A circle has a circumference of 12. It has an arc of 8/5

What is the central angle in the arc?

Answers

Answer 1

Answer:

14.3 degrees.

Explanation:

To find the central angle of an arc, we need to use the formula central angle = arc length / radius * 180/π. In this case, the radius of the circle is 12/2π = 2, so the central angle of the arc is 8/5 / 2 * 180/π = 14.3 degrees.

Answer 2

Answer:48 degrees

Explanation:The central angle of the arc is 48 degrees.

Step-by-step explanation: The question has provided the first clue, which is the circumference of the circle, given as 12 units. Also the length of an arc along the same circumference has been given as 8/5 units. The circumference of a circle is calculated as

Circumference = 2Pi x radius

Also the length of an arc is calculated as

Length of an arc = (X/360) x 2Pi x radius (where ‘X’ is the angle subtended by the arc).

Having known the answer to 2Pi x radius which is 12, and the length of the arc which is 8/5, we can now express the length of an arc as

Length of an arc = (X/360) x 2Pi x radius

8/5 = (X/360) x 12

By cross multiplication we now have

(8 x 360)/ (5 x 12) = X

2880/60 = X

48 = X

Therefore the central angle of the arc is 48 degrees.


Related Questions

ما معنى كلمة (حميم ) في قوله تعالى ( يطوفون بينها وبين حميم آن )

١.ماء مر لا يمكن شربه
٢.ماء مغلي شديد الحرارة
٣.ماء بارد شديد البرودة

Answers

Answer:

معنى كلمة (حميم ) في قوله تعالى ( يطوفون بينها وبين حميم آن) لي (ماء مغلي شديد الحرارة)

\(---------\)

hope it helps...

have a great day!!

Answer:

It means (.ماء مغلي شديد الحرارة)

Explanation:

hope it helps..

Think about your place of employment or your school. Can you name someone at each level of management—executive, mid level, and supervisory? What are some tasks that they perform in the planning, organizing, staffing, directing, and controlling functions? Consider one manager in particular—what essential qualities or skills does s/he possess that make her/him a good manager?

Answers

Answer:

good luck

Explanation:

which of the factors of production involves taking risks and combining resources to produce a good or service?

Answers

Entrepreneurship is the factors of production involves taking risks and combining resources to produce a good or service.

The factors of production are resources that are the building blocks of the economy; they're what people use to provide merchandise and services. Economists divide the factors of production into four classes -  land, labor, capital and entrepreneurship.

Entrepreneurship is defined as the act of beginning and running your own business or a bent to be artistic and need to figure for yourself in your own ventures. associate degree example of entrepreneurship may be a one that is running his own business.

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How does the conflict "character versus nature" tie into the theme of the story? The Grasshopper and The Ant

Answers

The conflict of character versus nature is an external conflict in literature. It is frequently represented as a person battling the environment, including natural disasters, wild animals, or the natural world's destructive side.

In The Grasshopper and The Ant, this conflict ties into the story's theme in a variety of ways.

To begin with, the narrative depicts how nature, in this case, the environment, can have an impact on our lives. Throughout the story, the grasshopper avoids the ant's attempts to prepare for the winter, preferring to sing and dance.

When the winter arrives, the grasshopper is caught unprepared and ends up hungry and freezing. The story's moral teaches readers that being ill-prepared can be disastrous, especially when it comes to nature. It also highlights the importance of being proactive in preparing for the worst.

Another way the character versus nature conflict ties into the story's theme is by highlighting the ant's perseverance and hard work. Despite the harsh circumstances, the ant remains determined and dedicated to his goal of preparing for the winter. This serves as an inspiration to readers to persevere even in the most challenging situations.

Furthermore, the story shows how nature can be both harsh and benevolent. The grasshopper suffers due to the harsh winter, but the ant's hard work also pays off in the end when he can enjoy the fruits of his labor. This teaches readers that nature can both give and take away.

