A = 60°, C = 30°, and AB = 6 inches. What is the length of side BC?

Answers

Answer 1

Answer:

BC = 6√3 inches

Explanation:

Given - A = 60°, C = 30°, and AB = 6 inches.

To find - What is the length of side BC?

Proof -

Given that ,

∠A = 60° , ∠C = 30° , AB = 6 inches

Let AC = x

By trigonometric identity, we get

cos(60°) = 6/x

⇒x = 6/cos(60°) = 12

⇒AC = 12

Now,

we have

AB = 6 inches , AC = 12 inches

By Pythagoras theorem , we get

(12)² = (6)² + (BC)²

⇒(BC)² = 144 - 36

⇒(BC)² = 108

⇒BC = √108

⇒BC = 6√3 inches

∴ we get

BC = 6√3 inches


Related Questions

How has the introduction of the automobile and, subsequently, the highway begun to fundamentally change the way cities are designed and function?

Answers

Answer:

The introduction of the automobile and, subsequently, the highway begun to fundamentally change the way cities are designed and function because these technological advances have allowed citizens to travel greater distances in less time: before the automobile, the horse was used to get around, which travels distances at about 30 kilometers per hour on average, and needs to rest after long stretches. Today, the car travels at average speeds of about 60 kilometers per hour and does not need breaks, other than the logical routine mechanical conditioning.

Thus, cities have been able to begin to expand horizontally, enlarging their contours because people no longer necessarily need to live near their centers, thanks to the mobility facilities that exist today.

In the third sentence of the third paragraph, the phrase “however volatile” primarily serves to
A. suggest that a characteristic of witty people is more common than generally supposed

B. demonstrate wit by developing a metaphor introduced earlier in the passage

C. identify one of the weaknesses typically exhibited by imaginative minds

D. qualify a generalization by narrowing the set of people to which it applies

E. strengthen a claim by indicating that it applies even to exceptional cases

Answers

Answer:

E. strengthen a claim by indicating that it applies even to exceptional cases

Explanation:

Answer E

Correct. In this sentence, the author makes the claim that melancholy can make one’s imagination “torpid” (sluggish), and that lack of appropriate occasions can prevent the mind from coming up with “sallies and excursions” (clever remarks). He strengthens the claim by extending it to the most exceptional cases when he indicates that it applies to any mind “however volatile,” that is, even to those that are normally the liveliest and most wide-ranging.

The phrase "however volatile" primarily means to strengthen a claim by indicating that it applies even to exceptional cases.

Option E is correct.

What is the meaning of the word volatile?

The meaning of the word volatile is the ability of something to change abruptly or quickly without a prior prediction. However, its context usage may differ when used in a sentence.

The author claims in this statement that sadness may make one's imagination slow and that an absence of appropriate situations can prohibit the mind from emerging with "sallies and explorations".  

He supports the assertion by expanding it to the most extreme circumstances when he says it relates to any mind i.e. "however volatile," which implies to those that are generally the most lively and diverse.

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How war and instability in the first half of the 20th century gave way to the Cold War and transnationalism

Answers

Answer:

Total war and political instability in the first half of the 20th century gave way to a polarized state order during the Cold War and eventually to efforts at transnational union.

What does true dilemma mean

Answers

Answer:

Usage of dilemma a usually undesirable or unpleasant choice; a situation involving such a choice; broadly : predicament; a problem involving a difficult choice.

Write a summary of the following excerpt from “Why I Wrote 'The Yellow Wallpaper" by Charlotte Perkins
Gilman.
For many years I suffered from a severe and continuous nervous breakdown tending to melancholia--and beyond
During about the third year of this trouble I went, in devout faith and some faint stir of hope, to a noted specialist in
nervous diseases, the best known in the country. This wise man put me to bed and applied the rest cure, to which
a still-good physique responded so promptly that he concluded there was nothing much the matter with me, and
sent me home with solemn advice to "live as domestic a life as far as possible," to "have but two hours' intellectual
life a day," and "never to touch pen, brush, or pencil again" as long as I lived. This was in 1887

Answers

Answer:

Gilman felt very melancholy and was having a severe nervous breakdown. This mental state was maintained for three years, which made her look for a specialist in nervous diseases, who would examine her and help her to heal. The specialist stated that she did not have any serious illness, but that she needed to rest as long as she lived to be cured.

