what is the length of each leg of the triangle below?

What Is The Length Of Each Leg Of The Triangle Below?

Answers

Answer 1

By applying the sine trigonometry, the value of leg s is equal to: F. 8 units.

How to apply basic trigonometry?

In order to determine the value of leg s, we would apply basic trigonometry. From the diagram of the right-angled triangle shown above, we can deduce the following parameters:

Angle (θ) = 45°.Opposite (Opp) = s.Hypotenuse (Hyp) = 8√2.

Next, we would use the sine trigonometry to determine the value of leg s:

Sinθ = Opp/Hyp

Sin45 = s/8√2

1/√2 = s/8√2

s√2 = 8√2

s = (8√2)/√2

s = 8 units.

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Related Questions

Read excerpt from "Everest Then and Now."

Since these early summits, over 4,500 ascents have been made to the top of Everest. Every year, more and more people flock the mountain, but not everyone goes there to climb. About 25,000 tourists visit the Everest area each year simply to experience the spectacular sights and culture. The increase in tourism and the number of climbers in recent decades has certainly helped the local economy. There are now schools, hospitals, and stores at the bottom of the mountain in Nepal. Everest has seen an explosion in popularity since the year 2000. The number of summit attempts has increased dramatically. This is partly because it's easier than ever to travel to Everest. Modern transportation allows tourists and adventure seekers to fly into nearby cities. New technologies and better climbing equipment have also played a role. Improvements to climbing gear have made climbing Everest safer in many ways. However, climbing Everest still requires serious training and preparation.

Most climbers train a lot before attempting to climb Everest. They train to improve their physical condition. The most common ways to train include climbing, swimming, running, biking, and weightlifting. You need to have good endurance, stamina, and strength to climb Everest. They also need to buy equipment, including boots and clothes made of special materials. Spikes that attach to boots are necessary to prevent slipping. Having an ice ax also makes climbing easier. Ski goggles protect the eyes from high winds and blowing snow in blizzards. Portable burners and lightweight pots are needed for cooking on the mountain. An outdoor GPS receiver is also necessary so that climbers can be located if they get stuck and need to be rescued. There is an area of the mountain called Khumbu Icefall. This area contains shifting ice and deep crevasses. Special ropes and ladders are needed to cross this area. Climbers use the ladders and ropes to build bridges across gaps in the snow and ice. Some climbers bring their laptops, phones, and cameras to document their journey to the peak. Believe it or not, Everest has a Wi-Fi network.

How have improvements in technology changed the experience of climbing Mount Everest?

Gadgets have made climbing easier but have created much more waste that gets left behind by climbers.
In many ways, climbing the mountain is easier due to more modern transportation and equipment.
People reaching the summit are mainly concerned with taking a snapshot and sending it home.
The special equipment needed to climb the mountain is much less expensive and lighter than in the past.

Answers

Because of more advanced equipment and transportation, climbing Mount Everest is in many respects now simpler. Technological advancements have also altered the nature of the climb.

What is the Mount Everest?

The tallest Himalayan peak is the Mount Everest unique. The enormous Everest is 8848 meters high. The mountain's location on the boundary between Nepal and Tibet, China.

Climbers benefit from satellite communications, which improve their situational awareness and help them find their destination. Despite popular belief, Everest has a Wi-Fi network.

As a result, option (b) is correct.

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What was the result of the Anschluss?

tell me for 70 points

Answers

A referendum on the Anschluss with Germany was held in German-occupied Austria on the 10th of April 1938
A referendum on the Anschluss with Germany was held in German-occupied Austria on 10 April 1938, alongside one in Germany. German troops had already occupied Austria one month earlier, on 12 March 1938. The official result was reported as 99.73% in favour, with a 99.71% turnout.

What important naturalist theme is reflected in this excerpt from Stephen Crane's "The Open Boat"?

