The reference angle is the smallest angle between the terminal side and the x-axis.
[tex](1)\ \theta = 300^o[/tex]
300 degrees is in the 4th quadrant.
So, the reference angle is
[tex]\alpha = 360 - \theta[/tex]
[tex]\alpha = 360 - 300[/tex]
[tex]\alpha = 60^o[/tex]
Hence, the reference angle of 300 degrees is 60 degrees
[tex](2)\ \theta = 225^o[/tex]
225 degrees is in the 3rd quadrant.
So, the reference angle is
[tex]\alpha = \theta - 180[/tex]
[tex]\alpha = 225 - 180[/tex]
[tex]\alpha = 45^o[/tex]
Hence, the reference angle of 225 degrees is 45 degrees
[tex](3)\ \theta = 480^o[/tex]
480 degrees is in the 2nd quadrant (i.e. 480 - 360 = 120)
So, the reference angle is
[tex]\alpha = 180 - \theta[/tex]
[tex]\alpha = 180 - 120[/tex]
[tex]\alpha = 60^o[/tex]
Hence, the reference angle of 480 degrees is 60 degrees
[tex](2)\ \theta = -210^o[/tex]
-210 degrees is in the 2nd quadrant (i.e. 360 - 210 = 150)
So, the reference angle is
[tex]\alpha = 180 - \theta[/tex]
[tex]\alpha = 180 - 150[/tex]
[tex]\alpha = 30^o[/tex]
Hence, the reference angle of -210 degrees is 30 degrees
Read more about reference angles at:
https://brainly.com/question/9601871
Answer:
i
Explanation:
the second one is -1
Based on the diagram, which equation can be simplified to derive the cosine sum identity?.
Answer: C
Explanation: Trust
Answer: C
Explanation:
See attachments
Which image do you think best illustrates the tragedy of the fire? why? give at least three reasons for your choice in your response.
9-13 and 17
Pictures 9-13 actually show dead people, who died trying to escape the fire. These were people who had lives, families, etc. who never knew that an ordinary work day would turn tragic. The sheer number of people seen truly shows how horrific of an event this was, with their bodies being broken and lifeless.
17 shows the aftermath of the fire. What was once a busy, bustling workplace full of life was now lonely and deserted, with the ashes of equipment, clothing, and crushed memories. The scorched-black room and messy area really give off that "neglected and forgotten" feel. Even the officer contributes to the empty feel of the room, as he's the only one seen there, all alone.
Pictures 9 through 13 show actual deceased victims who perished while attempting to flee the fire. These were folks with families, lives, and other responsibilities who had no idea that a routine workday would end tragically.
What is Fire?The observable result of the combustion process, a unique kind of chemical reaction, is fire. It happens when some kind of fuel and atmospheric oxygen are combined. The end result of the chemical reaction is entirely distinct from the initial component.
The heat from the heat causes some of the cellulose material that makes up the wood to break down when the wood reaches about 300 degrees Fahrenheit (150 degrees Celsius).
The molecules of the complex disintegrate at a temperature of roughly 500 degrees F (260 degrees C) for wood, at which point the atoms recombine with oxygen to generate water, carbon dioxide, and other products. They burn, in other terms.
To know more about Fire follow the link.
https://brainly.com/question/16499424
#SPJ5
Read the sentence. The snow and ice that arrived last night elated kids and adults alike when they awoke to a winter wonderland. What is the simple subject of the sentence?.
Read the instructions found on the next page.
Answer:
One question! What page is it? I'll be willing to help! ;)
Explanation:
Which graph represents a reflection of f(x) = 6(0. 5)x across the x-axis?.
Answer: f(x)=6(0.5)^x
Which of the following forces exists between objects even in the absence of direct physical contact?.
Answer: Field Force
Explanation:
Which of these is not one of the standard placeholders on the handout master?.
The option that is not one of the standard placeholders on the handout master is;
D: Author
The missing options are;
a. Date
b. Header
c. Page Number
d. Author
The Handout Master tab is the tab in Microsoft power point that is used to edit the appearance of presentation handouts which includes the headers, footers, layout and the background. Now, any changes that are made to the handout master will definitely appear on all the pages of the printed copy of the handout. Looking at the options, the only one that doesn't appear as a standard placeholder in handout master is Author.Read more about handout master at; https://brainly.com/question/12327785
Finding dead insects or mouse droppings in the kitchen indicates which of the following.
Finding dead insects or mouse droppings in the kitchen is an indication of pest infestation.
Pest infestation is the occurrence of one or more pest species in an area or location where their numbers and impact are currently or potentially at intolerable levels. It can also be defined as a sudden increase in the population numbers of a pest species in a given area.