Explanation:

To make a summary of a text, you must rewrite the text in a reduced form, pointing out only the most important elements of the story. Therefore, anyone who reads the summary is able to understand the most important and relevant parts of the original text, even if they do not have many details of how it happened, since the details are presented only in the original text.

In a different experiment, NH 3gas and HCl gas are introduced into an empty 1.00 L vessel at 25°C. The initial partial pressure of each gas is 0.500 atm. Calculate the number of moles of solid NH 4 C that is present when equilibrium is established.

Answers

https://reimerapchem.weebly.com/uploads/9/5/2/8/9528809/ch15_frqs_2012.pdf

that’s the whole page of answer please don’t report me until you look it up and see it’s real

In the workplace, it is important to listen to others’ opinions, communicate effectively, and lend a helping hand when needed. These are
.

Answers


-teamwork skills
-leadership skills
-goal-setting skills

Answer:

teamwork skills

Explanation:

Identify the type of genre:

Sunlight had sneaked in through the window and was creeping toward the chair where my pants dangled. I was lying in
bed, rubbing some gunk from the corner of my eye. It must have collected while I was sleeping, and to just let it stay there
seemed inappropriate.

A.)Fiction
B.)Mystery
C.)Poetry
D.)Nonfiction

Answers

Answer:

A.) Fiction

Explanation:

The correct option is - A.) Fiction

A form of behavior therapy that is generally done in three steps as a way to reduce fear and anxiety is referred to as _________.
A.
aversion therapy
B.
systematic desensitization
C.
cognitive therapy
D.
rational-emotive behavior therapy

Answers

Answer:

C. cognitive therapy

Explanation:

A form of behavior therapy that is generally done in three steps as a way to reduce fear and anxiety is referred to as cognitive therapy .

The part of the behavior therapy that has been involved in dealing with fear and anxiety is systematic desensitization. Thus, option B is correct.

What is a behavior therapy?

The physiological therapy that has been used to treat the mental disorder such as fear, stress, anxiety, depression, and others is termed as the behavioral therapy.

The therapy can be performed in three steps, with the step that has been involved in the dealing with fear by exposure to the stimulus that leads to the reduction in the anxiety is termed as systematic desensitization. Thus, option B is correct.

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The writer is considering deleting the underlined portion of sentence 1 (reproduced below), adjusting the punctuation as needed.

Robots are no longer just the stuff of science fiction: increasingly intelligent and humanlike, they interact with people in new and surprising ways.

Should the writer keep or delete the underlined text?

A. Keep it, because it uses descriptive language to convey the writer’s perspective on advances in robotics and set up the topic of the passage.

B. Keep it, because it establishes an optimistic tone about robot intelligence that the writer will go on to undermine using irony.

C. Delete it, because it makes a claim about advances in technology that is not supported by evidence in the body of the passage.

D. Delete it, because it adds details that do not follow logically from the claim about robots that is made in the first part of the sentence.

E. Delete it, because it undermines the writer’s credibility by giving the impression that the writer is biased in favor of treating robots like humans.

Answers

Answer:

A. Keep it, because it uses descriptive language to convey the writer’s perspective on advances in robotics and set up the topic of the passage.

Explanation:

Answer A

Correct. The underlined text uses descriptive adjectives and adverbs to describe today’s robots and the way they interact with humans. This descriptive language helps to convey the writer’s perspective on advances in robotics and also sets up the topic of the passage, which is how humans and robots interact. Therefore, the writer should keep the underlined text.

The writer should keep it, because it uses descriptive language to convey the writer’s perspective on advances in robotics and set up the topic of the passage.

What are descriptive languages?