The birds sat comfortably in groups, and they were envied by some in the dinghy, for the wrath of the sea was no more to them than it was to a covey of prairie chickens a thousand miles inland. Often they came very close and stared at the men with black bead-like eyes. At these times they were uncanny and sinister in their unblinking scrutiny, and the men hooted angrily at them, telling them to be gone.

. . . the captain gently and carefully waved the gull away. After it had been discouraged from the pursuit the captain breathed easier on account of his hair, and others breathed easier because the bird struck their minds at this time as being somehow gruesome and ominous.

Answers

The important naturalist theme that is reflected in this excerpt from Stephen Crane is that the seagulls symbolize the subconsciousness fears and anxieties of the crew.

What is a theme?

It should be noted that a theme simply means the underlying message that's deduced from the literary work.

In this case, the important naturalist theme that is reflected in this excerpt from Stephen Crane is that the seagulls symbolize the subconsciousness fears and anxieties of the crew.

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As new states began to form from the Louisiana Territory, a debate quickly arose over slavery in the territory. What was the northern argument in the debate? What was the southern argument? How did the Missouri Compromise resolve the issue (at least temporarily)? Be specific.

Answers

Answer:

The debate was over how to deal with the spread of slavery into the western territories. The northern part argued that slavery should be abolished while the southerners argued to expand slavery. The Missouri Compromise resolved this issue by admitting Missouri as a slave state and Maine as a free state both at the same time so they won't upset the balance between the free and slave states.

Explanation:

Northern argument: Opposed slavery expansion due to moral concerns and economic differences.Southern argument: Supported slavery expansion as necessary for their economy and defended it as a constitutional right.Missouri Compromise resolution: Admitted Missouri as a slave state, Maine as a free state, and established a line prohibiting slavery in future territories above the 36°30' parallel.

Northern argument: The northern states, driven by moral objections to slavery and influenced by their industrialized and free labor-based economy, opposed the expansion of slavery into new territories. They argued that slavery was morally wrong and incompatible with their vision of a modern society.

Southern argument: The southern states, heavily reliant on agrarian economies sustained by slave labor, supported the expansion of slavery into new territories. They believed that slavery was a fundamental institution protected by the Constitution and essential for their economic prosperity and way of life.

Missouri Compromise resolution: The Missouri Compromise, enacted in 1820, temporarily resolved the slavery debate by admitting Missouri as a slave state and Maine as a free state, maintaining a balance of power between slave and free states in Congress.

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Who was president of the continental congress when the declaration of independence was ratified on july 4, 1776?.

Answers

Answer:

John Hancock was president of the continental congress

1. consider the following people from 19th-century britain: factory worker,
shop owner, factory owner, unemployed artisan. which of them would be
most likely to prefer capitalism and which would prefer socialism? why?

Answers

factory owner would be most likely to prefer capitalism because they would benefit the most from the exploitation of others for profit. the unemployed artisan would prefer socialism because it's designed to help people in similar situations.

While the unemployed artisan and factory worker would prefer socialism since it is designed to help those in similar situations, the factory and stop owner would be most likely to favor capitalism because they would stand to gain the most from the exploitation of others for profit.

What is socialism?

A political and economic system known as socialism, which is often run by the state or government, is one in which property and the means of production are owned in common.

The foundation of socialism is the notion that shared or public ownership of resources and means of production results in a society with greater equality.

Theoretically, socialism aims to create the greatest amount of common wealth through public benefits. Since the government oversees the majority of societal activities, it can utilize resources, labor, and lands more efficiently.

Socialism lessens wealth disparity not only between different regions but also between all social classes and ranks.

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Why do historians use themes when organizing information about the past?

Answers

Answer:

so that they can remember

Explanation:

Answer:

they used themes for organizing information about past so that they can remmember it

Explanation:

the list of issues from the three estates in France
where do you see the agreement

Answers

The list of issues that existed from the three estates in France were:

The Third Estate were unhappy with the monopoly of the first two estatesThere was the talk of a constitution that would control the king and taxation.

