in triangle abc |BC|=4.12cm ,|AC|=6.82cm and angle BCA is 42.5 . Calculate|AB| . and angle bac and angle abc​

Answers

Answer 1

Answer:

i. |AB| = 4.70 cm

ii. BAC = [tex]36.3^{o}[/tex]

iii. ABC = [tex]101.2^{o}[/tex]

Explanation:

i Let |AB| be represented by c, |AC| by b and |BC| by a. Since the question would give an included angle triangle, we first apply cosine rule.

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos C

   = [tex](4.12)^{2}[/tex] + [tex](6.82)^{2}[/tex] - 2(4.12*6.82) Cos [tex]42.5^{o}[/tex]

   = 16.9744 + 46.5124 - 56.1968*0.7373

   = 63.4868 - 41.4340

[tex]c^{2}[/tex] = 22.0528

c = [tex]\sqrt{22.0528}[/tex]

  = 4.6960

c = 4.70 cm

Thus |AB| = 4.70 cm

ii. Applying the sine rule;

[tex]\frac{a}{sin A}[/tex] = [tex]\frac{b}{sin B}[/tex] = [tex]\frac{c}{sin C}[/tex]

[tex]\frac{4.12}{Sin A}[/tex] = [tex]\frac{4.7}{sin 42.5}[/tex]

sin A = [tex]\frac{4.12*sin 42.5}{4.7}[/tex]

         = 0.5922

A = [tex]sin^{-1}[/tex] 0.5922

   = 36.3

BAC = [tex]36.3^{o}[/tex]

But,

iii. BCA + BAC + ABC = [tex]180^{o}[/tex]

[tex]42.5^{o}[/tex] + [tex]36.3^{o}[/tex] + ABC = [tex]180^{o}[/tex]

ABC = [tex]180^{o}[/tex] - 78.8

       = 101.2

ABC = [tex]101.2^{o}[/tex]


Related Questions

The sentiments expressed in the proclamation would have been most widely condemned by White residents of coastal South Carolina Answer A: coastal South Carolina A northern California Answer B: northern California B western New York Answer C: western New York C western Virginia

Answers

Answer:

A. coastal South Carolina

Explanation:

The sentiments expressed in the proclamation would have been most widely condemned by White residents of "COASTAL SOUTH CAROLINA"

The above statement is based on the fact that following the split of North and South Carolina, South Carolina was characterized by the extensive cultivation of cotton, rice, tobacco, and indigo plantations near the sea islands and the Low Country of the South Carolina area. .These plantations were worked by African slaves.

The sentiment expressed in the proclamation stated that "We hold these truths to be self-evident, that all men are created equal..."

Hence, the White residents of Coastal South Carolina would have most widely condemned the proclamation because they have a lot to lose. As they would lose their slaves if they act accordingly.

Write about India and Indians?​

Answers

Indians are the nationals and citizens of India, the second most populous nation in the world, containing 17.50% of the world's population. In India, the term "Indian" refers to nationality, rather than a particular ethnicity or language; the Indian nationality consists of dozens of regional ethno-linguistic groups, reflecting the rich and complex history of the country. Due to emigration, the Indian diaspora is present throughout the world, notably in other parts of Asia, North America, Europe, the Caribbean, Oceania, and Africa. The demonym Indian applies to nationals of the present-day Republic of India, but also to people residing outside of India, who are called Overseas Indians.

[tex] \\ [/tex]

Answer:

Indians are the nationals and citizens of India, the second most populous nation in the world, containing 17.50% of the world's population. In India, the term "Indian" refers to nationality, rather than a particular ethnicity or language; the Indian nationality consists of dozens of regional ethno-linguistic groups, reflecting the rich and complex history of the country. Due to emigration, the Indian diaspora is present throughout the world, notably in other parts of Asia, North America, Europe, the Caribbean, Oceania, and Africa.[4] The demonym Indian applies to nationals of the present-day Republic of India, but also to people residing outside of India, who are called Overseas Indians.

Tensions for the Cold War began at what meeting during WWII? (This was the only time Truman and Stalin would meet.