Finally, the conflict of character versus nature in The Grasshopper and The Ant serves to teach readers about the importance of balance. The ant's hard work and preparation are admirable, but the grasshopper's love of life and music is also crucial. This emphasizes that while it's essential to be prepared, it's also necessary to enjoy life and not take it for granted.

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In a study, the nails of 89 guinea pigs were trimmed to the same length and measured over the course of two months. The average nail length, l, in millimeters, d days after the start of the study is approximated by the equation above. What is the best interpretation of 25 as shown in the equation above? Choose 1 answer:

Answers

Not very sure hmm the pacer test is great tho

Rhea has 36 homework problems to complete. She completes 12 on Monday. On Tuesday, she completes 23 of the remaining problems.

How many problems does Rhea still have to complete after Tuesday?

Answers

Explanation:

She started with 36

She completed 12, so we'll take 12 away

36-12=24

Tuesday she does 23

24-23=1

She only has 1 problem to complete after Tuesday

When using the dumas method to calculate the molar mass of a volatile material, it is necessary to know the temperature of the gas. measuring the temperature of the water bath

Answers

FALSE,  it is not necessary to know the temperature of the gas measuring the temperature of the water bath in Dumas Method

What is Dumas method?

The Dumas method is a method for the analysis or the determination of nitrogen in chemicals as first described by Jean-Baptiste Dumas in 1826. The

Dumas method has an advantage of very being easy to use and fully automated. It has been developed as a much faster method than the Kjeldahl method, in which he can take several minutes for a single measurement compared to an hour or more. No toxic chemicals or catalysts are used. The main drawback is the high initial cost, but new technological developments have mitigated this drawback. Also, like the Kjeldahl method, it records non-protein nitrogen, so there is no true protein measurement and a different correction factor is required for each protein. This is because proteins have different amino acid sequences.

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Which electron configuration represents an atom of sulfur in an excited state?.

Answers

Answer:

What is the electron configuration of sulfur in the ground state?

Therefore the sulfur electron configuration will be 1s22s22p63s23p4. The configuration notation provides an easy way for scientists to write and communicate how electrons are arranged around the nucleus of an atom. This makes it easier to understand and predict how atoms will interact to form chemical bonds.

Consider the theme, "making tough choices. " from the point of view of a principal who made school uniforms mandatory, write a one-paragraph letter to parents explaining your decision

Answers

The act of making tough choices. "The letter to my parents is written below.

Dear Mum and Dad.

You too are the best gift of life that anyone could ask for. You taught me to always stand for what is right and best for me and as such I have made up my mind to study at UCL. I know its far from Home and you people want me to be closer to home but I have to do this since it has the best facilities that I need for my program. I love you. Please be happy and accept my decision.

Yours lovely

Jane.

What does a tough decision implies?

The term tough decision are known to be those decisions that are not easy to do; and thus they requires effort.

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Answer:

I decided to make uniforms mandatory because I believe they will reduce bullying and allow students to focus on what is important in school. I ask that you support my decision and discuss the benefits of uniforms with your children. If you have any questions or concerns, please contact my office.

Explanation:

this was right on edgeunity (make sure to switch up the words if ur using this)

Which fossilization techniques preserves complete organism.

Answers

Answer:

permineralization, or petrification

Explanation:

Answer: Hi! I'm Jimin!

Korean: seoghwadoen hwaseog

Explanation:

English: Petrified fossils

what normally falls under general education requirements at a college

Answers

Answer:Writing, math/algebra, quantitative and formal reasoning, diversity, language/oral and professional communication, humanities and arts, social sciences, and natural sciences, global awareness and cultural understanding, and electives.

Explanation:

Ignore 3/4 can someone please explain

Ignore 3/4 can someone please explain

Answers

Answer: 1/6

Explanation:

The question is asking how much of the whole circumference is arc AB given that it's central angle is 60°. We can see that the angle is \(\frac{60}{360}\) of the whole. This means that if there were 360 equal sectors, or slices, of the circle, then this angle would take 60 of them.

From this, we can see that if the circumference was divided into 360 equal parts, then the arc would also take up 60 of them, making the arc \(\frac{60}{360}\), or \(\frac{1}{6}\).