What were the three estates?

This refers to the three main factions that existed in France during the French Revolution and they were ranked in order of importance.

Hence, we can see that the three estates of the realm in France were:

The First Estate was the clergy, the Second Estate was the nobility, the Third Estate was everybody else

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Which of these events happened during the 1970s?
0 A. End of the Vietnam War
O B. Sony introduced the Walkman
O C. Nixon resigned
O D. All of the above

Answers

D. All of the above!!!

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.

Answers

Answer:

30 x - 15 = 72

30 x = 72 + 15

30 x = 87

x = 87/30

X = 29/ 10

Remus was killed by his own brother in a fit of anger after they began to fight

Answers

Remus was killed by his own brother in a fit of anger after they began to fight when he jumped over the wall of Romulus and continue to make jest of his brother.

What caused the death of Remus?

The death of Remus was as a result of conflict between him and his brother.

In this story, Romulus and Remus were born on the same day by their mother, which means they are twin brothers.

When they are still  babies they were put put into a basket and they were been placed into the River Tiber where they were found.

As they are growing up, they have different behavior, Remus's, brother is violent due to anger issue, Remus was killed by his own brother.

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What ultimate effect did violence and warfare between White settlers and Native Americans have in Texas

Answers

The ultimate effect that violence and warfare between Anglos and Native Americans have in Texas  caused severe decline in Native American population.

What is the result of violence and warfare between Anglos and Native Americans?

The violence and warfare between Anglos and Native Americans made some of the Native American population to migrate to another region because of the dispute.

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Starting in 1600 BC, describe the groups who controlled Babylon and how each group or person came to power.

Answers

Babylonia, or Babylon as it is called by some people, was a very small city in Southern Mesopotamia, Which stood along different towns from the sooner Akkadian Empire, like Ur, Kish, and Uruk, simply to call a few.

What knowledge do you have about the city of Babylon?

Babylonia was at the center of this small kingdom known as Kazallu. There have been many rulers who constantly helped Babylonia to expand and develop into an unbiased nation.

The first such ruler, now no longer but named king, become Sumu-abum, accompanied with the aid of using numerous others by the primary Amorite who was known as himself king: Sin-Muballit.

By 1792 BC, matters were modified in Babylonia, and it had become a quite powerful, however empire, under the guideline of thumb of Amorite chief and king Hammurabi.

It becomes this man who was liable for the improvement and boom of the Babylonian Empire and its extension all through a maximum of Mesopotamia, along with the tons older Assyrian Empire.

Thus, these were the groups who controlled Babylon starting from 1600 BC.

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Not only did the Romans build a large network of roads, they also built many aqueducts. What is an aqueduct?


It is a bridge or series of bridges built over obstacles to bring water to cities.


It is another name for a pool.


It is another name for a cathedral.


It is a man-made lake.

Answers

An aqueduct is a bridge or series of bridges built over obstacles to bring water to cities.

Which routes did the Romans construct?

Roman roads came in a variety of sizes and shapes, from narrow, local roads to wide, long-distance thoroughfares constructed to link cities, large towns, and military sites.

These large thoroughfares frequently had a stone or metal surface cambered for drainage and had walkways, bridleways, and drainage ditches on either side.

Hence choice first is correct regarding the aqueduct.

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This timeline focuses on Germany’s history in the first half of the twentieth century.

• June 1919: Germany signs the Treaty of Versailles.
• May 1924: Hitler writes Mein Kampf in prison.
• Jan. 1933: Hitler becomes the Chancellor of Germany.
• Mar. 1933: The Enabling Act makes Hitler a dictator.
• Apr. 1933: Hitler announces a boycott of Jewish-owned businesses.
• June 1938: The Anschluss occurs as Germany takes over Austria.
• Nov. 1938: Kristallnacht occurs, destroying Jewish-owned businesses.
• Sept. 1939: Germany invades Poland.

