Which pair of equations can be used to verify the rectangular form, z = a + bi, and the polar form of a complex number are equivalent?

Answers

Answer 1

The equations which can be used to verify the rectangular form (z = a + bi) and the polar form of a complex number are equivalent is a = rcos(θ) and b = rsin(θ)

How to transform polar coordinates to rectangular coordinates?

In geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules is given by the following polar functions:

a = rcos(θ)    ....equation 1.

b = rsin(θ)     ....equation 2.

Where:

θ is the angle.r is the radius of a circle.

In conclusion, the pair of equations which can be used to verify the rectangular form (z = a + bi) and the polar form of a complex number are equivalent is:

a = rcos(θ) and b = rsin(θ).

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Related Questions

which best describes the role of the speaker? the speaker is describing a scene in the third person as a sentimental observer. the speaker is describing a scene in the third person as a critical observer. the speaker is describing a past personal experience in the first person. the speaker is describing a present personal experience in the first person.

Answers

The statement 'the speaker is describing a scene in the third person as a sentimental observer' best describes the role of the speaker.

What is the speaker?

The speaker is the person who is delivering a speech to transmit different words and sentences.

The speaker and listeners are fundamental for achieving a conversation about some issue in particular.

In conclusion, the statement 'the speaker is describing a scene in the third person as a sentimental observer' best describes the role of the speaker in the passage from Latin Deli: An Ars Poetica.

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Answer:

A) The speaker is describing a scene in the third person as a sentimental observer.

Explanation:

to help restore a beach, sand is being added to the beach at a rate of s(t) = 65 + 24 sin(0.3t) tons per hour, where t is measured in hours since 5:00 a.m. how many tons of sand are added to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m.?

Answers

Answer:

255.368 tons

Explanation:

Integrate the provided function s(t) = 65 + 24 sin(0.3t) over the interval 2 to 5 (since it is hours since 5:00AM).

There are 67.4 tones to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m.

To help restore the beach sand is being added to the beach at a rate of s(t) = 65+24sin(.3t) tons per hour, where t is measured in hours since 5:00 a.m.

What we have to determine?

We have to determine

How many tons of sand are added to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m.

According to the question

The beach sand is being added to the beach at a rate.

Where t is measured in hours since 5:00 a.m. The number of tons to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m. is calculated by substituting the t = 3 in the equation.

The complete length of a shape's boundary is referred to as the perimeter in geometry. The perimeter of a shape is obtained by adding up the length of all the sides and edges of the shape. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

Now, let's assume a geometric system of a square and a parallelogram having the same base and equivalent side of the square " a ". The respective two parallel sides of the Parallelogram will also be equal.

Therefore, the number of tons to the beach over the 3-hour period from 7:00 a.m. to 10:00 a.m. is 7:00 a.m. to 10:00 a.m.

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which point can be used to create a right triangle

Answers

Answer:

i don't know

Explanation:

send a pic or something

the men in this cartoon represent . the men in the cartoon are trying to . the title of the cartoon suggests that men .

Answers

Answer:

A. B. B.

Explanation:

What conflict does casca's explanation of the crowd's cries in the passage best illustrate? character vs. Society character vs. Character character vs. Nature character vs. Self

Answers

Answer:

It's A. Character v.s. Society

Explanation:

The passage is
"CASCA. Why, there was a crown offered him: and being

offered him, he put it by with the back of his hand,

thus; and then the people fell a-shouting.

BRUTUS. What was the second noise for?

CASCA. Why, for that too.

CASSIUS. They shouted thrice. What was the last cry for?

CASCA. Why, for that too.

BRUTUS. Was the crown offered him thrice?

CASCA. Ay, marry, was’t; and he put it by thrice, every

time gentler than other; and at every putting by,

mine honest neighbours shouted."

This demonstrates Character v.s. Society because Caesar is being shouted at by the crowd, who assumes and expects him to accept each crown. The society are the people watching him and shouting every time Caesar refuses the crown. Caesar has epilepsy, and therefore the shiny crown is triggering for him, and so he refuses it.