Descriptive language is known to be a method that is often employed in the act of speaking and writing that entails a vivid description of a place, thing or person.

Note that option A is correct because the  descriptive language by the writer helps to pass the the writer’s view point on advances in robotics and set up the topic of the passage.

Learn more about descriptive language from

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Why are animals in agriculture more vulnerable to outbreaks of disease than
animals in the wild?
A
Animals in captivity are generally not as healthy.
B
Farmers often do not take proper precautions to keep livestock safe.
Animals in agriculture are concentrated in a small space.
D
Animals in agriculture are deliberately bred.

B

Answers

Answer:

Traditional food systems such as bushmeat and backyard farming increase the risks of disease transmission from wild animals, while intensive farming amplifies the impact of the disease due to the high density, genetic proximity, increased immunodeficiency, and live transport of farmed animals.

In sentence 15 (reproduced below), the writer wants to maintain credibility with the audience by using unbiased language.

Children are incredibly gullible when it comes to robots, as a recent study demonstrates.

Which of the following versions of the underlined text best accomplishes this goal?

A. (as it is now)

B. often the victims of robotic deception

C. particularly susceptible to robotic influence

D. so naive that they believe whatever robots tell them

E. not clever enough to outsmart robots

Answers

Answer:

C. particularly susceptible to robotic influence

Explanation:

Answer C

Correct. This version of the underlined text allows the writer to maintain credibility with the audience by using unbiased language. The writer effectively replaces the biased language in the original text with neutral, objective language that still conveys the writer’s message about children’s susceptibility to robotic influence.

Answer:

C

Explanation:

got it correct on progress check MCQ

how have social categories, roles, and practices have changed since 1900?

Answers

Answer:There have been many different social hierarchies over the ages. In India there was the caste system which came from traditional Hindu beliefs. They believed that it was impossible to change your caste and you job and role in society was based off of your caste and Jati which was a section within the caste. In Sparta, the soldiers were at the top right under the generals and elders. This was because of the importance and value placed on the military and fighting men. At the beginning of the founding of Sparta, there was a slave revolt and the Spartans vowed it would never happen again, so they took their military to the next level so that the slaves could never revolt again.

Explanation:

An attitude that is considered strong is likely to _______

A. have a great effect on behavior
B. be easily subject to change
C. come to mind with difficulty
D. have been caused by peripheral persuasion

its a

Answers

Answer:

★  An attitude that is considered strong is likely to have a great effect on behavior

Explanation:

Hope you have a great day :)

An attitude that is considered strong is most likely to: A. have a great effect on behavior.

What is behavior?

A behavior simply refers to the unique characteristics or qualities that typically describes (depicts) how an individual conduct himself or herself, especially towards others and in certain circumstances.

In Psychology, a strong attitude which is exhibited by an individual is most likely to have a great effect on his or her behavior.

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Susan decided to apply for a private loan rather than a federal loan. She is considering a
10-year $7900 loan with an interest rate of 5.9%.

Answers

Answer:

Amount of loan pay = $14014.70 (Approx.)

Explanation:

Given:

Amount of loan taken = $7,900

Interest rate = 5.9% = 0.059

Number of year = 10

Find:

Amount of loan pay

Computation:

A = P[1+r]ⁿ

Amount of loan pay = Amount of loan taken[1+r]ⁿ

Amount of loan pay = 7,900[1+0.059]¹⁰

Amount of loan pay = 7,900[1.059]¹⁰

Amount of loan pay = $14014.70 (Approx.)

Did we invent math or did we discover it?
Have an Amazing Day!!

Answers

Answer: oh um i think we invented it but also we discovered it too because it the early days people had to count something so i think we discovered it and like made it better

_DD

Explanation:

have an awesome day

The United States emerged as the world's sole superpower at the end of the Cold War. TrueFalse

Answers

the answer is true

could i get brainiest?

An unintended consequence of eco-tourism is

an increased presence of multinational corporations in the area
increased reliance on sustainable energy sources
a population boom in the area
a reduction in airports as green policies are implemented
the establishments of additional national parks

Answers

Answer: An increased presence of multinational corporations in the area

An unintended consequence of eco-tourism is the increased presence of multinational corporations in the area.