Answers

Answer: The last meeting of the “Big Three”; Roosevelt, Churchill and Stalin, occurred at Potsdam in July 1945.

2. How did Greyhound respond to the competition from the new bus lines? Did the intensified
competition ultimately hurt or help Greyhound?

Answers

Hello. Unfortunately, you did not submit the text that this question is related to, which makes it impossible for it to be answered. However, I will try to help you as best I can.

It is only possible to know what happened to Greyhound if the text your question is related to is read. However, it is likely that when competing companies began to emerge, Greyhound had established strategies to make it different from competitors, allowing customers to see it as the best option among competitors. For this, Greyhound may have lowered the prices of its products and services, or improved the quality of its products and services. To find out how this actually happened, you will need to read the text.

You will also need to read the text to find out if Greyhound has been favored or disfavored by heightened competition. However, we can say that if the changes that Greyhound made to be a competitive company, attracted more customers and increased profits, it means that it was favored by the competition. On the other hand, if these changes are able to attract customers and increase profits, it means that Greyhound has been undermined by the competition.

What's an impact of the development of empires in Mesopotamia?
A. Empires spread Sumerian culture to a wider area
B. Empires made society less hierarchical
C. Empires decreased agricultural production
D. Empires lessened warfare​

Answers

Answer:

A

Explanation:

Okay the answer is A for a variety of reasons for one we can cross off most of these answers, b is incorrect since the development of empires created complex social hierarchy. Next D, most people were nomadic and didn't fight large scale wars that definitely changed and especially in mesopotamia the fighting was constant, sargon came in then the gutians then the amorites must I go on? And finally c, now this is a viable answer because some stopped focusing on mainly agriculture for other things like making their cities nicer, however some civilizations still had a ton of food like egypt or the indus valley. So sumerian culture spread like wildfire because of trade, much like Buddhism traveled the silk road. people began trading a lot as far as India and China. And even later sumerian culture influenced Babylon, the akadians, the gutians etc. so that's why a is the most viable answer, but you're welcome to draw you're own conclusions

What are the two (2) main reasons the Roman Empire, the Han Dynasty, and the Gupta Empire fell?

Answers

Answer:

1. What are the Two main reasons the Roman Empire fell?

•Invasion of Barbarian Tribes.

•Government Corruption and Political Instability.

2. What are the Two main reasons the Han Dynasty fell?

•Bad rulers.

•The influence of empresses and court eunuchs over child emperors too young to rule by themselves.

3. What are the Two main reasons the Gupta Empire fell?

•The Gupta empire was continuously attacked by Huns.

•Dynastic Dissensions And Weak Rulers.

Hope this helps...... :)

Answer:

All three fell because of internal conflicts and external invaders.

Explanation:

PLATO ANSWERR

All the events listed above are associated with which period in U.S. History?
World War II



The Great Depression



The Cold War



The Progressive Era


CLEAR ALL

Answers

The Cold War

Explanation:

The Cold War was over Communism and the fear of it spreading to the US. McCarthyism was part if the reason why that fear spread.

Charles Lindbergh is best known for expanding:
O A. the social status of immigrants.
B. the popularity of Populism.
C. possibilities in the field of aviation.
D. the cause of civil rights.

Answers

Answer:

C. possibilities in the field of aviation.

Explanation:

what type of voting requirement attempted to restrict African Americans ability to vote by targeting their economic status​

Answers

Poll tax I think if it worked please like and rate too <3

After our discussion in class of the Brown v. Board of Education decision, the Civil Rights Act of 1964, the Voting Rights Act of 1965, and the Civil Rights Act of 1968, chose ONE of the titles or provisions listed below and search the internet for a CURRENT (within the last five years) article that deals with a modern-day problem related to it.