Caesar is doing the opposite of what society wants him to do

Answer: The Correct Answer is A.

Character vs. Society

Explanation:

I took the test coems in naga mafaka

Jason is painting a large circle on one wall of his new apartment. the largest distance across the circle will be 8 feet. approximately how many square feet of wall will the circle cover?

Answers

Answer:

50.27

Explanation:

"the largest distance across the circle will be 8 feet" means the diameter of the circle is 8

The formula for the area of a circle is [tex]\pi r^{2}[/tex]

The radius of the circle is 8/2 which is 4

[tex]4^{2} \pi[/tex]

16π which is about 50.27 in decimal form

- Kan Academy Advance

If you are given the two sides that are not the hypotenuse, which trigonometric function should you use?

Answers

U should use the tangent

which best summarizes the central idea in the excerpt? tan believes that language should be thought of as a communication tool. tan believes that some forms of english are more powerful than others. tan enjoys using language to manipulate the feelings and thoughts of readers. tan enjoys thinking about language and using different forms of english.

Answers

The statement that best summaries the idea in the expert is that Tan enjoys thinking about language and using different forms of english.

What is central idea ?

A central idea of a literature is also called the theme. It is the summary of the characters and the events that occurred within the literature work.

From the excerpts, Tan is fascinated about language and it's use and has been practicing its use since childhood.

Therefore, the statement that best summaries the idea in the expert is that Tan enjoys thinking about language and using different forms of english.

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The expert

Answer:

D

Explanation:

i just took the test on edge 22

if , what is the truncation error for s4? 0.1563 0.3125 4.6875 4.8438

Answers

To find the truncation error, it is important to make a subtraction from the actual and truncated values.

What is Truncation Error?

This refers to the type of error that occurs as a result of approximation when executing a sequence of steps.

Hence, to find the answer, it is important to look at the expressed quantity and find the difference between the actual value and the truncated values to find the answer.

Hence, we can see that your question is incomplete so I gave you a general overview of what a truncation error is and the likely answer to the question.

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there are some formatting errors in this works cited page. what errors need to be corrected? check all that apply.the title should be in bold. the citations should be double-spaced. the citation entries should be in alphabetical order. the web sources should be listed first. the indent on the last entry should be corrected.

Answers

The errors that is to be corrected in the works cited page are :

The citations should be double-spaced.  The citation entries should be in alphabetical order.The indent on the last entry should be corrected.

What is a work cited page?

A Works Cited page is known to be a page that has the formatted list of all references that a person has  cited in their articles or paper.

Note that one has to refences any outside source, that one has included in their work and as such using the above format is therefore advisable.

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Answer:

B C E

Explanation:

I got it right

Marleny is creating a game of chance for her family. she has 5 different colored marbles in a bag: blue, red, yellow, white, and black. she decided that blue is the winning color. if a player chooses any other color, they lose 2 points. how many points should the blue marble be worth for the game to be fair?

Answers

If the blue color is the winning color by the two points, the points that should the blue marble be worth for the game to be fair is 4. The correct option is A

What is expected random value?

Expected value is the average value achieve by a random variable. It is denoted by Ex.

To calculate the random variable, sum the product of the random variable.

Thus, the correct option is A, 4 points.

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Answer:

4

Explanation:

What is one effect of World Bank loans to developing countries?
A. enlarged dependence on foreign aid
B. improved climate for foreign investment
C. raised exchange rates for local currencies
D. increased government tax revenues

Answers

Answer:

B. improved climate for foreign investment

Explanation:

took the test

One effect of World Bank loans to developing countries is an enlarged dependence on foreign aid.

Hence, the correct answer is Option A.

When developing countries rely heavily on loans from the World Bank, they can become dependent on this external source of funding.

This can create a situation where a significant portion of the country's budget is allocated to debt repayment, which can hinder their ability to allocate resources towards other crucial sectors such as education, healthcare, and infrastructure development.

Additionally, the repayment of these loans often involves high-interest rates, which can further strain the country's financial resources.

As a result, developing countries may find it challenging to break free from the cycle of borrowing and dependence on foreign aid.

