The angle of the triangle ABC from smallest to largest are approximately 22°, 27° and 131°.
The sides of the triangle are as follows;
AB = 20
BC = 12
AC = 10
Let's find ∠A using cosine rule,
a² = b² + c² - 2bc cos A
cos A = b² + c² - a² / 2bc
Therefore,
cos A = 10² + 20² - 12² / 2 × 10 × 20
cos A = 100 + 400 - 144 / 400
cos A = 356 / 400
cos A = 0.89
A = cos⁻¹ 0.89
A = 27.1267531173
∠A ≈ 27°
Using sine rule let's find ∠B
12 / sin 27 = 10 / sin B
cross multiply
12 sin B = 10 sin 27
sin B = 10 sin 27 / 12
sin B = 10 × 0.45399049974 / 12
sin B = 4.5399049974 / 12
B = sin⁻¹ 0.37832541645
B = 22.2299936087
∠B = 22°
Using sum of triangle theorem let's find ∠C
∠C = 180 - 27 - 22
∠C = 131°
The angles from smallest to largest are approximately 22°, 27° and 131°.
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After reading this lesson, write a 125-word paragraph explaining your views about affirmative action.
It can be noted that affirmative action is important as it favors those that suffer from discrimination .
What is affirmative action?Affirmative action simply means the set of policies within an organization that seek to include a particular group based on their race.
From the information in the lesson, it can be noted that affirmative action is important in order to enhance equality in the country. It favors those that are discriminated against in the society.
It's vital in helping minorities secure employment opportunities and get admission into schools.
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Which scenario best describes a person who is likely to be vulnerable to trafficking because of drug or alcohol dependence?.
There is one christmas ballet that charms them all. But do you know who composed "the nutcracker"?.
There are different great composers. The composer of "the nutcracker" was Pyotr Tchaikovsky.
The Nutcracker, is known to be a Russian Shchelkunchik, a ballet often performed during Christmas. It was composed by Pyotr Tchaikovsky. This was known to be the last of his three ballets and its first performance was done on December 1892.
The Nutcracker is a ballet that centers around children and the beauty of childhood. It was also known to be the first experience of a professional dance performance.
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It should be noted that the composer of "the nutcracker is Pyotr Tchaikovsky.
According to this question, we are required the details about the nutcracker and the composer of it.
As a result of this, we can see that the Nutcracker is been composed by Pyotr Tchaikovsky and was one of his three ballets in 1892.Pyotr Tchaikovsky is been regarded as Russian Shchelkunchik, and this is been performed around Christmas time.
Therefore, the composer of "the nutcracker is Pyotr Tchaikovsky.
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Which of these is an example of a public interest group?.
Write chemical formulas for the compounds in each box.
Answer:
You said compounds in each box. I think we need a picture???
Which description represents this equation? 7x – 2 = 33.
Answer:
[tex]7x - 2 = 33 \\ 7x = 33 + 2 \\ 7x = 35 \\ x = 5[/tex]
I hope it helps you
Martha eats eggs every morning for breakfast. No. Yes.
Answer:
Yes
Explanation:
Hope it helps. Let me know.
Read the table of contents. The traveler’s guide to japan table of contents 1. Japan’s history: then and now…………. 3 2. Itineraries for must-see cities…………. 27 3. Getting around…………………………. 46 4. Basic greetings…………………………. 63 5. Traveling on a budget……………………89 in which chapter would a reader find the most helpful information about the different modes of transportation available in japan? chapter 2: itineraries for must-see cities chapter 3: getting around chapter 4: basic greetings chapter 5: traveling on a budget.
Answer:
Answer is Chapter 3.
Explanation:
The chapter that would be the most helpful to someone planning a trip to Japan is a chapter on the types of accommodations available.
What is the book about?The book on the traveler’s guide to Japan is known to be a book that talks about the planning of a trip to Japan and everything to know about it.
Note that by adding a chapter on the types of accommodations available in Japan, one can be able to known what kind of accommodations use if one is planning a trip to that country.
See full question
If added to "The Traveler’s Guide to Japan,” which chapter would be the most helpful to someone planning a trip to Japan?
a chapter on the Japanese educational system
a chapter on the governing bodies in Japan
a chapter on the cultural influences of China
a chapter on the types of accommodations available
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What difficulty did russia face in industrializing its economy?.
Answer:
political instability
Explanation:
Russia faced political instability during industrialization and financial problems too
Answer:
pressure from outside markets and typical international economic fluctuations.
Explanation:
Which of the following about persuasive speaking is not true.
Answer:
Please, provide with options.
Explanation:
Thank you!!
Convert each terminating decimal to a fraction in its simplest form.
What happens when the barrel goes over the waterfall?.
the barrel will crash down
George saves 18% of his total gross weekly earnings from his 2 part-time jobs. He earns $6. 25 per hour from one part-time job and $7. 50 per hour from the other part-time job. George works a total of 40 hours between the two jobs each week. What additional information is needed to determine the amount of his earnings he saves each week?.