Areas to choose from:
Civil Rights Act of 1964:

Title I—voting rights: This title barred unequal application of voter registration requirements.
Title II—public accommodation: Discrimination based on race in busses, movie theaters, etc.
Title III—desegregation of public facilities
Title IV—desegregation of public education
Title V—Commission on Civil Rights: Expanded commission formed in 1957
Title VI—nondiscrimination in federally assisted programs: Prevents discrimination by programs and activities that receive federal funds.
Title VII—equal employment opportunity
Title VIII—registration and voting statistics
Title IX—intervention and removal of cases: Made it easier to move discrimination cases to federal court
Voting Rights Act of 1965

Vote denial
Vote dilution (gerrymandering)
Civil Rights Act of 1968

Title I - Hate crimes
Titles VIII-IX - Fair Housing Act

Answers

Answer:

Hate crime is a prejudice motivated crime when a perpetrator attacks a victim of a certain race and religion.

According to the crime stats in America: The 2019 hate crimes data, submitted by 15,588 law enforcement agencies, provide information about the offenses, victims, offenders, and locations of hate crimes. Of these agencies who submitted incident reports, there were 7,314 hate crime incidents involving 8,559 offenses.

A recent example of hate crime can be against the Chinese for spreading the coronavirus. Chinese are being discriminated by others, especially in regions like America.

Another example is discrimination against blacks. This is also common in regions like America.

Explanation:

Which generalization is best supported by the information on this map?

1)No trade occurred between East Africa and the Persian Gulf region.

2)The monsoon winds influenced trade between East Africa and India.

3)Trading states developed primarily in the interior of East Africa.

4)Trade encouraged the spread of Islam from East Africa to Arabia.

Answers

Answer:

2). The monsoon winds influenced trade between East Africa and India.

Explanation:

As per the question, the conjecture that can most adequately be supported through the information provided by the given map would be that 'the monsoon winds affected the trade and commerce between East Africa and India.' This is because the directions of the monsoon winds determine the propelling of the trade ships to the coast. The northeast and southwest monsoon winds allow the traders to predict the right time for their trade and reduced the risk factors. Hence, option 2 is the correct answer.

Answer:

it is india

Explanation:

Who is the 15th president of USA?​

Answers

Answer:

Explanation:

James Buchanan

Based on the text, what did Paine hope to achieve
through his writing?

-start a debate with critics

-insult the opposition

-change the opinion of his opposition

Answers

Answer:

no veo el texto

Explanation:

Answer:

1.  to persuade
2. change the position of the opposition
3. metaphors, hyperbole, persuasive language (1, 2 and 4)

Explanation:

pictures below

Which of the following resulted from the relationship between Pope Gregory VII and Henry IV of Germany?

Answers

Answer:

Pope Gregory VII was given the power to raise armies and collect taxes. It banned the practice of lay investiture. Henry IV claimed supremacy over secular rulers, and the Church was now able to grant land to vassals

Explanation:

!

Which statement best describes the county system of government in Washington?

A. Counties join one large government that makes decisions for them.
B. Counties have their own governments that provide services to residents.
C. Counties are divided equally based on population to better serve residents.
D. Counties oversee large parts of the state that are not part of municipalities.​

Answers

Answer:

b

Explanation:

b is the answer

33.
Use the excerpt and your knowledge of Social Studies to answer the following question.
We hold these truths to be self-evident, that all men are created equal, that they are
endowed by their Creator with certain unalienable Rights, that among these are Life,
Liberty, and the pursuit of Happiness.-That to secure these rights, Governments are
instituted among Men, deriving their just powers from the consent of the governed. ..
-U.S. Declaration of Independence, 1776
The greatest influence on these political ideas came from the —
A. Justinian Code
B. writings of John Locke
C. philosophy of Machiavelli
D. theories of Jean-Jacques Rousseau

Answers

Explanation:option D IS THE ANSWER

One of the main functions of the media is engaging in agenda setting. What is agenda setting?

Select one:

a.
The act of choosing which issues or topics are needed to be addressed by a political campaign.


b.
The act of choosing which issues or topics deserve to be hidden from the public.


c.
The act of choosing which issues or topics deserve political attention.


d.
The act of choosing which issues or topics deserve public discussion.

