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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What values complete each statement? enter your answers in the boxes. (7√)2 = in simplest form. By the power of a power rule, (712)2=722. So, 712 must equal in radical form.
By the power rule, the radical expression become [tex](7^{\frac{1}{2} })^2 = 7^{\frac{2}{2} }[/tex]. Hence expressing [tex]7^{\frac{1}{2} }[/tex] as a radical is [tex]\sqrt{7}[/tex]
Power rule in indicesGiven the expression;
[tex](\sqrt{7} )^2[/tex]
This is expressed as;
[tex](\sqrt{7})^2 = (7^{\frac{1}{2} })^2\\(\sqrt{7})^2 = 7^{\frac{1}{2} \times 2}\\(\sqrt{7})^2=7^1\\(\sqrt{7})^2 =7[/tex]
By the power rule, the radical expression become [tex](7^{\frac{1}{2} })^2 = 7^{\frac{2}{2} }[/tex]. Hence expressing [tex]7^{\frac{1}{2} }[/tex] as a radical is [tex]\sqrt{7}[/tex]
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The sequence below represents marisa’s fine at the library for each day that she has an overdue book: $0. 50, $0. 65, $0. 80, $0. 95, $1. 10,. Which equation represents marisa’s library fine as a function of a book that is n days overdue?.
Answer:
C
Explanation:
The bureau of labor statistics has found that the base-year expenditures of the typical consumer break down as follows:.
Answer:
2. mention any five virtues that can be regarded as universal virtues. 3. manners are social behaviors that help us build and strengthen relationship
Explanation:
2. Mention any five virtues that can be regarded as universal virtues. 3. Manners are social behaviors that help us build and strengthen relationship
what is the kinetic energy of a 4 kg cart pushed at a rate of 0.5 m/s?
Answer:
2 N/newtons of force
Explanation:
2kg x 0.5m/s/s = 2 N/newtons of force
What is the most likely conclusion that can be drawn about how this table would look in december 2013?it would look the same because exchange rate tables do not change. It would look different because exchange rate tables change constantly. It would look different because exchange rate tables change once a month. It would look different because more countries will have started to use euros.
The conclusion which can be drawn with respect to the nature of an exchange-rate table in December 2013 is that: B. It would look different because exchange rate tables change constantly.
An exchange rate can be defined as a number that is used to denote or represent the financial value of a currency in comparison with another currency.
On a related note, the foreign exchange market is a market that is used for converting the currency of a particular country into the currency of another country. For example, the dollars (United States of America) can be converted into naira (Nigeria) in the foreign exchange market.
In the foreign exchange market, the exchange rate for various countries are typically shown or displayed by using the exchange-rate table, which changes constantly depending on the following factors:
InflationGross Domestic Product (GDP)Trade balanceMoney supplyIn conclusion, the conclusion which can be drawn with respect to the nature of an exchange-rate table in December 2013 is that, it would look different because exchange rate tables change constantly.
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Answer: B - It would look different because exchange rate tables change constantly.
A molecule that has oppositely charged ends is called ____.
Answer:
Polar molecule
Explanation:
Hope this helps!:)
Answer:
A molecule that has oppositely charged ends is called polar molecules.
Hope that helps..? x
which statement best defines the term civil liberties?
Match the words in bold to their meanings within the context of the excerpts.
Answer:
There are no words.
Explanation:
I cannot help you. Sorry.
How does the author persuade readers in this essay.
Answer: By use different words or phrases that help them understand it.
Explanation:
Choose the best spanish equivalent to the phrase. We should comb our hair.
The sentence We should comb our hair is equivalent to the sentence Nosotros debemos peinar nuestro cabello.
In this question we should translate a sentence in English into Spanish, in this case a literal manner based on Spanish grammar and conserving the grammatical construction of the English original is used for a better understanding of the reader.
ProcedureGrammatical structureWe know that the grammatical structure is described below:
Pronoun + auxiliary verb + verb + complement
TranslationBased on these rules, we have the following translation:
Nosotros debemos peinar nuestro cabello.
ConclusionIn a nutshell, the sentence We should comb our hair is equivalent to the sentence Nosotros debemos peinar nuestro cabello.
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Answer:
Debemos Peirnarnos
D on Edge
Explanation:
When you are about to make a turn in direction of a lighted green arrow, which of the following is true?.
