the conversation to avoid sanctions.

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Read the sentence.sayeed johnson, who is running for mayor, will be speaking at the city library tonight.which terms describe the underlined portion of the sentence? select two options.appositiveclausenonrestrictivephraserestrictive

Answers

In the sentence the underlined part, who is running for mayor, is a nonrestrictive clause. The correct options are B and C.

What is a non-restrictive clause?

A non-restrictive clause is a clause that adds additional information about the subject or proper noun.

Commas are used to write a non-restrictive clause, which shows this is additional information.

Thus, the correct options are B and C.

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What brought large amounts of water into the city of rome? a. canals b. forums c. bridges d. aqueducts please select the best answer from the choices provided a b c d

Answers

Hello, hope this helps

Answer:

D. Aqueducts

Explanation:

They constructed these to bring water to many services such as public baths and latrines. Let me know if have any questions about this.

Based on the audio, what did osvaldo's grandfather do every day? danced to cuban music listened to music played the piano wrote merengue lyrics

Answers

Osvaldo's grandfather do every day is listened to music. Learn more about instrument below.

What is string instrument?

The term stringed instrument, is known to be any form of musical instrument that creates sound by the action of the vibration of  strings.

Note that  Based on the audio, Osvaldo's grandfather love string instruments and he likes them.

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Answer: His grandfather loved listening to music everyday

Explanation: Hope that helped!!!

Select the correct answer. smith is pursuing a dental assistant certification program. which professional organization is he a part of? a. american association of family and consumer services b. national association for health professionals c. national board for professional teaching standards d. government finance officers association e. health occupations students of america

Answers

Answer:
B. National Association for Health Professionals
Explanation:
Right on Brainly

In the literature of east asia and the pacific rim michael

Answers

Based on the literature of east Asia and the pacific rim, I do agree  with Kipling's statement.

What is the statement about?

The famous line of Rudyard Kipling "East is east and west is west and never the twain shall meet".

From the line above, we can see that he declares his love for British Colonialism and as such, I can say I believe in India and it tells one that the people of the east India and the people of Britain are said to be mutually exclusive.

In this case, they will not be able to reconcile their differences and the assumption is seen as white colonialists are more superior to the Indian  people.

See full question below

In "The Literature of East Asia and the pacific rim" Michael Harris quotes "oh east is east, and west is west, and never the twain shall meet".

With this famous line british writer Rudyard kipling has captured the idea that the east and west are so radically different that their people can't possibly understand eachother. Do you agree or disagree with kiplings statement. Write an essay defending your opinion. use relevant examples from the selections you read. be sure to include the title of the selection you site as evidence

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Does the residual plot show that the line of best fit is appropriate for the data? yes, the points have no pattern. no, the points are evenly distributed about the x-axis. no, the points are in a linear pattern. yes, the points are in a curved pattern.

Answers

The graph is not found here, but a residual plot shows that the line of best fit is appropriate for data when points are well distributed on the x-axis.

What is a residual plot?

A residual plot is a diagram showing residual values on the Y-axis and an independent variable on the X-axis.

This type of plot (residual plot) is used to see the matches between observed and fitted response values.

In conclusion, the graph is not found here, but a residual plot shows that the line of best fit is appropriate for data when points are well distributed on the x-axis.

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Examine the nuclear reaction: superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.. why is this classified as a nuclear reaction rather than a chemical reaction? it is not balanced. a new compound is formed. a change has occurred in a nucleus. a new element has been formed.

Answers

Since the reaction is not given, answer will be subjective. It is a nuclear reaction rather than a chemical reaction as a change has occurred in a nucleus.

What is nuclear reaction?

Nuclear reaction is a term that connote the change in the state or characteristics of any kind of atomic nucleus that has been pressed or induce through bombardment with energetic particle.

Therefore,  It is a nuclear reaction rather than a chemical reaction as a change has occurred in a nucleus.

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Answer:c

Explanation:

A group of students at a high school took a standardized test

Answers

how does the rest looks like

Explanation:

I mean explain your question more

Describe how another political institution can influence the advancement of the federal legislation in the scenario.

Answers

Explanation:

The government can build up a policy, if they need help in the society...The federal legislation in the scenario can be influenced by the political institutions

A person going to a party was asked to bring 5 different bags of chips. Going to the store, she finds 20 varieties.

How many different selections can she make?
a.100
b.12,340
c.15,504
d.32

Answers

Answer:

A

Explanation:

The person can bring a selection of 20 bags because if you multiple the number of bags they were asked to bring by the number of varieties they got at the store you will get a 100

A because she was asked to bring 5 different bags of chips and there was 20 varieties of chips

What are the central ideas of this excerpt? select two options. antony wants everyone to know that he wanted caesar dead. antony does not believe that caesar deserves a funeral, but unwillingly agreed to speak to please the conspirators. the mistakes men make are remembered after their deaths, but their good deeds more often die with them. if caesar was power-hungry, it was a serious flaw, and he paid seriously for it. antony believes the conspirators should be rewarded with riches for their sacrifice and willingness to kill the ambitious caesar.

Answers

Answer: is C) and D) cuz ayshagibson said so....

Explanation:

The central ideas of this excerpt were that "The mistakes men make are remembered after their deaths, but their good deeds more often die with them" and that "If Caesar was power-hungry, it was a serious flaw, and he paid seriously for it".

Who spoke about Caesar?

Here, Anthony spoke about Caesar. It was written that the evils that people do will live after them even when they die. On the other hand, their good deeds will be forgotten. Also, if Caesar was power-hungry, it was a serious flaw, and he paid seriously for it. Anthony spoke I'll about him.

Antony who was unhappy at the death of Ceasar and who swore to avenge his death, in the speech above, remarked that the accusations made by Brutus and others against Caesar did not take into account his good deeds while alive.

Thus, he implied that people tend to forget the good deeds of others when they die but only recall their bad deeds. He also showed through this statement that if the accusations about Caesar being ambitious were actually true, he paid dearly for it given the way he died.

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Positive feedback will not help your team feel motivated and engaged in their work or help them understand your company's standard True or false?

Answers

Answer:

False

Explanation:

If you are positive with your employees and motivate them with positive feedback, then they surely to be engaged in work better.

Sperm cells are able to swim in a fluid because they have

Answers

Answer: the flagellum

Explanation:

the tail of the sperm helps it move

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

Answers

Answer: 52.12 rad/s

Explanation:

Approx angular speed:

ω = 8.3( rev/s ) * 2(π)(1/rev)

= 8.3 * 2 * 3.14 = 52.12 rad/s

Which two events would most likely occur in the rising action of a story?

Answers

Answer: Internal or external conflict

Which phrase from the excerpt is the best example of nonstandard english? claimed that she had been cow kicking her from behind was an ironing board things throwed at it

Answers

Answer:

yes

Explanation:

yes

Answer:

b

Explanation:

Explain why the amount of money in the account at the end of the first year is given by the formula with n as the exponent:

Answers

Answer: This is the formula you use for someone investing in money. The formula is actually supposed to be: A

Listen to the audio, read the question, and choose the option with the correct answer to the question. based on the audio, what is not true about the animal in the audio? it is valued for its meat. it lives in jungles and forests. it looks similar to a pig. it migrates in spring.

Answers

Answer:

It migrates in spring

Explanation: I took the test and got it correct

Answer:

migrates in the spring

Explanation:

got it right on the test

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