We could have alternatively seen that the ratio of arc length to the whole circumference would be the same as the ratio of the central angle to the "whole angle" or 360°.

\(\frac{Arc\hspace{0.1cm}Length}{Circumference}=\frac{Central\hspace{0.1cm}Angle}{360}\)

Putting in 60 for the central angle, we get

\(\frac{Arc\hspace{0.1cm}Length}{Circumference}=\frac{6}{360}=\frac{1}{6}\)

The question is asking what fraction of the circumference is the arc length, so let's isolate the arc length by multiplying the circumference to both sides

\(Arc\hspace{0.1cm}Length=\frac{1}{6}*Circumference\)

This equation in words says that the arc length is one sixth of the circumference, which is exactly what the question is asking.

Consider the following figure ABDC with diagonal BC. Sides AB and DC are congruent angle A is congruent to angle D and sides AC and DB are congruent

Answers

Quadrilateral ABCD is both a parallelogram and a rhombus.

The figure ABDC with diagonal BC, with the congruent sides AB and DC, angle A is congruent to angle D, and sides AC and DB are congruent is a parallelogram. This is based on the definition of a parallelogram which is a quadrilateral with opposite sides that are parallel and congruent to each other.

Also, opposite angles of a parallelogram are congruent. Therefore, angle A and angle C are congruent. Additionally, angle B and angle D are also congruent because they are opposite angles of a parallelogram.The diagonal of a parallelogram cuts it into two congruent triangles.

Triangle ABD and triangle CBD are congruent triangles, since their sides are congruent, and angles A and D, and angles B and C, are congruent by the given information.

Therefore, their included angles ABD and CBD are also congruent. Because their opposite sides are congruent, quadrilateral ABCD is a rhombus. A rhombus is a parallelogram with all sides congruent. This implies that sides AB, BC, CD, and DA are all equal.

In conclusion, quadrilateral ABCD is both a parallelogram and a rhombus.

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Sat prep find y in equilateral triangle ABC.
a. 90 b. 70 c. 60 d. 40

The Answer is B

Answers

find y in equilateral triangle ABC.

C. 60°

The answer is 60° because we know that all angles of an equilateral triangle are equal to 60°...~

Please PLEASE HELP ME ME ME ME ;c ON this proble IF U solv IT PLEASE IA GIVE BRIAN LIST Fill in the missing factors to find the given estimated product
6,397 x 349= ___________ x ___________1,800,000I

Answers

Answer:

Use the given functions to set up and simplify

0.6=397x.349=1=x=1138553800=x=11385530=x=1138553

Explanation:

how is a family defined

Answers

Answer:I only answered so that the other person can get brainliest

Explanation:

what causes us to have seasons at different times of the year on different parts of the Earth. What is one thing that causes seasons? (Select 3)
A. the Earth's movement around the sun
B. the oval-shaped orbit of the Earth
C. the distance between the Earth and sun
D. the tilt (North pole) points in the same direction
E. the Earth is tilted on its axis

Answers

Answer: E

Explanation: without the tilt we wouldn’t have any seasons, so it would make sense that the tilt on earths axis is the reason why we have seasons.

Liam has a job that pays $24.15 per hour for a 40-hour work week. He is paid time and a half for every hour over 40 that he works in a week. What will his gross pay be for a week in which he works 47 hours?
966
$1,219.58
$1,702.58
$1,135.05

Answers

His gross pay for a week in which he works 47 hours is $1220.57.

How to calculate this

Liam works 40 hours at $24.15 per hour, so his regular pay would be 40 * $24.15 = $966.

For the 7 hours over 40, he gets paid time and a half, so he earns $24.15 * 1.5 = $36.225 per hour.

So for the 7 hours over 40, he earns 7 * $36.225 = $254.57.

Thus, Liam's gross pay for the week would be $966 + $254.57 = $1220.57.

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14 more than a number c is 2.

Answers

C=2

So the equation is

14+c=?

So the answer would be

14+2=16
14+ c= 2
14 more than (+) a number (c) is(=) 2.
Subtract 14 from both sides: c=2-14
C= -12

during a college visit, you should be sure to

Answers

Answer:

Explanation:

During a college visit you should be sure to ask questions of current students. Community colleges have smaller campuses than four-year institutions do; as such, you'll likely have much more direct access to students than at larger schools where students are spread across multiple buildings or even campuses.

According to the chart, union membership peaked around . Membership began steadily to after 1970. In 2000, about % of workers were members of a union.

Answers

The chart, union member peaked around 1945 and declined after the 1970s this decline was about 12% of member union.

What is a union?

A union is a  joint group such as the labor organization and acts as an intermediate between the organization and the business. Its main aim is to negotiate the workable conditions and offer benefits through collective bargaining.

Find out more information about the union.

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;p just made this outfit and its a uniform for a school outfit idea

;p just made this outfit and its a uniform for a school outfit idea

Answers

Its really cute

i love it

Answer:

Wow that is really nice!!

I love it soo much!!!!!

Really cute!!!

Select the correct answer from each drop-down menu. Scientists that reducing the consumption of substances that emit harmful gases would reduce pollution. Jonathan was irritated by the noise made by the loud musical procession on the street. The poor farmer was in for a pleasant surprise when he stumbled upon a pot of gold buried in his yard.

Answers

1. Scientists conjectured that reducing the consumption of substances that emit harmful gases would reduce pollution.

2. Jonathan was irritated by the incessant noise made by the loud musical procession on the street.

3. The poor farmer was in for a pleasant surprise when he fortuitously stumbled upon a pot of gold buried in his yard.

In this exercise, you're required to fill in the gap (blank) in the given sentences with the most appropriate word as follows:

1. Scientists conjectured that reducing the consumption of substances that emit harmful gases would reduce pollution.

A conjecture is a noun and it can be defined as an opinion or conclusion that is formed without sufficient evidence, fact or proof. Thus, a conjecture is formed on on the basis of an inconclusive or incomplete information.

2. Jonathan was irritated by the incessant noise made by the loud musical procession on the street.

Incessant is an adjective and it can be defined as an unpleasant thing that happens continuously without interruption. Thus, it is a word that is used to describe something that is ceaseless, unending or happens without stopping.

3. The poor farmer was in for a pleasant surprise when he fortuitously stumbled upon a pot of gold buried in his yard.

Fortuitously is an adverb and it is used it describe a situation or an event that happened by chance or accidentally rather than happening intentionally.

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Answer:

1. Scientists conjectured that reducing the consumption of substances that emit harmful gases would reduce pollution.

2. Jonathan was irritated by the incessant noise made by the loud musical procession on the street.

3. The poor farmer was in for a pleasant surprise when he fortuitously stumbled upon a pot of gold buried in his yard.

Explanation:

please help! Next Question i'm gonna be asking is gonna be for 35 points!

please help! Next Question i'm gonna be asking is gonna be for 35 points!

Answers

Answer:

1. 9,000

2. 40,000

Explanation:

You have to estimate the approximate amount.

A square field measures 10 meters by 10 meters. Ten students each mark off a randomly selected region of the field; each region is square and has side lengths of 1 meter, and no two regions overlap. The students count the earthworms contained in the soil to a depth of 5 centimeters beneath the ground's surface in each region. The results are shown in the table below. Region A B C D E Number of earthworms 107 147 146 135 149 Region F G H I 150 B) 1,500 C) 15,000 D) 150,000 Number of earthworms 141 150 154 176 166 Which of the following is a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground's surface in the entire field?​

Answers

Answer:

C: 15,000

Explanation:

Found this question online try to add a picture with the question next time.
Since the area is a 10x10 or 100, each marked spot is a 1x1, so there are 100 1x1s in a 10x10. We add up all the values to get 107 + 147 + 146 + 135 + 149 + 141 + 150 + 154 + 176 + 166 = 1,471. If we multiply this by 10 then we get 14,710, which rounds up to 15,000

A reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground's surface in the entire field is 15,000.