Answer:
The green arrow pointing right or left allows you to make a protected turn; oncoming vehicles, bicycles, and pedestrians are stopped by a red light as long as the green arrow is lit.
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:
An increase in the price of a product would cause the following change:.
Answer:
increasnes of dependent
Explanation:
that means if the price of product cause scarcity and supply in this cause some people dependes on othier potential !!
What does this excerpt from the poem describe? a thought-provoking walk at night a ring of street lights surrounding a park a lunar eclipse a party held at midnight.
The excerpt given above from a poem can be said to be about a thought-provoking walk at night.
The speaker:
Makes reference to street lamps, lunar incantations, and how it is midnight. Talks about how their memory is being shaken. Makes reference to how they are passing objects. Deducing the meaningThe fact that it is midnight means that this is night and the reference to the passing objects means the speaker is walking. The speaker also talks about the impact this is having on their memory.
We can therefore conclude that this is about a thought-provoking walk at night.
Find out more about this poem at https://brainly.com/question/3468637.
Answer:
the answer is A)
Explanation:
Hailey (entering from the side door and depositing a full backpack on the table): hi, mom! i’ve got a ton of homework tonight. Mrs. Renault (stepping forward and offering a letter for inspection): oh, yeah? well, a letter came for you today. It says it’s from the encore summer institute. Hailey (taking the letter and opening it): i’ve been waiting for this (reading the letter, eyes growing wider). Oh, mom, i got in. Unbelievable. I can’t, i mean, this is amazing. Mrs. Renault (shaking her head and clutching her hands, jaw dropping): read it out loud. . . . Which line from the play contains dialogue that reveals emotion?.
There are different kinds of lines in the passage. The line from the play contains dialogue that reveals emotion is "Oh, Mom, I got in. Unbelievable. I can’t, I mean, this is amazing".
There are different ways to show emotions in a dialogue. This can be seen a lot through Facial Expressions such as when one's eyes go wide or a tugging of the ear.
Facial expressions are known to be the first reaction of the human body to another individuals dialogue. They often show how a certain characters feel about what they have heard or seen.
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Which food is at a temperature that allows bacteria to grow.
Answer :Bacteria grow most rapidly in the range of temperatures between 40 °F and 140 °F, doubling in number in as little as 20 minutes. This range of temperatures is often called the "Danger Zone." To learn more about the "Danger Zone" visit the Food Safety and Inspection Service fact sheet titled Danger Zone.
Explanation: brainliest???
In lines 1-2, the speaker describes "like" as a "semi-demi goddess" primarily to emphasize the universally held preference people have for being loved over being liked answer a: universally held preference people have for being loved over being liked a rapidly decreasing role of religion in most people’s day-to-day lives answer b: rapidly decreasing role of religion in most people’s day-to-day lives b surprisingly ancient origins of some seemingly modern social customs answer c: surprisingly ancient origins of some seemingly modern social customs c almost religious devotion people have to collecting "likes" on social media answer d: almost religious devotion people have to collecting "likes" on social media d nearly holy quality of true friendship for the people who experience it.
There are different kinds of lines in the Poem. In lines 1-2, the speaker describes "Like" as a "semi-demi goddess" primarily to emphasize that almost religious devotion people have to collecting "likes" on social media.
In the line, the Reasoning behind the statement is that the speaker shows forth "Like" as a "semi-demi goddess". He intended to talk about or show how focused people are on more into having a lot of "likes" on social media.When you look into the poem all through, you will see that there are a lot of references to how social media boast the morale of people to "like" different kinds of products and causes.
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X + y = 12 x - y = 10 what is the value of the x-determinant for the system shown?.
Which is the best inference from the author's statement that world war ii ""ended the great depression""? the best inference from the author's statement is that.
Answer:i think
Explanation:
Answer:
The increased production needed to support the war effort created additional jobs for those who were unemployed.
Explanation:
If you are the driver or owner of a vehicle which is in a crash that is your fault and you are not.
What percent of 2b is 0. 04b.
Answer:
i don't know
Explanation:
please mark me as the brainlist
Which of these does henry david thoreau criticize in resistance to civil government.