Based on the information given, the additional information that is needed to determine the amount of his earnings will be the number of hours at each job.
From the information given, we are told that George earns $6. 25 per hour from one part-time job and $7. 50 per hour from the other part-time job and that he works a total of 40 hours between the two jobs each week.
Therefore, the additional information required will be the number of hours at each job. This will be vital in solving the question
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Which of the following functions is graphed below?.
Answer:
Where is the graph?
Explanation:
without it I cannot do it
When earth and the moon are separated by a distance of.
Answer:
3.84x10^8 meters probably
Read the writers original draft of this sentence from paragraph 4.
Answer:
Can you please post a picture for the sentence??
Which of the following best describes the meaning of "force"?.
Answer:no no no no no no
Explanation: yes yes yes yes yes
how many k is there 1 2 3 4 5 6 7 8
Answer: 0?
Explanation:
there are 80 students in a school. every student is taking
Answer:
then you are single it every one taken
Select the correct answer. Which is a feature of a roth ira? a. You must pay tax if you withdraw your earnings once you're 59. 5 years old. B. You can withdraw your earnings once you're 59. 5 years old but must pay a penalty. C. You can withdraw your earnings once you're 59. 5 years old without paying a penalty.
I think the answer is C
you can withdraw your earnings once you're 59. 5 years old without paying a penalty
A theory which repeatedly fails to confirm the expected predictions after extensive research:.
A theory which repeatedly fails to confirm the expected predictions after extensive research is probably incorrect.
Answer:
..Is probably incorrect.
Explanation:
If the predictions of a long-standing theory are found to be in disagreement with new experimental results, the theory may be discarded as a correct description of the phenomena.
Hope that helps..? x
What will you see on the next line? >>> round(7. 8).
Answer:
8.0 is a answer
your answer is 8.0
We should appreciate that the telephone here have been working.
We should appreciate that the telephone here have been working as
efficient in the past. The bolded part is the error in the sentence.
An adjective is used to describe a noun and usually has a suffix of -ly . In this
case, the noun is the telephone which is being described as being efficient
which should be efficiently instead.
Other examples of adjectives include hurriedly, hastily etc which is why 'as
efficient' is the most appropriate choice.
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Evaluate the following expression when x=-4 and y=4.
Answer: The answer is C. 1025/4
Explanation: x^6 - x
---------------
4y
Let x =-4 and y = 4
(-4)^6 - (-4)
---------------
4*4
4096 +4
------------------
16
4100/16
1025/4
What is the value of x in the equation ?.
Answer:
There is no equation provided
Explanation:
noiiiiiiiiiiinj8bd\e
Which of the following sentences contains the correct usage for virtuosity?.
Answer:
a. The virtuosity of the animals was expressed in their gait
Explanation:
Reed is drawing an accurate representation of the human body, head to toe, in the center of his paper. What type of balance, if any, is he creating?.
Answer:
formal
Explanation:
because the art is propotional so being formal or if not formale balance with equal
An accurate representation of the human body, head to toe, in the center of his paper is a formal type of balance.
What is human body?The physical component of the human organism, the human body is made up of extracellular and live cells and is divided into many tissues, organs, and systems. Numerous articles cover the human anatomy and physiology.
See human blood; cardiovascular system; digestive system; endocrine system; renal system; skin; human muscle system; neurological system; reproductive system; respiration; sensory reception; and skeletal system for in-depth explanations of certain tissues, organs, and systems.
See aging, growth, prenatal development, and human development for an explanation of how the body grows from infancy to old age. The human brain is also by far the most advanced in the animal kingdom, with the neocortex in particular.
Even though many other mammals, like chimpanzees and dolphins, are intelligent, none have attained the intellectual level of the human species.
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rank order the vendors, keeping the seasonal product team’s needs in mind.
Based on the information given, the ranking will be Vendor B, Vendor D, and Vendor C.
Vendor B must be the first vendor to be chosen because it is the dominant vendor across all the three vendors stated in the question and has better ratings when compared to other vendors.
Vendor D is the second choice of vendor since it outperforms Vendor C. Vendor C must be the third choice of vendor since, in case of flexibility and timely product shipment, vendor D outperforms it.
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A manufacturer of cell phone screens has found that 5 percent of all screens produced have defects. Let pd represent the population proportion of all cell phone screens with a screen defect, therefore pd=0. 5. For the sampling distribution of the sample proportion of cell phone screens from this manufacturer with a screen defect for sample size 400, μpˆd=0. 5. Which of the following is the best interpretation of μpˆd=0. 05 ?.
Answer:
For all samples of size 400 from this population, the mean of all resulting sample proportions of cell phone screens with a screen defect is 0.05.
Explanation: