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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How are the nervous systems of a flatworm and a fish different?
A flatworm has a simple nervous system with two nerve cords running down both of its sides. It also has two simple brains, and two eyespots that help sense light. While a fish's nervous system is comprised of a central brain and a spinal cord along with many branching nerves, which allows them to sense things around them.
Explanation:
A flatworm has a very mild nervous system with pair nerve cords moving down each side. It has two single brains called ganglia, which are pure packages of nerves. It has two eyespots that support it sense light. A flatworm has a gastrovascular hole with one opening.
Fish have extremely advanced nervous systems organized around a brain. Fish brains have rare clearly visible parts. Back to the brain is the spinal cord, which is the deep dorsal nerve cord that identifies chordates.
What is one technique to help a person get proper sleep.
Which two statements best show how the scientific revolution changed.
Drag each label to the correct location on the map. Match the western nations to their colonies. United states france great britain the netherlands.
Answer:
The United States has the Phillipines.
France had the south to china portion.
Britain has India
The Netherlands had Indonesia
Explanation:
1. United States of America: the Philippines was its colony in Southeast Asia.
2. France: the south of China was its colony in Southeast Asia.
3. Great Britain: Burma and the Malay Peninsula were its colonies in Southeast Asia.
4. The Netherlands: the Indonesian archipelago was its colony in Southeast Asia.
Imperialism can be defined as a policy or ideology (advocacy) that sought to extend a country's power, dominion, authority and influence over another country, either through the use of military force, diplomacy, or colonization (direct territorial acquisition).
This ultimately implies that, imperialism is an ideology or policy that is typically used to impose and extend a country's power, dominion, authority and influence over another country.
Note: The map in the image attached below shows the various colonies owned by different Western nations (imperialists) in 1910.
During the 19th century (1910), the following Western nations (imperialists) had these colonies in Southeast Asia:
United States of America: the Philippines was its colony in Southeast Asia.France: the south of China was its colony in Southeast Asia and they included Annam, Cambodia, Tongkin, Saigon, and Laos.Great Britain: Burma and the Malay Peninsula were its colonies in Southeast Asia.The Netherlands: the Indonesian archipelago was its colony in Southeast Asia.Read more on colonies here: https://brainly.com/question/13310941
The golden touch narrator.
Describe a strange dream that you have seen recently.
When describing a strange dream that you had, there are several ways to go about it and this is one:
First introduce yourself into the story. Talk about how you fell asleep. Slowly guide the text into the dream. Talk about the different scenes in the dream and end it on the scene that felt the strangest to you. Explain why this was strange.Writing an essay can be academic dishonesty so I will walk you through how to write one yourself.
Steps in the essayIntroducing yourself does not mean saying your name. You can simply use the pronoun, "I." Talk about what you were doing, for instance, walking home, or watching television.
Then talk about how you fell asleep - could be in your bed, on a seat on the bus, or even on a sitting room couch.
Then begin to talk about how the dream started. Talk about how the dream began and then progressed till you get to the strange events.
Talk about these strange events and end on the strangest; then explain why this scene was strange if it isn't apparent.
ConclusionIt is best to either use little detail or a lot of detail, avoid the middle ground.
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A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0. 1785 kilograms per cubic meter. How many kilograms of helium does the balloon contain, rounded to the nearest tenth of a kilogram?.
[tex]density = mass \: volume 1592 = mass 0- 1785 :. \\ \\ \\ mass : 1592 × 0.1785 284- 172 284 . 2 kq ". \\ \\ \\ mass \: of \: helium \: is 284.2
[tex]density=mass\:volume 1592 = mass 0-1785 :. \\ \\ \\ mass : 1592× 0.1785 284- 172 284 . 2 kq ". \\ \\ \\ mass \: of \: helium \: is 284.2[/tex]
A town has a population of 5000 and grows at 3. 5% every year. To the nearest tenth of a year, how long will it be until the population will reach 7300?.
At a local corner store, the cost of a bag of chips at the corner store is $1. 30, and the cost of a banana is $1. 40. What would it cost to get 4 bags of chips and 5 bananas? what would it cost to get xx bags of chips and yy bananas?.
Answer: $12.20
Explanation:
4(1.30)+5(1.40)=
5.20+7.00=
$12.20
The cost to get x bag of chips and y bananas is:
x(1.30)+y(1.40)
How was the american revolution related to the age of enlightenment? brainly.
Explanation:
The enlightenment beliefs that influenced the Americans Revolution were natural rights, the social contract and the right to overthrow the government if the social contract was violated
How long does the earth take to complete its rotation brainly.
Answer:
since the earth completes on rotation in about 24 hours.
write a function called which_vowels_present that takes a single string parameter. complete the function to return a list of strings indicating which vowels (a, e, i, o, and u) are present in the provided string. the case of the vowels in the original string doesn't matter, but they should be lowercase when returned as part of the list. the order of the vowels in the list doesn't matter. for example, if the provided string was 'all good people.', your code could return ['a', 'e', 'o']. it could also return ['e', 'o', 'a']. one way to implement this would be to use the filter pattern starting with the list of all vowels.
The function which_vowels_present will be implement using the Kotlin Programming language, also, a single for-loop is okay for the solution to this problem
//Here is the Algorithm for the problem
fun which_vowels_present(parameter: String) {
for (c in parameter.toCharArray()) {
when (c) {
'a', 'e', 'i', 'o', 'u' -> print("$c")
}
}
}
Furthermore, to help us solve the problem, we took advantage of kotlin's in build string function that can convert a string array to Character array
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how many k is there 1 2 3 4 5 6 7 8
Answer: 0?
Explanation:
Which system of equations shows a solution of (–3. 5, 4)?.
Answer:
Quadratic equation
Explanation:
For example
[tex] {x} ^{2} + x - 2 = 0[/tex]
[tex]x^{2} + 2x - 1x - 2 = 0[/tex]
[tex]x(x + 2) - 1( x + 2)[/tex]
[tex](x - 1)(x + 2)[/tex]
[tex]x = 1.x = - 2[/tex]
Click on the box to indicate the correct order of procedures to deal with a heat related illness. First: second: third: fourth: fifth:.
Answer:
5.Fan the victims body
1.get the victims out of the heat
3remove the sweat-saturated clothing
4cover the victim with cool damp sheets
2-call EMS
Answer:
First:
Get the victim out of the heat.
Second:
Call EMS.
Third:
Remove sweat-saturated clothing.
Fourth:
Cover the victim's body with cool, damp sheets.
Fifth:
Fan the victim's body.
When diana got off the train there was a woman waiting for her.
It is very important to use the right words in any sentence When Diana got off train there was a woman waiting for her on the platform.
In the A case of mistaken identity, we can see that as Diana got off the train, there was a woman who was waiting for her on the platform. The woman was known to have ask her if she was Diana.
In the story, Diana was suppose to be picked up by her aunt, but she was too busy and sent someone to pick her at the station.
The woman did not recognize her, as dressed very formally, with a small briefcase. Diana was very tired as a result of the journey and she happily got into the car.
See full question below
When Diana got off train there was a woman waiting for her A)below B)to C)on D)it the platform
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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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Which of the following is accurate concerning nonverbal communication.
The statement that is accurate regarding nonverbal communication is: Touching the head of another person is regarded as offensive in some cultures.
What is Nonverbal Communication?Nonverbal Communication can be referred to as the mode of passing across messages to a receiver using mediums such as facial expressions, gestures, posture, body language, or eye contact.
Most cultures uses nonverbal communication, however, touching another person's head is considered offensive in some cultures.
Thus, the statement that is accurate regarding nonverbal communication is: Touching the head of another person is regarded as offensive in some cultures.
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The valence electrons in an atom of phosphorus in the ground state are all found in.
Answer:
Valence electrons in an atom of phosphorus in the ground state are found in 3rd shell.
Explanation:
Phosphorus has an atomic number of 15. Its electronic configuration is 2, 8, 5. This configuration implies that, phosphorus electrons are distributed in three different shells and the number of electrons in the outermost shell, which is the third shell, is 5. The ground state refers to a state, where the atoms of phosphorus are not excited. Electrons move away from their ground states when they are excited.
This chart is an example of a demand curve. Demand schedule. Supply curve. Supply schedule.