Answers

Answer:

`C

Explanation:

Agenda-setting describes the "ability to influence the importance placed on the topics of the public agenda"

One of the main functions of the media is engaging in agenda setting. The agenda setting is the act of choosing which issues or topics deserve public discussion. The correct option is (D).

What do you mean by agenda setting?

The agenda setting theory, a mass communication tenet, contends that the news media shapes public opinion regarding the most crucial problems.

The power of the news media to affect the weight given to the issues on the public agenda is referred to as agenda setting.

An agenda for a meeting can assist you and your colleagues organize the meeting and keep track of the topics you need to cover.

By giving a concise list of topics, goals, and time constraints, agenda planning will probably result in time savings for all meeting participants.

Therefore, one of the main functions of the media is engaging in agenda setting. The agenda setting is the act of choosing which issues or topics deserve public discussion.

To know more about the agenda setting, visit:

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Which policy did Hideki Tojo pursue after rising to power in Japan during the
1930s?
A. Cutting off Japan's military alliances with Nazi Germany and
fascist Italy
B. Executing any person who was seen as an opponent to Japanese
military rule
c. Improving Japan's diplomatic relationship with Great Britain and
the United States
D. Order an end to aggressive military campaigns following the
Nanjing Massacre

Answers

Answer:

B. Executing any person who was seen as an opponent to Japanese military rule

Explanation:

Hideki Tojo was Japan Prime Minister from 1941. He played a significant role in the Second World War, allowed Japan to exercise its power in Asia and the Pacific Ocean. He signed the Tripartite Pact with Germany and Italy that made Japan an Axis power. He continued the war against China, where the Japanese Imperial Army killing Chinese civilians and soldiers. He also ordered the attack on Pearl Harbor.

What impact did British settlement and policies have on the black population of South Africa between the 1820s and 1914 ?

Answers

Answer:

the impact of racism

Explanation:

both physical and mental labour are important in the development of Civilization express in 300 wordsmmmkjjjjj

What does the term McCarthyism mean? OA. Allowing Communism to influence the government B. Serving a term in the Senate without being elected O. Accusing people of supporting Fascism D. Accusing people of disloyalty without proof

Answers

Answer:

The postwar Red Scare is often called “McCarthyism,” a name derived from one of the era’s most notorious anti-Communists, Senator Joseph McCarthy. Yet the anti-Communist crusade of the late 1940s and 1950s extended both in time and scope well beyond the activities of the junior senator from Wisconsin. Its roots can be traced to the mid-nineteenth century. As far back as 1848, when Karl Marx published the Communist Manifesto, many Americans viewed communism as an alien ideology. The Bolshevik Revolution only added to such anxieties, fueling an earlier Red Scare in 1919.

Explanation:

1
Pretest: Unit 3
Question 6 of 20
What causes the national debt to increase?

What causes the national debt to increase?

Answers

Answer:

In general, government debt increases as a result of government spending.

some examples include include continued federal budget deficits, the government borrowing from the Social Security Trust Fund, the steady Treasury lending from other countries, low interest rates that promote increased investment, and raised debt ceilings.

Which portion of the text reflects the Founding Fathers’ ideas about the natural rights all people are entitled to?

Answers

Answer:

sim eu também preciso desta respota

Answer: for one People to dissolve the Political Bands

Match the explorer with their most important accomplishment. Samuel de Champlain explored North America and the Arctic James Cook explored Mississippi Robert La Salle established colony of Quebec Henry Hudson discovered Australia


the answers
-explored North America and the Arctic
-explored Mississippi
-established colony of Quebec
-discovered Australia​

Answers

Answer:

Samuel de Champlain - established colony of Quebec

Robert La Salle - explored Mississippi

James Cook - discovered Australia​

Henry Hudson - explored North America and the Arctic

Explanation:

Explorers play a key role in discovering new places and land outside Europe. France chose to send its voyages to seek a route to the Pacific Ocean and wealth after many European nations founded colonies in the New World.

Samuel de Champlain became the first to establish colonies as Quebec and New France.

La Salle was an explorer and trader who begin an expedition in the Mississippi rivers and claimed the region for the French and named it La Louisiane.