Finding dead insects or mouse droppings in the kitchen is an indication of pest infestation.
Find out more on pest infestation at: https://brainly.com/question/25251548
A factor tree is shown for 1,225. What is the simplest form of ?.
Answer:
35
Explanation:
sorry if it's wrong
Raymond bought a car for $40, 000. He took a $20,000 loan from a bank at an interest rate of 15% per year for a 3-year period. What is the total amount (interest and loan) that he would have to pay the bank at the end of 3 years?.
Answer:
20000*(1+15%)³=30417.5
Explanation:
The number $40000 is irrelevant. Don't be disturbed!
This is a typical compound interest question. Use the compound interest formula: S=p(1+i)ⁿ
S for sum, p for principal balance, i for interest rate, n for the number of years or times
A 5 kg object near earth's surface is released from rest such that it falls a distance of 10 m. After the object falls 10 m, it has a speed of 12 m/s. Which of the following correctly identifies whether the object-earth system is open or closed and describes the net external force?.
Answer:
Explanation:
D)The system is open, and the net external force is nonzero.
How does the stranger show that he is more aggressive.
Answer:
Tone, behavior, attitude are some ways that people show aggression.
i'm not sure if this is exactly what you're asking for
Explanation:
If a recessive allele helps an organism reproduce but a dominant allele hinders reproduction, which will become more prominent over time?.
It is expected the recessive allele becomes more prominent over time.
In general, nature favors traits that help organisms survive and reproduce. This occurs through a process known as natural selection that helps the population to evolve to have favorable traits.
This evolution occurs externally as organisms change their physical traits or phenotype, but also at a genetic level.
This implies that even if a trait is genetically dominant if the trait does not favor survival and reproduction, this trait will slowly disappear or reduce over generations.
Based on this, the recessive allele will become more prominent because this trait favors reproduction, while the dominant allele will become less prominent.
Learn more about allele in: https://brainly.com/question/147366
A spring with a spring constant of 150 n/m has an equilibrium length of 8. 0 cm. What is the change in spring potential energy when the spring is stretched from a length of 11. 0 cm to 14. 0 cm?.
When the spring is stretched to 11.0 cm - 8.0 cm = 3.0 cm = 0.030 m away from equilibrium, it stores
1/2 (150 N/m) (0.030 m)² = 0.0675 J
of potential energy, while stretching it to 14.0 cm - 8.0 cm = 6.0 cm = 0.060 m from equilibrium stores
1/2 (150 N/m) (0.060 m)² = 0.27 J
Then the change in potential energy is 0.27 J - 0.0675 J = 0.2025 J ≈ 0.21 J
Per company policy tools with a purchase price greater than 1000 are capitalized.
The correct entry to record a tool purchase of $500 is Debt tools expense $500, Credit cash $500
From the complete question, the purchase price is said to be greater than $1000
The above can be recorded using the entries:
Debt tools Credit cash.For each entry, the amount is half the tool purchase (i.e. $1000).
Hence, the correct entry is Debt tools expense $500, Credit cash $500
Read more about credit entries at:
https://brainly.com/question/14626962
A 1. 00-g sample of a metal x (that is known to form x2+ ions) was added to 0. 100 l of 0. 500 m h2so4. After all the metal had reacted, the remaining acid required 0. 0334 l of 0. 500 m naoh solution for neutralization. Calculate the molar mass of the metal and identify the element.
Answer:
7
Explanation:
reason why is beacuse bannanas
Who is cleopatra in the caesars commercial with the mannings.
The cleopatra in the caesars commercial with the mannings is Halle Maria Berry.
Halle Maria Berry can be described as an influential actress as well as a producer. She was was known as one of the American's Miss USA pageant .
In the caesars commercial, the cleopatra is Halle Maria Berry because according to Archie, who said i met Caesar and Cleopatra at Miami, he was referred to Halle Maria.
We can conclude that Halle Maria Berry serves as cleopatra in the caesars commercial with the mannings.
Learn more about cleopatra at:
https://brainly.com/question/26028111
David is a sophomore in high school and is studying for his united states history exam, in which he must recall all of the battles in the american revolutionary war. At first, he begins by just trying to group all of the facts associated with each battle into his memory. When he realizes he is forgetting some battles, he begins repeatedly associating the events that occurred in each battle with the place where the battle occurred. He finds he remembers the battles more readily this way, but he is still having a hard time remembering all the facts associated with each battle. Because he continues to think this is the best way to approach learning, he continues to study in this manner. After several bad grades, he realizes that his studying technique is not working, so he asks a friend who is doing better at remembering everything how she is studying. She said she is making up stories about each battle and how each battle is connected with other battles. David tries this method and finds it was much more effective for him.
People are often influenced by different things that affect their behavior. The concepts that relates to this scenario is explained below.
Metacognition is known to be the act of thinking about one's own thought and learning. David first use a method to remember the battles in the American Revolutionary war, and later on uses an alternative method. He asked a friend when he saw his errors. This shows that David understood his thought process and is trying too control it.
Method of loci is known as a strategy of memory enhancement that uses visualizations to boast e recall of information. David uses this to link the events that happened in each battle with the place where the battle took place.
Deep processing is known as a step taken in processing spectrum of mental recall via examining of language used. David's friend uses stories for each battle and connects it with other battles. David then uses deep processing via examining the battles too.
Rehearsal often uses repetition to remember things. David always practicing boast his remembrance of the battles in the American Revolutionary War.
Elaboration is used to enhance total remembrance. By making up stories about each battle and relates it to other battles, it aid David in learning.
Chunking is known as the act of taking different pieces of information and placing them into larger units. David friends sees each battle as a single unit and then they often link up the different events together.
Mental set is known as the ability of the brain to stick with the most familiar solution to a problem and ignore others. David uses the friends method and apply as it aid remembrance more.
See the other part of the question
Explain how each of the following concepts relates to this scenario.
Metacognition
Method of loci
Deep processing
Rehearsal
Elaboration
Chunking
Mental set
Learn more about these scenarios above from
https://brainly.com/question/16017972
I just opened a savings account at the first federal bank.
Answer:
same. I do that alone until school ends then I erase this app.
Explanation:
lol
Which of the following describes the process of creolization?.
Answer:
The term creolization describes the process of acculturation in which Amerindian, European, and African traditions and customs have blended with each other over a prolonged period to create new cultures in the New World. ... Since the colonial period, the term has been applied to many aspects of culture.
The process of acculturation known as “Creolization” refers to how Amerindian, European, and African customs and practices have come together over time to form new cultures in the New World. The phrase has been used to refer to a variety of cultural elements since the colonial era.
What best define about process of Creolization?According to sociologist Robin Cohen, Creolization happens when people choose certain components from an arriving or inherited culture.
Give these new meanings that are distinct from the ones they had in their original civilizations, and then imaginatively combine these to produce new types that replace the earlier forms.
Therefore, Haiti Creole, which was developed by enslaved Africans utilizing vocabulary and syntax from French and African languages, is an illustration of Creolization.
Learn more about Creolization here:
https://brainly.com/question/19279141
#SPJ5
A scale factor of one-third is used to make a reduction of the original triangle. Original triangle reduced triangle height 12 base 24 what is the base of the reduced triangle? 4 8 9 21.
Answer:
B - 8
Explanation:
The linear scale factor is used to reduce or enhance the size of the original measures. The base of the reduced triangle is 8. Thus, option b is correct.
What is a linear scale factor?The linear scale factor is the reduction or the enlargement of the size like the width, height, base, length, etc. of the geometrical shape.
Given,
The height of the original triangle = 12
The base of the original triangle = 24
The linear scale factor reduces the original size by 1/3 factor.
The 1/3 factor of the base will be = 24 ÷ 3 = 8
Therefore, option b. 8 is the base of the reduced triangle.
Learn more about scale factors here:
https://brainly.com/question/7138032
#SPJ2
I found. My homework. My textbook under my bed.
[tex] \huge \text{congrats}[/tex]
In the chairman's white paper, "mission command" (2012), "_____ equips decision-makers at all levels with the insight and foresight to make effective decisions, to manage associated risks, and to consider second and subsequent order effects. ".
In the chairman's white paper, "mission command" (2012), it is required understanding equips decision-makers at all levels. It involves making effective decisions and managing associated risks.
M.E. Dempsey, who is Chairman of the Joint Chiefs of Staff, published the Mission Command White Paper in 2012.
This publication indicates that mission command represents the main method by which joint forces should exercise command and control.
In this paper, Dempsey states that mission command can be considered as a constant effort to understand and then direct effectively the achievements of intent.
Learn more about Mission Command White Paper here:
https://brainly.com/question/4908469
The writer wants to start the third paragraph (sentences 10-14) with a sentence that captures what the different claims and evidence in the paragraph are meant to show. Which of the following sentences should the writer add immediately before sentence 10 to achieve this goal?.
Transition words are those words or phrases which are used to link ideas across paragraphs or inside a given sentence and this helps the reader to understand that the ideas in one paragraph are further explained.