To approximate the number of earthworms in the entire field, we can sum up the number of earthworms in each region. The given table provides the counts of earthworms in each of the ten regions marked off by the students.

Summing up the number of earthworms in each region:

107 + 147 + 146 + 135 + 149 + 141 + 150 + 154 + 176 + 166 = 1,521

Since each region is 1 meter by 1 meter, and there are 100 such regions in the 10 meters by 10 meters field, we can calculate the average number of earthworms per region as:

1,521 / 10 = 152.1

Next, we need to consider that the field is 10 meters by 10 meters, which gives us a total of 100 square meters. Assuming that the earthworm distribution is relatively uniform throughout the field, we can estimate the average number of earthworms per square meter as:

152.1 / 100 = 1.521

To convert this to the total number of earthworms in the entire field, we multiply the average number of earthworms per square meter by the total area of the field:

1.521 * 100 = 152.1

Finally, to convert this approximation to the depth of 5 centimeters, we can assume a proportional relationship. Since 5 centimeters is 1/20th of a meter, we can multiply the approximation by 20:

152.1 * 20 = 3,042

Therefore, a reasonable approximation of the number of earthworms to a depth of 5 centimeters beneath the ground's surface in the entire field is 15,000.

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what is 5/21 as a decimal rounded to 3 decimal places

Answers

Answer:

0.248

Explanation:

Answer:

0.238

Explanation:

in decimal rounded to 3 decimal places = 0.238

Decide whether the sentence is correct or incorrect as written. Necesitamos cantan bien

Answers

Answer:Incorrect

Explanation:Translation:we need to sing well;

Usted habla por telefono. Translation: Do you (formal) talk on the phone.

The written sentence is incorrect. The sentence translates to we need they sing well.

What is a sentence?

Several words combined to convey meaning constitute a sentence. A complete thought is expressed in a sentence, which is the fundamental building block of language. This is accomplished by adhering to the syntax's fundamental grammar rules. "Ali is walking," as an illustration.

To state (declare) a complete thought, a complete sentence must at the very least have a subject and a main verb. Quick illustration She moves forward by walking. The noun performing the primary verb is referred to as the subject. The action the subject is performing is the main verb. The initial letter of a written sentence is capitalized in English and many other languages.

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read this sentence from the article.i think it is vital to consider the scientific definition of life, however, and to take the recent excitement with a grain of salt.explain the meaning of the phrase “with a grain of salt” as it is used in the sentence. use details from the article to support your answer.​

Answers

Though we can look at the scientific definition of life, this doesn’t mean this explains everything, considering there is so much we don’t know, hence the “grain of salt.”

The bear population in a national forest was monitored for several years. Scientists collected data about what the bears ate during those year. The data was summarized and presented in this pie chart. Which statement would be a researcher observation from the data collected during the ten years? A) Bear cubs ate plants. Adult bears ate animals. B) The largest part of the bears' diet was plants. C) The bears' ate more animals than they did plants. D) Bears like to eat plants more than they like to eat animals.

Answers

Answer:

c

Explanation:

Answer:

We cannot answer that question, b/c we need the chart.

Explanation:

Recent studies have shown that babies do have unique cries to identify their needs, and
interpreting a baby's vocalizations is not as difficult as it may seem.
A. needs. Interpreting
B. needs; interpreting
C. needs, so interpreting
D. needs, interpreting