Hence the correct answer is A.

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which of these solutions has the highest concentration of h+?solution a, ph = 12.5solution b, ph = 7.0solution c, ph = 2.5

Answers

Answer:

for solution A

pH = 12.5

for solution B

pH = 7.0

for solution C

pH = 2.5

Explanation:

Answer:

The correct answer is option C, 2.5

Explanation:

Arteries are blood vessels that transport oxygen-rich blood and nutrients throughout the body. what level of organization is an artery?

Answers

The study of a living being is called biology.Artery is the vessel that transfers the oxygen-rich blood from the heart to the different organs.

What is an artery?

The artery is the vessel that transfers the oxygen-rich blood from the heart to the different organs.

The vessel is a cylindrical shape tube that carries the blood.

A group of cells is called tissue and the group of tissue is called organ. The vessel is organ level organization.

Hence,an artery is the vessel that transfers the oxygen-rich blood from the heart to the different organs

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Henry sells rings for $8 each. His expenses are $1. 50 per ring, plus $91 for supplies. How many rings does he need to sell for his revenue to equal his expenses?

Answers

he needs to sell 11 i did 91/8 and i got 11.4 but i round. i think that’s correct

which best describes the sequence of the elements in period 5 of the periodic table?

Answers

The sequence of the elements in period 5 of the periodic table include but not the least, the following elements:

Rubidium, Strontium, yttrium, zirconium and Niobium.

What is period 5 of the periodic table?

The period 5 of the periodic table is made up of 18 elements that are arranged in rows (periods) according to increase in atomic number.

Example of these elements include the

Rubidium,

Strontium,

yttrium,

zirconium and Niobium.

These elements are grouped under period 5 because they fill their 5s shells first, then their 4d, and 5p shells.

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50 points and brainlist
1. Follow the steps below to search for scholarships that fit your personal profile. (5 points)
Go to the College Board Scholarship Search site.
Click "Start." Then fill in your personal information and click "See Results."
Browse through the scholarships that the search returns.
List and briefly describe two scholarships that you might be interested in applying for. Make sure you include the following:
The name of the scholarship
The eligibility requirements
The application requirements
The amount of the award
A sentence or two explaining why you might (or might not) qualify

Answers

The two scholarships that I might be interested in applying for are:

Commonwealth scholarship. Fulbright-Nehru Doctoral Research Fellowships.

What is Scholarship?

A scholarship is known to be a kind financial aid that is said to be awarded to students that are interested in furthering their education.

Note that The two scholarships that I might be interested in applying for are Commonwealth scholarship and Fulbright-Nehru Doctoral Research Fellowships because they give full  scholarship and also sponsor family members.

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Salads are always a healthy alternative in a restaurant. please select the best answer from the choices provided. t f

Answers

Answer:True

Explanation:

right on edge

Answer:

False

Explanation:

As more resistors are added in parallel to a constant voltage source, the power supplied by the source

Answers

The power supplied by the source will increase

why is having an education important to you?

Answers

Answer:

the feeling of getting good grades after revising for so long knowing it payed off is the best feeling and also... money

If you're pulled over and a police officer asks for your license and registration, you should _____.

Answers

Give the officer the license and registration

The fantastic imagination of bosch is sometimes associated with ___________ art. a. surrealist b. romantic c. medieval d. minimalist please select the best answer from the choices provided a b c d

Answers

Hieronymus Bosch was a Dutch painter most notable for the early Netherlandish paintings. His imagination is mostly associated with Medieval art. Thus, option c is accurate.

Who was Hieronymus Bosch?

Hieronymus Bosch is most known for his paintings of religious concepts and narratives. He was a Medieval painter who created the bustling paintings in his compositions.

Bosch used the rapid painting technique that included the use of the underdrawing by the chalks and inherited the art of painting through his grandfather.

Therefore, Bosch is associated with option C. Medieval art.

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If nora's house has an assessed value of $76,320 and a real estate tax rate of $2.98 per $100, what will she pay in real estate tax?