Which entries could best be used to support a document-based essay on Nazi Germany’s aggressive foreign policy? Select two answers.

June 1919
May 1924
January 1933
June 1938
November 1938
September 1939

Answers

The entries that could best be used to support a document-based essay on Nazi Germany is :

( D ) June 1938( F ) September 1939

Nazi Germany Aggressive policy

Nazi Germany aggressive foreign policy was made to break the treaty of versailles and gain/occupy territories to the east " Lebensraum" and to achieve this, Adolf Hitler started preparing for a war to achieve his policy, and The Anschluss occurs as Germany takes over Austria.and Germany invading Poland best supports s document-based essay on Nazi Germany.

Hence we can conclude that The entries that could best be used to support a document-based essay on Nazi Germany is : June 1938 and September 1939

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Answer:

June 1938

September 1939

Explanation:

The answer above is correct.

1. ways the Canadian military was taken serious in World War I?

2, some of the events in World War I that Canada was involved in?

3. How did Canada show they were a strong military force?

Answers

Explanation:

The military history of Canada during World War I began on August 4, 1914, when the United Kingdom entered the First World War (1914–1918) by declaring war on Germany. The British declaration of war automatically brought Canada into the war, because of Canada's legal status as a British Dominion which left foreign policy decisions in the hands of the British parliament.[1] However, the Canadian government had the freedom to determine the country's level of involvement in the war.[1][2] On August 4, 1914, the Governor General declared a war between Canada and Germany. The Militia was not mobilized and instead an independent Canadian Expeditionary Force was raised

What the answer question

Answers

The answer choice that DOES NOT explain why the executive branch has become more powerful than the legislature is option A.

What is the Executive Branch?

This refers to one of the arms of government that is charged with protecting the people in times of war, charging taxes, regulating commerce, etc.

Hence, we can see that from the answer choices, one can see that the executive branch of government became more powerful because of different reasons, but option A is NOT part of the reason.

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HURRYYYYY PLEASEEEE

How did Meiji leaders attempt to make Japan a great power?

Answers

Answer:

industrialization

Explanation:

gained independence/equality internationally

- by winning two wars

increased military strength/power

(also involved in previous)

foreign trade improvement

- telegraph lines

- railroads

legal power

- had a constitution and law-making [parliamentarian]

and they adopted universal education

so, they essentially just speed-ran industrialization

hope this helps! :)

Answer:

industrialization

Explanation:

i got a brain

Provide 2 examples of historical bias.

Answers

Two Examples of historical bias:

women are weak  (despite many being very strong).Black and dishonesty.

What is History bias?

History biases serves as those  events that are unrelated a particular policy that is undergoing  study which actually took place  before implementation of that policy.

For instance, women are always been refer to as been weak, however there are alot of strong women that are are influential that me today such as Queen Elizabeth.

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The Directory
becomes
unpopular
with the
French people.
Napoleon
Bonaparte
establishes the
Consulate.
?
Which statement best completes the diagram related to the French
Revolution?
A. The French republican government is replaced with a dictatorship.
B. Jacobin leaders execute tens of thousands in the Reign of Terror.
C. The First Estate reestablishes its status as France's highest social
class.
D. The National Convention formally demands changes to France's
constitution.

Answers

Answer: A

Explanation:

The statement that completes the diagram related to the French Revolution is A. The French republican government is replaced with a dictatorship.

What is French Revolution?

It should be noted that the French Revolution was the movement that took place between 1787 and 1799.

In this case, French republican government is replaced with a dictatorship. Therefore, the correct option is A.

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What is deconstruction, and why is it an important tool in the 21st century? what groups of people should pay particular attention to deconstruction?

Answers

Answer:

Deconstruction is a way of understanding how something was created, usually things like art, books, poems and other writingWhy is the deconstruction important?

