Evaluate the expression under the given conditions. cos(2theta); sin(theta) = − 5 13 , theta in quadrant iii

Answers

Answer 1

The value of the given trigonometric expression which is cos 2θ under the 3rd quadrant is; -119/169

What is the value of the trigoneometric ratio?

We are given the trigonometric ratio;

sin θ = -⁵/₁₃

From trigonometric identities, we know that;

cos 2θ = 1 - 2sin²θ

Thus;

cos 2θ = 1 - 2(-⁵/₁₃)²

cos 2θ = 1 - 2(25/169)

cos 2θ = 119/169

since cos θ is negative in the third quadrant, then we have;l

cos 2θ = -119/169

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Related Questions

Find the mass of a football player who weighs 1250 n of force and has an acceleration of 1.5 m/s2

Answers

Mass=force/acceleration
1250/1.5=833.3

Module 11 angle relationships in parallel lines and triangles answer key

Answers

An example of Module 11 angle relationships in parallel lines and triangles question is give in the image attached. The answer (Image attached) to the question is  ∠8 and ∠1 .

What are the examples of Angles of Parallel Lines?

Angles can be said to be directly opposite each other and they are known as  vertical angles which are said to be congruent.

Alternate interior angles and alternate exterior angles are known to be two other pairs of corresponding angles that are also said to be congruent.

The  angle ∠8 and ∠1  are pair of angles are alternate exterior angles because they are pair of angles on the outer side of a specific two parallel lines but are found to be on the opposite side of the transversal as shown in the image.

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In a joint family couples are encouraged to produce more children.justify

Answers

Answer:

because the grand parents who are old and there mind also old.

Explanation:

the previous people think that children is a source of money. But they don't know it will be the lack of money for their education, shopping, and their needs

A shoe box width a dimension of 8 inches by 10 inches by 9 inches. find its surface area.

Answers

I think it’s 8*10*9 will be the surface area

Suppose the government in this economy decides to decrease government purchases by $250 billion. the decrease in government purchases will lead to a decrease in income, generating an initial change in consumption equal to . this decreases income yet again, causing a second change in consumption equal to . the total change in demand resulting from the initial change in government spending is .

Answers

When the government decides to decrease government purchases by $250 billion, this will lead to a $175 billion decrease in income.

How to calculate the decrease in income?

From the information, the government decides to decrease government purchases by $250 billion. The decrease in income will be:

= $250 × 0.7

= $175 billion

This decrease in income yet again will cause a second change in consumption equal to:

= $175 × 0.7

= $122.5 billion

The total change in demand resulting from the initial change in government spending will be:

= $250 × (1/30%)

= $250 × 3.33

= $833 billion

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Peter is a star runner on the track team in the league championship meet peter records a time that w

Answers

Petter starts a runner on the track team in the league so that he can get more athletic

advantage of series combination of cell​

Answers

Explanation:

Advantages of series combination:

Cells connected in series give a greater resultant voltage than individual cells.

Voltage increases if the number of cells increases.

Series circuits do not overheat easily.

Hope it helpz~

In the poem "o captain! my captain!" by walt whitman, the central idea of this poem centers around the death of a hero. which line from the poem best illustrates this central idea?

Answers

Where can I find the poem? To answer your question.

The gulf stream the world's fastest ocean current flows along the western side of this water body

Answers

The Gulf stream, which is the world's fastest ocean current flows along the western side of this water body called the North Atlantic Ocean.

What is the Atlantic Ocean?

The Atlantic Ocean can be defined as one of the largest water body (ocean) in the world with an area of approximately 106,460,000 square kilometers. Also, it has been measured by oceanographers and scientists as covering approximately 20% of Earth's surface while it also cover about 29% of its water surface area.

Based on scientific information, the Gulf stream, which is the world's fastest ocean current flows along the western side of this water body called the North Atlantic Ocean and this is where the  Atlantic Ocean connects to the Arctic Ocean in the North.

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A set of stairs leading to the entrance of a building is designed in the shape of an isosceles trapezoid with the longer base at the bottom of the stairs and the shorter base at the top. If the bottom of the stairs is 21 feet wide and the top is 14 feet wide, find the width of the stairs halfway to the top

Answers

Answer:

17.5

Explanation:

have to find the midsegment of the rhombus.

A mass is suspended on a vertical spring. initially, the mass is in equilibrium. then, it is pulled downward and released. the mass then moves up and down between the "top" and the "bottom" positions. by definition, the period of such motion is the time interval it takes the mass to move:

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A mass suspended from a spring is pulled down a distance of 2 ft from its rest position, as shown in the figure. The mass is released at time t=0
and allowed to oscillate. If the mass returns to this position after 1 s, find an equation that describes its motion.

Brianna is working on her homework. her assignment is to come up with four representations for an exponential function of her choosing. she decides it is easiest to start by writing an equation, so she chooses . help brianna create the other three components of the web.