Some examples of transition words includes:
HoweverButThereforeWithout much adoFurthermore, etcWith this in mind, if a person wants to properly capture the different claims and evidence which a paragraph is meant to show, then this would be to make use of transition words and also give relevant information.
Please note that your question is incomplete so I gave you a general overview so that you could get a better understanding of the concept.
Read more about transition words here:
https://brainly.com/question/1101400
How many grams of lead product would theoretically be produced between 17. 0 g potassium iodide, ki, and 25. 0 g of lead (ii) nitrate, pb(no3)2?.
The number of grams of lead product that would theoretically be produced from the given reaction is; Mass of lead product = 23.6 g
Potassium iodide reacting with Lead(II) Nitrate would yield the balanced equation;
2KI + Pb(NO₃)₂ = 2KNO₃ + PbI₂
2moles : 1 mole = 2 moles : 1 mole
From online tables;
Molar mass of KI = 166 g/mol
Molar mass of Pb(NO₃)₂ = 331.2 g/mol
We are given;
Mass of KI = 17 g
Mass of Pb(NO₃)₂ = 25 g
Thus;
Number of moles of PbI₂ yielded in order to find the limiting reactant will be;
no of moles of PbI₂ from KI = (17g/166 g/mol) × (1 mole of PbI₂/2 mol of KI)
no of moles of PbI₂ from KI = 0.0512 mols
Similarly;
no of moles of PbI₂ from Pb(NO₃)₂ = (25g/331.2 g/mol) × (1 mole of PbI₂/1 mol of Pb(NO₃)₂)
no of moles of PbI₂ from Pb(NO₃)₂ = 0.0755 moles
We can see that KI produced the least amount of moles. Thus;
Mass = 0.0512 * molar mass of PbI₂
From tables, molar mass of PbI₂ = 461 g/mol
Thus;
Mass of lead product = 461 * 0.0512
Mass of lead product = 23.6 g
Read more about theoretical yield at; https://brainly.com/question/21091465
Which power does the president have as chief executive brainly.
Answer:
implement policy, supervise the executive branch of government
Jurisdiction of office
Officeholder
Explanation:
About 512,000,000 results (0.83 seconds)
The formal powers and duties of the president are outlined in Article II of the Constitution. As Chief Executive the president can: implement policy, supervise the executive branch of government, prepare executive budget for submission to congress, and appoint and remove executive officials.
Jurisdiction of office: United States
Officeholder: Barack Obama; George Washington...
Answer:
implement policy,supervise the executive branch of government
What is a related organism from a previous generation?
Answer:
Ancestor
Explanation:
Based on this excerpt, it can be inferred that the war provides the author with his first flying experience. The author once felt pride and optimism about the war. The us soldiers are trained in hand-to-hand combat. The author has a begrudging respect for the vietcong.
Based on this excerpt, it can be inferred that: B) the author once felt pride and optimism about the war.
The excerpt is about a young soldier who was excited about entering the U.S military helicopter with the South Vietnamese battalion. He stressed his pride and excitement at being a part of this mission.
He also believed that they will be triumphant in the battle and eventually make their country a better place. So, option B is correct.
Here is the excerpt:
Read this excerpt from "Not a Dove, But No Longer a Hawk."
I remember distinctly the thrill of climbing aboard a U.S. Army helicopter in the cool of the morning and taking off across the rice fields with a South Vietnamese battalion for a day’s jousting with the Vietcong guerillas. I was proud of the young American pilots sitting at the controls in the cockpit and I was grateful for the opportunity to witness this adventure and to report it. We are fighting now, I used to think, and some day we will triumph and this will be a better country.
Learn more about inferences here:
https://brainly.com/question/1835395
Answer:
b
Explanation:
In casting experiments performed using a certain alloy.
An 85-foot wire is tied from the top of a utility pole to the top of the building as shown below. Find d, the distance from the pole to the building.
The distance from the pole to the building is 79 feet
The relationship between the utility pole and the 85-foot wire, can be adjusted to fit in the description of a right-angled triangle.
So, the distance (d) can be calculated using the following sine function.
[tex]\sin(68) = \frac{d}{85}[/tex]
Multiply both sides of the equation by 85
[tex]85 \times \sin(68) = \frac{d}{85} \times 85[/tex]
Cancel out the common factors
[tex]85 \times \sin(68) = d[/tex]
Evaluate sin(68)
[tex]85 \times 0.9272 = d[/tex]
Evaluate the product
[tex]78.812 = d[/tex]
Approximate
[tex]79= d[/tex]
Rewrite the equation
[tex]d = 79[/tex]
Hence, the distance from the pole to the building is 79 feet
Read more about right-angled triangle at:
https://brainly.com/question/19950002