What is eco-tourism  ?

While eco-tourism can provide economic benefits to the local community and promote conservation efforts, it can also attract large corporations that seek to profit from the natural resources and landscapes that draw tourists. These corporations may exploit the environment for their own gain, leading to ecological damage and loss of biodiversity.

In contrast, eco-tourism can also lead to an increased reliance on sustainable energy sources. As tourists and locals become more aware of the impacts of their activities on the environment, they may seek out alternative energy sources such as solar, wind, or hydro power. This can help reduce greenhouse gas emissions and promote a cleaner, healthier environment.

Eco-tourism may also lead to a population boom in the area. As more tourists visit and more jobs are created in the tourism industry, the local population may grow. This can put pressure on local resources and infrastructure, leading to overcrowding and environmental degradation.

While eco-tourism can lead to a reduction in airports as green policies are implemented, it may also lead to the establishment of additional national parks.

As tourists and locals alike recognize the importance of protecting natural areas, governments may designate more land as protected areas or national parks, leading to increased conservation efforts and the preservation of biodiversity.

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What controversial issues can develop with the use of risk assessment?

Answers

Answer:

I think a Lack of executive management support for the risk assessment. ...

Lack of established ground rules for conducting the risk assessment.

how to find
a balance between the new found freedom and responsibility behaviour as a grade 12 learner​

Answers

Answer:

It is enormously necessary for each individual to be able to find a balance between their freedoms and their responsibilities, in such a way that with their freedoms individuals do not affect the freedoms and rights of others. Thus, each person must exercise his freedom in a responsible way, and it is his responsibilities precisely those that limit the freedom of individuals. In this way, for example, work, family and academic responsibilities limit the freedoms of the individual, and put him in a framework of self-regulation along with the rest of the individuals, who are in the same situation.

The different ways to find a balance between the new found freedom and responsibility behavior as a grade 12 learner are;

DisciplineFocusTimeBe positiveHonesty

How to exhibit good behavior as a grade 12 learner?

The different ways by which a student can maintain balance in freedom and responsibility as a grade 12 leaner are;.

1) Discipline; It is advisable to develop a time table clearly showing time for studies and time for other fun activities. Kindly make sure to follow up on the time table.

2) Focus; Ensure you focus very well by having increased concentration brings better results in any activity.

3) Time; Allot time to everything. Going out with friends is as important as studies to maintain a good mental and emotional health.

4) Be positive; Staying positive will help you move forward and do all unfinished tasks and not make you feel stressed.

5) Harmony; Do not indulge in conflicts and arguments unnecessarily. Never fight with your siblings. This creates a situation of rivalry and tension.

Read more about behavior at; https://brainly.com/question/24518056

WILL GIVE BRAINLIEST!

the global energy policy aims to _______.

A.) reduce the cost of using fossil fuels
B.) minimize dependence on fossil fuels
C.) increase domestic consumption of fossil fuels
D.) shift focus to the use of fossil fuels
E.) shift focus from the use of sustainable energy sources

Answers

Answer:

reduce the cost of using fossil fuels

Answer:

B

Explanation:

 

minimize dependence on fossil fuels

why does victor frankenstein decide to make the monster so big? “eight feet high and proportionately large"

Answers

Answer:

Because it is easier to work at a larger scale

Explanation:

he 13th, 14th, and 15th Amendments can best be seen as effects of the Civil War because they
A
granted rights to African Americans.
B
increased hourly wages for all workers.
C
opened up free lands in the West for settlers.
D
granted women the right to vote.

Answers

Answer:

A

Explanation:

13th abolishes slavery

14th grants citizenship to all born or naturalized in the US; including former slaves

15th prohibits disenfranchising voters based on race, color, or previous condition of servitude

so the answer is A . granted rights to African Americans

Is force the same as power

Answers

Answer:

depends on what you mean by force and power, they both have multiple definitions

When it comes to music, pitch and frequency are considered to be the same thing.