Answers

Answer:

$2,274.34

$76,320 / $100 = $763.2

$763.2 * $2.98 = $2,274.336

= $2,274.34

Who is the intended audience for the teacher's speech? young students peers at the science fair teacher evaluators science professionals

Answers

Answer:

B Peers At the Science Fair.

Explanation:

Please correct me if I'm wrong. :)

a main goal of asian american activists in the 1960s was to end the internment of japanese americans. to end the war in vietnam. to close chinatowns in large cities. to preserve asian american culture.

Answers

Asian American activist with being the part of the movement in the 1960s has the main goal to preserve the culture of the Asian American.

What was the Asian American movement?

The Asian American movement was the sociopolitical movement that mediates the development of the changes in the United States. The movement reaches its heights in the period of 1960-1970s.

The main goal of the movement was to work for the Asian Americans that were affected with the issues of racism, social and political changes, as well as preserve Asian American culture. Thus, option D is correct.

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Answer:

D is the answer on edge

Explanation:

Mitosis results in two fill in the blank text field 1 daughter cells that have the same genetic makeup. meiosis results in four fill in the blank text field 2 cells that are all genetically different from each other.

Answers

Mitosis results in two diploid daughter cells that have the same genetic makeup.

The two types of cell division.

In Science, there are two (2) types of cell division and these include following:

MitosisMeiosis

Basically, mitosis results in the production of two diploid daughter cells that have the same genetic makeup. Also, meiosis results in four diploid cells that are all genetically different from each other.

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What mass of na2so4 is needed to prepare 350. ml of a solution having a sodium ion concentration of 0.125 m?

Answers

Answer:

6.2125 g

Explanation:

6.2125 g of Na₂SO₄ is needed to prepare 350 mL of a solution having a sodium ion concentration of  0.125 M.

Answer and Explanation:

6.2125 g of Na₂SO₄ is needed to prepare 350 mL of a solution.

You have to know that molarity is a measure of the concentration of a solute that is defined as the number of moles of solute that are dissolved in a certain volume.

number of moles of solute= 0.125 M×0.350 L=0.04375

142 g/mole is the molar mass of Na₂SO that's the mass of one mole of the compound and the amount of mass that contains 0.04375 moles. Mass= 0.04375 moles× 142 g/mole therefor mass= 6.2125 g.

So, 6.2125 g of Na₂SO₄ is needed to prepare 350 mL of a solution having a sodium ion of  0.125 M

Please let me know if I did anything wrong. I'm pretty sure I'm right but I cant always be sure.

read the excerpt from david foster wallace’s infinite jest. i am seated in an office, surrounded by heads and bodies. my posture is consciously congruent to the shape of my hard chair. this is a cold room in university administration, wood-walled, remington-hung, double-windowed against the november heat, insulated from administrative sounds by the reception area outside, at which uncle charles, mr. delint and i were lately received. i am in here. which is an explicit detail from this passage?

Answers

The line from the text that provides evidence that Hal is uncomfortable in this setting is "My posture is consciously congruent".

What does feeling uncomfortable implies?

When a person is uncomfortable, it implies that they are a little bit worried, and they are not relaxed at all.

Based on the excerpt, the he text that provides evidence that Hal is uncomfortable in this setting is "My posture is consciously congruent" as He is said to be not relaxed with the position he was in.

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How can cyber savvy campaigns overcome public apathy to deal with human rights violations

Answers

The cybersavvy campaign is successful in overcoming public apathy with the dealing with human rights violation by targeting a large audience.

What is cyber-savvy?

Cyber savvy is given as the cybersecurity or the security of the data on the internet to protect it from theft.

The awareness of cybersecurity is essential with the increase in cybercrimes. Cyber savvy campaigns are launched in order to make population aware about the cybersecurity.

The campaigns raise awareness with the development of the large audience targeted to deal with human rights violations.

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You launch a model rocket that has a mass of 2 kg. at a height of 400 m, it is traveling at 150 m/s. what is its kinetic energy at this point?

Answers

Answer:

22500

Explanation:

formula for kinetic energy is 1/2mv^2

mass=2kg

velocity=150m/s

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