Answer:
In “Civil Disobedience” Thoreau not only calls for resistance to immoral and unjust government actions, he also criticizes the foundation of representatives democracy — majority rule, voting, and representation
Explanation:
hope it helps
Answer:
B: The Mexican-American War
Explanation:
Lydia graphed δlmn at the coordinates l (0, 0), m (2, 2), and n (2, −1). She thinks δlmn is a right triangle. Is lydia's assertion correct?.
No product results in -1, hence δlmn is NOT a right triangle showing that lydia's assertion is incorrect
Perpendicular linesIn order to determine whether triangle lmn is right-angled, we need to determine the slope of lm, ln, and mn first as shown:
For the slope of lm:
[tex]m_{lm} = \frac{2-0}{2-0}\\ m_{lm} =2/2\\m_{lm} =1[/tex]
For the slope of ln:
[tex]m_{ln} = \frac{-1-0}{2-0}\\m_{ln} =-1/2\\[/tex]
For the slope of mn:
[tex]m_{mn} = \frac{-1-2}{2-2}\\m_{ln} =-3/0 = \infty\\[/tex]
If any of the two lines is perpendicular, hence the triangle lmn is right-angled.To check, we will take the product of the slopes and see if it is equivalent to -1.Product of slope lm and ln
[tex]m_{lm}\times m_{ln} = 1 \times -1/2\\m_{lm}\times m_{ln} = -1/2[/tex]
Since no product results in -1, hence δlmn is NOT a right triangle showing that Lydia's assertion is incorrect
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Answer:
Question: Lydia graphed ΔLMN at the coordinates L (0, 0), M (2, 2), and N (2, −1). She thinks ΔLMN is a right triangle. Is Lydia's assertion correct?
Explanation:
I took the test and got the answer that I chose wrong but then it showed me what was actually the right answer.
Correct Choice: No; the slopes of segment LM and segment LN are not opposite reciprocals.
Banks that offer low interest rates to people with good credit brainly.
When Banks offer low interest rate to people with good credit rating, this can be said that these banks are making profits with very low risk
They are making profit with low risk in the sense that they are sure and confident that the customer is worthy enough to return the money and the profit in due time, and in return they give the borrowers low interest rate
Alternatively, If a lender does decide to approve someone with lower credit scores, they will often give them a higher interest rate to mitigate risk.
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Group which shows similar traits that is different from the other descendants of a common ancestor.
A group showing similar traits that are different from other descendants of a common ancestor is called CLADE. It is the most inclusive group within a phylogeny.
A clade is a group of organisms that represent all descendants of a shared common ancestor and such ancestor in a phylogeny.
The organisms in a clade may show similar phenotypic traits, which only can be shared by the member of the clade and its common ancestor.
The most inclusive (and similar) traits in a clade are not shared with any other organism found outside the clade.
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how many k is there 1 2 3 4 5 6 7 8
Answer: 0?
Explanation:
When prospero and miranda were first exiled, who helped them and how?.
It is very important to help people when they are in need. The person who helped Prospero and Miranda was Gonzalo.
Gonzalo is known to be a very old and honest lord in the passage. He helped Prospero and Miranda to escape only when Antonio has usurped Prospero's title.
In The Tempest, Gonzalo greatly helped Prospero and Miranda. This is because they were banished from Italy. He was known to have given them with food, water, magic books, etc. so that they can survive at sea.
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Which statement accurately describes the relationship between diet, exercise, and weight?.
Answer:
Explanation:
Successful weight loss requires a caloric deficit produced by a combination of diet and exercise.
which description of the council-manager form of city government is most accurate?
Answer:
The council hires an outside expert to make day-to-day decisions.
Explanation:
i know im late but here's the answer
here are the other answers
Completa en tu cuaderno la siguiente rutina de pensamiento sobre la importancia de la nutrición.
Una nutrición balanceada es fundamental para mantener un estado saludable. Dicha nutrición se puede lograr incorporando macronutrientes y micronutrientes en cantidades adecuadas.
La nutrición se refiere al acto de ingerir alimentos para mantenerse en un estado saludable tanto físico como mental (y emocional).
Una alimentación saludable comprende la ingesta de macronutrientes, es decir, proteínas, lípidos, y carbohidratos, como así también micronutrientes tales como vitaminas y minerales.
Cada uno de estos nutrientes debe ser ingerido en cantidades adecuadas de acuerdo a las características fisiológicas del individuo, es decir, de acuerdo a su peso, edad, altura, etc.
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