Because deconstruction examines the internal logic of any given text or discourse it has helped many authors to analyse the contradictions inherent in all schools of thought; and, as such, it has proved revolutionary in political analysis, particularly ideology critiques

Explanation:

When the economy became depressed and
some farmers could not pay their debts,
what action did some states take?
A. slavery was instituted
B. debt was forgiven
C. land was seized

Answers

The economy became depressed and some farmers could not pay their debts, the action take C. land was seized

As a result local sheriffs seized many farms and some farmers who couldn't pay their obligations were put in prison. These circumstances led to the first major armed rebellion in the post-Revolutionary United States. Once again, Americans opposed high taxes and unresponsive government that was far away.

What causes a depressed economy?

An economic depression is primarily caused by worsening consumer confidence that leads to a decrease in demand, eventually resulting in companies going out of business.

When customers stop buying yields and paying for services, companies need to make budget cuts, including operating fewer workers. The economy evolved depressed and some farmers could not pay their debts.

What causes a depressed economy?

An financial depression is primarily caused by worsening consumer confidence that leads to a decrease in demand, ultimately resulting in companies going out of business.

When clients stop buying products and paying for services, companies need to make funding cuts, including employing fewer workers.

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An economic system that allows the government very little power to regulate commerce or restrict the use of private property is called

a. socialism

b. communism

c. laissez-faire capitalism

d. corporatism

e. feudalism

Answers

Answer:

the answer is c

Explanation:

Which founding father signed both the declaration of independence and the u. S. Constitution?.

Answers

Roger Sherman
was a member of the Committee of Five that was chosen to write the Declaration of Independence. He and Robert Morris were the only individuals to sign the Declaration of Independence, the Articles of Confederation and the Constitution.

George’s doctor has prescribed medication to regulate his levels of norepinephrine and serotonin to stabilize the cycles of __________ disorder.
A.
schizophrenic
B.
major depressive
C.
disassociative
D.
anxiety

Answers

By prescribing medicaments to regulate levels of norepinephrine and serotonin, George's doctor aims to stabilize the cycles of major depressive disorder.

What is major depressive disorder?

It corresponds to a mental illness caused by biological, psychological and environmental factors that generate emotional dysregulations, such as sadness and anguish, and changes in neuronal circuits in the brain, which can impact the person's life as a whole.

Therefore, the drugs prescribed by the doctor will help the patient with major depressive disorder to have a better quality of life and regulation of their well-being brain receptors.

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Why and how were governments created?

Answers

Answer:

Governments are created to establish and order among people. This is a human tendency. Since the beginning of time, humans have needed a system to guide and to make sure that nobody can have a lot of power.

Explanation:

That is why there are three branches.

legislative

executive

judicial

A group dedicated to promoting civil rights would most likely focus on
addressing which problem?

Answers

Answer:

A group dedicated to promoting civil rights would most likely focus on

addressing lack of understanding on right to constitutional remedies.

I hope this helps, L.E.

An increase in railroad mileage in an area led to great economic growth in that area. Between 1870 and 1890, which area had the greatest increase in railroads and, as a result, the most significant economic growth?
New England
the South
Western states and territories
the middle states

Answers

Western states and territories

Which of the following groups would have been least likely to have objected to the circumstances described in the excerpt?

Answer: Social Darwinists because they believed in survival of the fittest, so they would be like "Kids have to work for you to survive? Ok, collio"

Answers

The group that would have been least likely to have objected to the circumstances described in the excerpt would be social Darwinists.

What is Social Darwinism?

This refers to the school of thought that life is all about the battle of the fittest and the strongest survive.

Hence, we can see that from the given excerpt, there is the use of narration to show that the strong eat the weak and while this would have been distasteful to some, social Darwinists would not have objected.

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what caused population growth during the glided age

Answers

Explanation:

Millions of immigrants and struggling farmers arrived in cities such as New York, Boston, Philadelphia, St. Louis and Chicago, looking for work and hastening the urbanization of America. By 1900, about 40 percent of Americans lived in major cities.