Answers

I would say the answer is D
The answer is A. These sentences are 2 different sentences and need to be separated to avoid creating a run-on.
Other Questions
Use the following excerpt from Letter to Vera Zasulich (1881) to answer the question below:"To save the Russian commune, a Russian revolution is needed."Source: English translation of Letter to Vera Zasulich Creative Commons LicenseWho is most likely to have made this statement? (5 points)Robert OwenAdam SmithCharles FourierKarl Marx What are some facts about the Korean culture At the beginning of a month, the number of people rock climbing increases and then decreases by the end of the month. The number of people zip-lining steadily increases throughout the same month. The models show the number of people y for each type of activity based on the number of days x since the beginning of the month.a. Write a system of equations that represents this situation.b. On what day or days were the same number of people rock climbing and zip-lining?c. How many people were participating in each activity on that day or days? 1. Explain what a polygon is and how it is classified. Give more than one example to justify your answer.2. What is a one-hundred sided polygon called? Why?3. Tell whether the following is or is not a polygon and justify your answer: The parts of the property that are necessary or convenient to the existence, maintenance and safety of a condominium and are normally used by all of the condo residents are known as:__________ A difference in quantity of materials used on two comparable jobs may be caused by Oa. poor quality materials Ob. inadequately trained employees Oc. employee carelessness Od. All of these choices are correct. Guys I need help with what is 1+1= which one of the following is an advantage of having production operations to manufacture athletic footwear in all four geographic regions? group of answer choices increased ability to reduce companywide spending for best practices training of plant workers because all the best practice training benefits gained at one plant are immediately transferred to other plants at zero cost. increased ability to produce 500 models/styles at each production facility at a lower total production cost per branded pair produced than other rivals also producing 500 models/styles but having plants in only 1, 2, or 3 regions. increased ability to achieve lower total labor costs per pair produced than rivals having only 1, 2, or 3 plants. maximum ability to achieve all available economies of scale in producing footwear and thereby gain a competitive advantage vis-a-vis rivals based on lower total production costs per pair. reduced exposure to adverse exchange rate cost adjustments (because having production facilities in all four geographic regions typically enables a company to reduce cross-region shipments of pairs that are subject to unfavorable shifts in exchange rates). Chen is opening a new account with a $1,200 deposit. She will be keeping money in the account, compounded monthly for no more than 3 years. the formula gives the value, V, of the account as a function of time, t. Which is a reasonable domain of this function?V(t)= 1,200(1 + 0.02)^t/12A) 0< or equal to t < or equal to 36B) 0 Comprehensive Ratio Calculations The Kretovich Company had a quick ratio of 1.4, a current ratio of 2.5, a days sales outstanding of 36.5 days (based on a 365-day year), total current assets of $687,500, and cash and marketable securities of $120,000. What were Kretovich's annual sales? Do not round intermediate calculations. Round your answer to the nearest dollar. a client is treated for an infection involving the left eye. the prescribed medications include eyedrops and antibiotic ointment. when applying the antibiotic ointment, it is most important for the nurse to take which action?avoid touching the eyeball with the tip of the tube what is the ...... between the Moon and the Earth?(distant) Using time and materials pricing, what is the total price for a job requiring 2 direct labor hours and $59 of materials TRUE/FALSE. If you put $500 into a savings account that pays simple interest of 8% per year, and then withdraw the money two years later, you will earn interest of exactly $80 >EXAMPLE 3Marcus is putting new tiles on his kitchen floor. Each file is 1 squarefoot. The kitchen floor is 6.1 feet wide and 9 feet long. Exactly howmany tiles will he use? You are ordering sweatshirts for your baseball team. The bar graph shows how many of each size you will need. Which choice below is NOT true? 1. A 60-Hz, single-phase source with V = 277 0o volts is applied to a circuit element. (a) Determine the instantaneous source voltage. Also determine the phasor and instantaneouscurrents entering the positive terminal if the circuit element is (b) a 30-resistor, (c) a 15-mH inductor, (d) a capacitor with 100mF. The entry to record depreciation includes a credit to the ______ Account. A) Depreciation Payable B) Cash C) Accumulated Depreciation D) Depreciation Expense. How are light-years used to measure distances and sizes in the universe?OA They provide information about time as well as distance and size.B. They provide more accuracy than using other units of distance and size.OC. They provide smaller numbers to work with when measuring distances and sizes in the universeD. They provide easy conversion into scientific notation, unlike other units of distance and size. Which of the following statements about pesticides is true? a. Pesticides provide plants with essential nutrients. B. Pesticides prevent the destruction of crops. C. Pesticides are never harmful to plants. D. Pesticides are never harmful to animals. Please select the best answer from the choices provided A B C D.