A vector makes an angle, θ, with the horizontal. The horizontal and vertical components of the vector will be equal in magnitude if θ is.

Answers

Answer 1

A vector has horizontal and vertical components.

The value of [tex]\mathbf{\theta }[/tex] is 45 degrees, when the horizontal and vertical components are equal

Let the magnitude of the vector be H.

So, the horizontal (h) and the vertical components (v) of the vector would be:

[tex]\mathbf{v = Hcos(\theta)}[/tex] --- vertical

[tex]\mathbf{h = Hsin(\theta)}[/tex]

Equate both expressions

[tex]\mathbf{h = v}[/tex]

Substitute values for h and v

[tex]\mathbf{Hcos(\theta) = Hsin(\theta)}[/tex]

Divide both sides by H

[tex]\mathbf{cos(\theta) = sin(\theta)}[/tex]

When [tex]\mathbf{cos(\theta) = sin(\alpha)}[/tex], then

[tex]\mathbf{\theta + \alpha = 90^o}[/tex]

So, we have:

[tex]\mathbf{\theta + \theta = 90^o}[/tex]

[tex]\mathbf{2\theta = 90^o}[/tex]

Divide both sides by 2

[tex]\mathbf{\theta = 45^o}[/tex]

Hence, the value of [tex]\mathbf{\theta }[/tex] is 45 degrees

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Related Questions

Which graph represents the function f(x)=−|x−3|+1 ?.

Answers

Answer: (-1,1) and (3,-3)

Which child is most likely to receive treatment for her or his psychological challenge?.

Answers

There are different form of disorder that use to affect people. The child that is most likely to receive treatment for her or his psychological challenge is Diana, who has bipolar disorder symptoms.

Bipolar disorder is simply described  as a mental health condition that involves being in high and low moods.

Highs are known to be times of mania or hypomania, while lows are times of depression.

The changes in mood can be mixed as a person may feel elated and depressed at the same time.

See full question below

Which child is most likely to receive treatment for her or his psychological challenge?

-Diana, who has bipolar disorder symptoms

-Anna, who has a mild case of dyslexia

-William, who suffers from binge eating disorder

-Stavros, who suffers from ADHD

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When a normal fault occurs, rocks will ___________. Question 13 options: push together not move fly up in the air spread out.

Answers

Answer:

A normal fault is cause by a plates pulling away from each other, resulting in one side slipping down.

Explanation:

When you make a dns query, where does your computer first check to find an ip address to name mapping?.

Answers

Answer:

in its local DNS cache

Explanation:

This cache stores this information that our computer has recently saved.

Max is a brand-new father who can’t wait to document his twins’ achievements in their baby books. From earliest to latest, what order should max place these motor development milestones in his twins’ baby books?.

Answers

There are different stages of motor learning. They are the cognitive phase, the associative phase, and

the autonomous phase. From earliest to latest, the order that Max should place these motor development milestones in his twins’ baby books are:

Rolling over Sitting without support Crawling on hands and knees Standing well alone

Babies often start to develop motor skills from the center of the body outward and from head to tail.

They often learn to hold their head and neck before they learn to move their arms.

They also learn to move their arms in different directions before they learn to manipulate their fingers.

Motor development can also be known to have in seven stages throughout an individual's life.

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Sierra left $4. 50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before the tip? Enter your answer in the box.

Answers

Answer:

Total amount is: $25

Explanation:

A chamber contains equal molar amounts of c₂h₂, ch₄, and h₂. If the total chamber pressure is 5. 00 atm, then the partial pressure of c₂h₂ is:.

Answers

Answer:

I don't know answer what

The partial pressure of c₂h₂ is25 atm.

What is partial pressure?

When more than one gas is present in a container, each gas exerts pressure, which is known as partial pressure. Its partial pressure refers to the pressure of any gas inside the container.

Partial pressures can be calculated in one of two ways:

To determine the individual pressure of each gas in a mixture, use PV = nRT. Determine the proportion of pressure from the total pressure that may be assigned to each individual gas by using the mole fraction of each gas.

When there is a combination of two or more gases in a given volume, the pressure created by each individual gas in the mixture is expressed using the phrase partial pressure.

The partial pressures of the individual gases make up the total pressure of the gas combination. P1 + P2 + P3 = Ptot = Pi

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Assume the blood pressures of 10 people were measured before and after sleeping for the night. What is the corresponding critical t-value for a one-tailed, paired-samples t test with an alpha level of 0. 05 (5%). Please report your answer as an absolute value and include three decimal places.