Question 4 options:

True


False

Answers

True. The sensation of a frequency is commonly referred to as the pitch of a sound. A high pitch sound corresponds to a high frequency sound wave and a low pitch sound corresponds to a low frequency sound wave. ... Such sound waves form the basis of intervals in music.

Answer:False

Explanation:

The side of a cube is decreasing at a rate of 9 millimeters per minute.
At a certain instant, the side is 19 millimeters.
What is the rate of change of the volume of the cube at that instant (in cubic millimeters per minute)?

Answers

Answer:

the  rate of change of the volume of the cube is  -9747 cubic millimeters per minute

Explanation:

The computation of the rate of change of the volume of the cube is given below:

As we know that

The volume of the cube is x^3

Now differentiate it with time t

So

dV÷ dt = 3x^2 dx ÷ dt

Now put the values

= 3(19)^2  (-9)

= -9747 cubic millimeters per minute

hence, the  rate of change of the volume of the cube is  -9747 cubic millimeters per minute

why do people have a problem with people having sex

Answers

Answer:

it can be irasoponsible if there not safe

Explanation:

they could end up with an std or an inwanted baby

Answer:

Thats one of the top few mysteries we never know

Explanation:

1) Bermuda Triangle

2) Y..o.u.Tube recommendations  

3) Amelia Earheart missing

4) How the earth was made

5) Problem with people having sex

ECONOMICS

The graph shows the price of a good compared to the quantity demanded.

A graph titled Demand for Microwave Ovens has quantity demanded on the x-axis, from 0 to 50 in increments of 5, and price in dollars on the y-axis, from 0 to 70 in increments of 10. A line with negative slope contains 2 points. Point (D 1, P 1) is at (15, 50), and point (D 2, P 2) is at (20, 30).

This graph demonstrates how

the amount produced slightly changes with the price.
the amount produced greatly changes with the price.
the quantity demanded changes slightly with the price.
the quantity demanded changes greatly with the price.

Answers

Answer:

the quantity demanded changes slightly with the price.

Explanation:

As was shown in the chart title, we can see that the chart will present the demand for microwave oven and what is the relationship between this demand and the price of the product, since the amount of demand is in the x axis and the amount of the price is on the axis y. As we can see, the graph has a negative slope, which links the values of demand and price in an inversely proportional way. This shows that the amount of demand changes slightly with the price, and as the price increases, demand decreases.

From the graph, we can see that the quantity demanded changes slightly with the price.

What is demand and supply?

Demand and supply is the relationship in economics that shows the connection between the quantity of goods to be sold and the consumer's willingness to buy. This relationship is expressed in this graph.

From the graph, we can see that the quantity demanded changes slightly with the price.

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EASY 100 PTS! THIS IS A TWO PART PROBLEM NOT MULTIPLE CHOICE

The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.

a) Without doing any calculations, which event is more likely? Explain.
Event A: Randomly selecting a family from the United States that has 3 or more children.
Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.

b) The probability of one of the two events listed in part (a) can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated? Explain.

c) Calculate the probability of the event that you selected in part (b).

Answers

Answer:

a) Event B

b) Event B

c) 0.649733

Explanation:

The writer wants to reduce ambiguity in sentence 6 (reproduced below) by changing the placement of the underlined text, adjusting punctuation and capitalization as needed.

Perhaps not surprisingly, when they resemble humans or animals, people readily bond with robots.

Which of the following is the most logical placement for the underlined text?

A. Before “Perhaps”

B. After “people”

C. After “readily”

D. After “bond”

E. After “robots”

Answers

Answer:

E. After “robots”

Explanation:

Answer E

Correct. The underlined text is a modifying phrase that describes the word “robots.” By placing the phrase directly after the word it modifies, the writer can reduce ambiguity in the sentence. This choice makes it clear that the modifying phrase refers to robots, not people.

Answer:

E

Explanation:

After "robots" because it makes complete sense.

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