James Cook was an English naval captain who explored the Pacific Ocean and discovered Australia which became part of the British Empire.

Henry Hudson was an explorer from England who explored North America (Canada and northeastern part of the U.S.) and the Arctic.

In 30 words or fewer, why do you think Germans and Italians tolerated
their dictators' elimination of democracy during the Great Depression?

Answers

Answer:

Elimination of democracy  in Germany and Italy.

Explanation:

Both Hitler and Mussolini rule German and Italy through a dictatorship. Germany and Italy during the late 1920 and 1930s were suffering from economic crises. Italy and Germany were weak and frustrated with democratic rule. To understand the economy and social conditions that existed during the 1930s, we need to understand the aftermath of World War I. Europe after the war was very much suffering in the economy with many countries in dept. Germany humiliated by the Treaty of Versailles with agreements that changed the social and economic conditions for the German people. The 1930s, known for its mass poverty and violent extremism, led to the rise of populist, nationalist movements in Italy and Germany.

What are THREE WAYS that Johnson’s “war on poverty” helped poor people find work and increase their income?
by lending money to large corporations
by passing the Economic Opportunity Act
by starting the Peace Corps
by raising the minimum wage
by establishing the Job Corps

Answers

Three ways that Johnson’s “war on poverty” helped poor people find work and increase their income are-

bypassing the Economic Opportunity Actby starting the Peace Corpsby establishing the Job CorpsWhat is Poverty?

Poverty is referred to as a situation when an individual is unable to meet his necessities of life which include, food, shelter, and cloth due to having a lack of financial resources.

The law President Lyndon B. Johnson introduced in 1964 was known as the "War on Poverty." The legislation was designed to address the issue of poverty in the entire nation.

The president has introduced various policies like Economic Opportunity Act, peace Corps and Establishing the Job Corps which help to support the Poor People.

This policy helps them to look for opportunities that help them in finding resources to strengthen financial stability.

Learn more about the “war on poverty”, here:

https://brainly.com/question/13110811

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A historian using the thinking skill of primary source analysis might ​

Answers

Answer:

interview civilians who are currently living in a war zone

Explanation:

A primary source refers to the source that provides the primary information of the incident. Primary information involves information received first hand. The civilians are the primary source of the information about the war. They have witnessed the evils of the wars and they would prove to give the first hand information. The historian approaching the civilians and is using the the thinking skills of the primary source analysis.

background of the Truth and reconciliation​

Answers

The Truth and Reconciliation Commission of Canada (TRC) was created as a result of the Indian Residential Schools Settlement Agreement (IRSSA). ... Divided into 14 sections, the mandate outlined an ambitious set of goals, activities and requirements the commissioners of the TRC were to follow

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)


In winning the Mexican War, the United States achieved its primary goal of

Answers

Answer:

The war officially ended with the February 2, 1848, signing in Mexico of the Treaty of Guadalupe Hidalgo. The treaty added an additional 525,000 square miles to United States territory, including the land that makes up all or parts of present-day Arizona, California, Colorado, Nevada, New Mexico, Utah and Wyoming.

In what country did the Renaissance begin?
Ialy
France
Spain
Germany

Answers

Answer: It began in Italy.

Hope this helped, have a nice day!

Answer:

Italy

Explanation:

Hope that's right

L Pretest: Unit 2
Question 11 of 50
As a result of its high volume of trade with Great Britain, the Mughal Empire:
A. controlled trade routes between Europe and Asia.
B. gradually lost control over its own economy.
C. rapidly upgraded its military using new technology.
D. was pressured to abandon its Sharia legal system.
SUBMIT

Answers

Answer: B. gradually lost control over its own economy.

Explanation:

As the British continually traded with the Mughal empire, they began to exert more and more control over the economy like they did in China. They used this to push for favorable terms in trade for the British above other European countries like Holland.

This eventually culminated with the British simply conquering the Mughal empire and taking over India and its surrounding areas through the use of the British East India Company which was the principal company controlling trade.

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