Answers

Using a t-distribution table or a t-critical value calculator, the critical value for a one- tailed t - test for the sample given at 0.05 α-level would be 1.833

The critical value for a one-tailed, paired sample t test can be defined thus :

[tex]t_{critical} = t_{α, df-1} [/tex]

Sample size, n = 10

The degree of freedom , df for a 1 - tailed t-test is calculated using the relation :

df = n - 1

Hence,

Degree of freedom, df = n - 1 = 10 - 1 = 9

Using a Tcritical value calculator or a t - distribution table :

[tex]t_{critical} = t_{0.05, 9} = 1.833 [/tex]

Therefore, the critical value for a one - tailed test at 0 05 level of confidence would be 1.833.

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In which situations have you participated in a group discussion at school? Check any that apply. To plan an event to solve a problem to debate an issue to complete a project to present a theory or solution to discuss a book or other reading.

Answers

Answer:

all of them are correct

Explanation:

Edge 2021

These situations have a person participated in a group discussion at school are:

to plan an event.to solve a problem.to debate an issue.to present a theory or solution.

What is group?

The term group refers to the two or more people are the involved on the particular activity. A group is an involved of the person are the based on the informal group. It was the people are to enjoy the person to the another person company.

A group discussion or focused group is usually the format of an informal discussion group. It was the plan at the school event. It was to resolve the issue and the problem. The discussion of the specific issue. There was either a theory or a solution.

As a result, the situations have a person participated in a group discussion at school.

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The concept of having shared understanding in public speaking is most closely related to which dimension of source credibility?.

Answers

The concept of having shared understanding in public speaking is most closely related to this dimension of source credibility: common ground

Public speaking can be defined as an act of talking or speaking formally to an audience, in order to explain an idea, project, and product.

Source credibility is highly dependent on the level of delivery of a speaker who is speaking to an audience.

In public speaking, common ground is a dimension of source credibility which refers to the concept of having shared understanding between a public speaker and the audience.

In conclusion, a common ground exists when there is shared understanding between a public speaker and the audience.

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A hemisphere of radius 8 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maximum volume.

Answers

The dimensions of the cylinder that has the maximum volume can be

found be finding the maximum value of the volume function.

[tex]\mathrm{The \ \underline{height \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8}{\sqrt{3} }}}[/tex][tex]\mathrm{The \ \underline{radius \ of \ the \ cylinder \ of \ maximum \ volume \ is \ \dfrac{8 \cdot \sqrt{6} }{3}}}[/tex]

Reasons:

The known parameter of the hemisphere are;

The radius of the hemisphere = 8

Required;

The radius and height of the maximum volume of the inscribed cylinder.

Solution:

Let h represent the height of the cylinder, and let r represent the radius of

the cylinder, we have;

r² + h² = 8²

Therefore;

r² = 8² - h² = 64 - h²

= 64 - h²

The volume of the cylinder, V = π·r²·h = π·(64 - h²)·h

V(h) = π·(64·h - h³)

At the maximum volume, we have;

[tex]\dfrac{dV(h)}{dh} = \dfrac{d}{dh} \left(\pi \cdot \left(64 \cdot h - h^3 \right) \right) = \pi \cdot \left(64 - 3 \cdot h^2 \right) = 0[/tex]

64 - 3·h² = 0

64 = 3·h²

[tex]h =\sqrt{\dfrac{64}{3} } = \dfrac{8}{\sqrt{3} }[/tex]

[tex]\underline{\mathrm{The \ height \ of \ the \ cylinder, \ h} = \dfrac{8}{\sqrt{3} }}[/tex]

[tex]r^2 = 64 - \dfrac{64}{3} = \dfrac{128}{3}[/tex]

[tex]r =\sqrt{\dfrac{128}{3}} = \dfrac{8 \cdot \sqrt{6} }{3}[/tex]

[tex]\underline{\mathrm{The \ radius \ of \ the \ cylinder, \ } r = \dfrac{8 \cdot \sqrt{6} }{3}}[/tex]

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A probe orbiting Venus exerts a gravitational force of 2. 58 × 103 N on Venus. Venus has a mass of 4. 87 × 1024 kg. The mass of the probe is 655 kilograms. The gravitational constant is 6. 67 × 10-11 N*m2/kg2. To three significant digits, the probe is × 106 m from the center of Venus.