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John is testing the effect of temperature on the solubility of sugar in water.He plans to determine the mass of sugar dissolved in a saturated solution.He will begin with a known mass of sugar and add sugar to water until thesolution is saturated. He will then calculate how much sugar dissolved bysubtracting the remaining mass from the initial mass.He organized data about his experiment in the following table:Volume of waterTemperatureInitial mass ofsugarFinal mass ofsugarGroup A75 mL25C1000 gGroup B90CGroup C5CWhich of the following would be the best volume of water to use in Group C?A. 25 mLB. 270 mLC. 140 mLD. 75 mL How to solve the inequality of ... which 2 number have the mean of 10 and range of 4 The two DNA strands are held together by ____________ bonding between the bases on the different strands; therefore, all the bases are on the ____________ of the double helix, and the sugar-phosphate backbones are on the ____________ . At the beginning of World War II, the U.S. was committed to a policy of:foreign dependence.military support.isolationism.military aggression. Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. Connotation is the official dictionary definition of a word. The predetermined manufacturing overhead rate for 2020 was $3.00 per direct labor hour; employees were paid $5.00 per hour. If the estimated direct labor cost was $81,000, what was the estimated manufacturing overhead Question 5 of 10What is the first step in solving a quadratic equation of the form given below?(ax+ b) = cO A. Divide both sides by cOB. Factor out a common factorOC. Use the zero product ruleOD. Take the square root of both sides Salmon eggs hatch in freshwater streams and, during their first year of life, the young salmon migrate distances up to 1,000 km in order to reach the ocean. Here they spend up to 5 years where they feed and grow, acquiring more than 95% of their biomass. During the summer of their maturing year, they begin the long journey back to their home streams to spawn. Although it is still uncertain how salmon navigate back to their spawning grounds, current hypotheses suggest that they have a highly developed sense of smell that allows them to remember odors they encountered on their migration to the ocean. They then use these odors to help them navigate back to the streams where they were born. At the spawning grounds, females use their tails to form a hollow cavity in the stream gravel where they lay up to 8,000 eggs. The males fertilize the eggs, and both adults typically die soon thereafter. The physiological response that allows salmon to survive in fresh water, then in salt water, and then fresh water again is an example of ________. Those who rule and defend and those who labor were two of the three major segments of the Middle Ages population. What was the third? The table shows the thermodynamic data for a reaction.Thermodynamic DataEnergy of the Reactants Energy of the Products Activation Energy420 kJ 240 kJ 310 kJWhich of the following statements explains if the reaction is endothermic or exothermic? Consider the reaction below.Upper N a superscript plus, plus upper C subscript 2 upper H subscript 3 upper O subscript 2 superscript minus (a q) plus upper H superscript plus, plus upper C l superscript minus right arrow upper N a superscript plus, plus upper C l superscript minus plus upper H upper subscript 2 upper H subscript 3 upper O subscript 2.Which is the net ionic equation for the reaction? For the following exercises, determine whether the functions are even, odd, or neither.19. Solve |2x 3 | = 17. percent composition of Mg(OH)2 1. A small garden has a perimeter of 24 1/4 ft. If the lengths is 8 ft, what is the area of the garden.2. Lynn is putting tiles on her bathroom floor. Each tile measures 1 square foot each. The floor measures 4 1/2 ft by 3 3/4 ft. How many tiles will she need to cover the floor?3. A dog pen is 3 1/3 yards wide by 5 2/3 yards long. What is the area of the dog pen? HELP! BRainliest +20A function f is defined such that 8f(x)=f([tex]\frac{1}{8}[/tex]x) for all values of x, and f(4) = 24. What is the value of f(32) ? help asapppppplease help asap with this assignment Find the area of each figure. GEOMETRY PLS HELPPPP