There are several types of charts that can be graphed; however the given chart is an example of a (d) supply schedule
From the chart, we can see that the chart shows the amount of goods supplied when a certain demand is made, at a given price.
Take for instance,
When the price of goods is $5 and the demand is 50, the quantity supplied is 30
This is an illustration of a supply schedule
Hence, the chart is an example of a (d) supply schedule
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Answer:
supply schedule
Explanation:
edge
In the third and fourth paragraphs, the author discusses a case in order to.
In the third and fourth paragraphs. The author discusses a case in order to illustrate the limits of scientific claims and show why scientists stopped believing in superstitions.
A lot of people do believe in superstitions. Superstitious beliefs are known to help improve a positive mental attitude.
A lot of people believe that it can make people to make irrational decisions, example trusting in the importance of good luck and destiny instead of making right and good decision.
The author discusses a scenario to show why scientist often uses in order do not believe in the use of superstitions in research.
See full question below
In the third and fourth paragraphs, the author discusses a case in order to
A
demonstrate the confidence of scientists
B
illustrate the limits of scientific claims
show why scientists stopped believing in superstitions
D
argue that people want to trust scientific thinking
E
present an example of a scientific investigation
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Which are national us holidays? check all that apply.
There are different types of National holidays. The options that are National US holidays are New Year’s Day and Veterans Day
There are lots of national holidays in America. The United States is known to have has established using law, 12 permanent federal holidays.
They are; New Year's Day, Martin Luther King Jr.'s Birthday, Inauguration Day, George Washington's Birthday, Memorial Day, and Veterans Day, etc.
See full question below
Which are national us holidays? check all that apply.
A.) New Year’s Day
B.) Valentine’s Day
C.) Veterans Day
D.) Arbor Day
E.) Mothers Day
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The big five personality dimensions include all of the following except.
optimism
Explanation:
optimism is not one of the Big five
The big five personality dimensions include neuroticism, extroversion, and conscientiousness but optimism is not included within the five personality dimensions.
What do you mean by Personality dimension?The personality dimension may be characterized as the next step in the evolution of temperament and personality theory. It significantly constructs a framework for mutual understanding between people. The big five personality dimensions are as follows:
Extraversion/Introversion.Sensing/Intuition.Thinking/Feeling.Judging/Perceiving. Conscientiousness.In various research, personality dimensions are classified traits into five broad dimensions: openness, conscientiousness, extraversion, agreeableness, and neuroticism.
Therefore, the big five personality dimensions include neuroticism, extroversion, and conscientiousness but optimism is not included within the five personality dimensions.
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Which of the following factors contributed most to the bolivarian revolutionary movement?.
Answer:
The rise of a distinct Latin American ethnic identity.
Explanation:
Most of the revolutionary movements were national movements as well. The French Revolution and the American Civil War were an incentive for the Bolivian people to fight for freedom from the occupiers. The nineteenth century was characterized on a global scale by strengthening nationalism and the awakening of national consciousness. Bolivia was also no exception. Following the pattern of other fighters for their own identity, the people of Bolivia sought liberation from the occupiers through the revolution.
An environmental scientist studies _______. A. The interactions of matter b. The anatomical structure of earth’s life forms c. Methods to preserve natural resources d. Earth’s weather patterns.
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:
What development made exploration to africa easier for europeans.
Answer:
discover of snow on mount Kilimanjaro
Suppose a 10 ml beaker and a 100 ml beaker are both filled with water, and that the water in both beakers is the same temperature. Which statement below about the water in the two beakers is true?.
Telegraphic speech is most closely associated with the ____ stage of laguage.
Answer:
Two-word
Explanation:
Telegraphic speech is most closely associated with the two word stage of laguage.
It should be noted that telegraphic speech is most closely associated with the two stage of language.
Telegraphic speech , can be regarded as the speech which is been made two-word stage of language acquisition in children.
Therefore, Telegraphic speech is most closely associated with the two stage of language.
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when an act or law is repealed it can be best described as
Answer:
When an act or law is repealed it can be best described as an end of the law or act.
Explanation:
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carryonlearing
An end to that act or law. A new law or act could take its place