Answers

Answer:

9.08

Explanation:

To solve for the distance between the probe and  the center of Venus, use the formula:

[tex]\mathrm{F = \frac{G\: m1 \:m2}{r^2}}[/tex]

 

Plugin the values:

G =

[tex]6.67\times10^{-11} \mathrm{\frac{m3}{kg\: s2}}[/tex]

[tex]\mathrm{F} =2.58 \times 10^3\mathrm{N}[/tex]

[tex]\mathrm{m1 = 4.87 \times 10^{24}\:kg}[/tex]

[tex]\mathrm{m2 = 655\: kg}[/tex]

Hence:

[tex]\mathrm{F = \frac{G\: m1 \:m2}{r^2}}[/tex]

[tex]2.58 \times 10^{23} = 6.67 \times 10^{-11} (4.87 \times 10^{24})[/tex]

[tex]\frac{(655)}{r^2}[/tex]

[tex]\mathrm{r = 9.08 \times 10^6 \:km}[/tex]

A radioactive substance has a continuous decay rate of 0. 064 per minute. How many grams of a 150 gram sample will remain radioactive after 45 minutes? round the answer to the nearest tenth of a gram, and do not include the unit in your answer.

Answers

Answer:

147.1

Explanation:

150 - 0.064(45)

150 - 2.88 = 147.12

Like strain theory, control theory explains deviance as a natural occurrence. Please select the best answer from the choices provided T F.

Answers

Answer:

True

Explanation:

Answer:

True

Explanation:

As on Edu 2022

Your class has been discussing how they spend their money essay.

Answers

yes that makes good sense good sir and i understand what you are talking about

Which statements correctly characterize asoka's reign? select all correct answers.

Answers

Answer:

Roads, hospitals, and monuments were built.

Buddhism spread through missionary monks.

Explanation:

Asoka was the founder of the Moorish dynasty, and extended the kingdom to the western half of northern India. His endeavor, accompanied by fearsome bloodshed, provoked profound spiritual upheavals at Asoka, after which he embraced Buddhism, which had appeared in Magadha two centuries earlier. Since then, the cruel Asoka has become known as the godly Asoka. In the words of the emperor himself, since then his sound was no longer booming, but the voice of dharma.

During his rule, he pursued an official policy of non-violence. The unnecessary killing and mutilation of animals has been abandoned, such as hunting for hunting and stamping.

Asoka also showed mercy to the captives, allowing them a day of freedom each year, and providing ordinary citizens with free education at universities. He treated subjects as equals regardless of religion, politics or caste and made free hospitals for both humans and animals. Asoka defined the main principles of nonviolence, tolerance of sects and opinions, obedience to parents, respect for teachers and priests, human treatment of servants (slavery did not even exist in India at that time) and generosity to all. These reforms are described by Asoka's edicts.

Before writing a composition it is best to blank it first.

Answers

Answer: Before you start writing, remind yourself of the basic composition composition. Almost all articles have three parts: introduction, body of information and conclusion. The five-paragraph text is a common repetition of this and includes an introductory paragraph, three body paragraphs, and a conclusion paragraph.

Explanation:

Can someone solve this please fasttt

Answers

you’re not gonna pass

¿usted 1 of 1 en aquella tienda elegante los viernes? (trabajar).

Answers

Answer:

Huh? What question is that?

Explanation:

Farhacker

Imsureeeeeeee123

An astronaut takes what he measures to be a 10-min nap in a space station orbiting earth at 8000 m/s. A signal is sent from the station to earth at the instant he falls asleep, and a second signal is sent to earth the instant he wakes.

Answers

Answer:

The astronaut was asleep longer on earth then he was in space

Explanation:

calculate the boring stuff (speed, time) and it shows that he was asleep for a greater value in space

Next year baldwin plans to include an additional performance bonus of 0. 25% in its compensation plan. This incentive will be provided in addition to the annual raise, if productivity goals are reached. Assuming the goals are reached, how much will baldwin pay its employees per hour?.

Answers

Answer:

Total raise = 5% + 0.25% = 5.25%

Present wages = $28.15

Baldwin will pay = $28.15 (1.0525) = $29.63

Explanation:

Which basic task does the federal bureaucracy have?.

Answers

basically they work out the finer details and set up guidelines for congress passed bills

Answer:

to help rebuild foreign nations after a natural disaster

Explanation:

Predict the missing component of each reaction. ? 2 upper N a upper B r right arrow 2 upper N a upper C l plus upper B r subscript 2. HCl Cl2 Na HBr right arrow upper M g upper O plus upper H subscript 2. ? CHO C2H2 CO2 CO2 2H2O C 2H2O.

Answers

The given reactions are; First reaction is a displacement reaction, Second

reaction is the production of MgO and hydrogen gas.

1. The missing component is Cl₂.

2. The missing component is H₂O.

Reasons:

1. The given reaction can be presented as follows;

? + 2NaBr [tex]\longrightarrow[/tex] 2NaCl + Br₂

The above reaction has both 2 Na and 2 Br on the side of the reactants, and 2 Na, 2 Br, and 2 Cl on the side of the products, therefore

The missing component is Cl₂

2. The possible given reaction is presented as follows;

Mg + ? HBr [tex]\longrightarrow[/tex] MgO + H₂

The elements in the reactant side of the reaction are one Mg and unknown element (?)

The elements in the product side are one Mg one O and  two H

Therefore;

The the missing elements in the reactants are, 2 H and 1 O, which gives;

The missing component = H₂O

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Answer:

1- B

2- C

Explanation:

Peep the attachment, give the other guy props for giving me the idea

Mr. Thom makes $25,900/year salary as a document processor. He has made the following chart in order to divide his weekly paycheck into his accounts: Expense type Account Weekly deposits Essential (Fixed) 1st Checking account $219 Essential (Variable) 1st Checking account $115 Non-essential 2nd Checking account $40 Other (Unexpected) Emergency savings account $20 Other (Predictable) Education investment fund $10 Other (Predictable) Retirement investment fund $40 Other (Predictable) Emergency savings account $15 Total paycheck $498 Unfortunately, he has made a mistake in adding the numbers and has not allocated all of the paycheck. If he deposits the difference into the two emergency savings accounts, how much total per week can he then put towards emergency savings? a. $40 b. $60 c. $74 d. $55.

Answers

Answer:

C. 74

Explanation:

Answer:

Explanation:

C 74

Which theme is revealed by orwell’s use of situational irony in this excerpt? leaders should not be trusted. Ideals can become mocked in practice. Naïve citizens allow corrupt governments. Equality applies to all social classes.

Answers

Answer:

C

Explanation:

Edge 2021

The theme revealed by Orwell’s use of situational irony in the excerpt is naïve citizens allow corrupt governments. Hence option c is correct.

What is irony?

Irony is defined  as the comparison of what appears to be true on the surface with what is true or what is expected; this is a crucial rhetorical and literary tactic. The use of a mocking tone by the character is verbal irony and shows sarcasm.

The other animals were kept under the tyranny of the pigs enough to allow them to maybe realize that they had been duped by the false principles of the uprising. In the end, Napoleon uses the animals' gullibility to reinforce his dictatorship, in which the pigs can live comfortably at the expense of the other creatures.

Thus, the theme revealed by Orwell’s use of situational irony in the excerpt is naïve citizens allow corrupt governments. Hence option c is correct.

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Aria paid $75,000 for her house. Its property value increased by 2. 2% per year. When aria sold her house after eleven years, how much was it worth, to the nearest hundred dollars? a. $133,700 b. $95,400 c. $95,300 d. $93,100.

Answers

Answer:

$95,300. C

Explanation:

Answer:

answer is C

Explanation:

Imagine that you are directing a production of Hamlet. Whom would you cast to play the role of Hamlet? an actor or actress who can deliver a diverse perspective of the character an actor or actress who does not stray from the script an actor or actress who mixes modern and classical interpretation of the plot an actor or actress who remains true to the setting and era in all forms.

Answers

The person that I will cast to play the role of Hamlet will be an actor or actress who remains true to the setting and era in all forms.

Hamlet is a story about how the ghost of a king told his son Hamlet to avenge his death and therefore kill the new king whim was his brother.

If I was directing a production of Hamlet, the person that I will cast to play the role of Hamlet will be an actor or actress who remains true to the setting and era in all forms.

It's important to get someone who stays true to the setting. This is vital in order to convey the theme of the story.

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Answer:

you can choose any answers theyre all right

Explanation:

My reflection in arts grade 7.

Answers

Answer:

This is an incorrect question. Please specifiy the term "reflection" and "art 7" thank you...

Explanation:

For which pairs of functions is (f circle g) (x)?.

Answers

Answer:

Option B is correct. The required composite function where f(g(x)) is x is f (x) = StartFraction 2 Over x EndFraction and g (x) = StartFraction 2 Over x EndFraction

Explanation:

What did it mean when foreign diplomats "kowtowed" to the Chinese emperor or his representatives? It meant that diplomats relinquished all their rights in the Forbidden City. It meant that diplomats recognized the superiority of the Chinese emperor. It meant that foreign missionaries could no longer visit China. It meant that diplomats had full trading rights equal to those of China.

Answers

Kowtowing is simply known to be the a form of paying respect. kowtowed to the Chinese emperor or his representatives simply meant that meant that diplomats recognized the superiority of the Chinese emperor.

Kowtow, is commonly said pronounced as kotow.

It is very common to traditional China as a form of respect or reverence. It is known as an act of supplication made by an inferior to his superior through the kneeling and knocking of head to the floor.

It is a traditional forms of reverence. In many scenarios, the standing bow has displaced the kowtow.

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Answer:

B edge 2021

Explanation:

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