Answers

Brianna is working on her homework. using an exponential function in the form y = abˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where y, x are variables, a is the initial value of y and b is the multiplication factor.

Brianna is working on her homework. using an exponential function in the form y = abˣ

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Read this excerpt from rudyard kipling's novel kim in which kim responds to the lama's questions. then complete the sentences that follow. "so they made the triple trial of strength against all comers. and at the test of the bow, our lord first breaking that which they gave him, called for such a bow as none might bend. thou knowest?" "it is written. i have read." "and, overshooting all other marks, the arrow passed far and far beyond sight. at the last it fell; and, where it touched earth, there broke out a stream which presently became a river, whose nature, by our lord's beneficence, and that merit he acquired ere he freed himself, is that whoso bathes in it washes away all taint and speckle of sin." . . . "if i knew, think you i would not cry it aloud?" "by it one attains freedom from the wheel of things," the lama went on, unheeding. "the river of the arrow! think again! some little stream, maybe—dried in the heats? but the holy one would never so cheat an old man." "i do not know. i do not know." the lama is looking for "the river of the arrow" because . the excerpt shows that .

Answers

Answer:

The lama is looking for "The River of the Arrow" because  he thinks he will be purified spiritually when he finds it .

The excerpt shows that  Kim is eager to show the lama that he does not know where the river is located .

Explanation:

Answer:Edmentum

Explanation:

Which words complete the sentence correctly? allowed, allowed aloud, aloud aloud, allowed allowed, aloud

Answers

Answer:

depends on what u are talking about

Explanation:

if you ask “ mom am i allowed to use the restroom?”

Or if ur talking about music the mom would generally say “that music is aloud” or something like that

Find the exact volume of this cylinder in terms of π. refer to your staar 8th grade math reference sheet for the appropriate formula. question 1 options: 45π cm3 90π cm3 225π cm3 900π cm3

Answers

The exact volume of the given cylinder with a height of 9cm and a diameter of 10 cm is; 225π cm³

What is the volume of the cylinder?

We are given;

height of cylinder; h = 9 cm

diameter of cylinder; d = 10 cm

Thus, radius; r = d/2 = 10/2 = 5 cm

Formula for volume of a cylinder is;

V = πr²h

V = π * 5² * 9

V = 225π cm³

In conclusion, the volume of the cylinder is 225π cm³

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The scatterplot and table show the weekly profit in dollars earned

Answers

Add a picture for an answer next time

A boundedintarray represents an indexed list of integers. in a boundedintarray the user can specify a size, in which case the indices range from 0 to size - 1. the user can also specify the lowest index, low, in which case the indices can range from low to low + size - 1.

Answers

The declaration of the data fields myItems and myLowIndex is that they prevent run time errors each time public methods needs to access the private data fields

How to determine the true statement?

The boundedintarray is an illustration of arrays and lists

From the complete question, we have the declaration of the data fields:

myItems and myLowIndex

The declaration of the above data fields are used for the following reasons:

Prevent run time errorsAllows a public method to access private data fields

Hence, the true statement about the declarations prevent run time errors each time public methods needs to access the private data fields

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addition and subtraction worksheets for kindergarten

Answers

Answer:

Where's the question or problem?

Explanation:

How is population growth likely to affect the supply of solar energy and its environmental effects?

Answers

Answer:

Explanation:

In this study, variation in population size corresponded to variation in energy consumption at double the rate. That is, for a 20% increase in population size, energy consumption increased by 43.6%; conversely, for a 20% decrease in population size, demand for energy decreased by 44.6%.

Which propaganda technique is represented by the quote, "my opponent is soft on crime!"? a) bandwagon b) name calling c) stacked cards d) glittering generality

Answers

The propaganda technique represented by the quote "my opponent is soft on crime!" is name calling (Option b).

What is name-calling?

The expression name-calling makes reference to the propaganda based on stereotypes and/or labeling.

The name-calling strategy can be a direct or indirect manner for making the propaganda in the media.

This propaganda (name-calling) occurs when complementary expressions-words are used by the media to describe people.

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How will you convert 80 inches into centimeters brainly

Answers

Answer:

203.2

Explanation:

Gabrielle is writing a research paper about how reindeer are adapted to their habitat. Which two websites will most likely give gabrielle relevant information for her research paper?

Answers

Answer:

Reindeer Facts- All About Reindeer

Reindeer | Reindeer info page

Explanation: Got it right on edmentum

Answer: Answer:

Reindeer Facts- All About Reindeer

Reindeer | Reindeer info page

Explanation:

Algebra 1 houghton mifflin harcourt teacher edition pdf

Answers

An example of Algebra 1 Houghton Mifflin Harcourt  is quantitative reasoning such as Rewrite the term 9a+4b+(-18).

What is a algebra in math?

Algebra is known to be a part of  mathematics that handles problems with symbols or variables and it is known to often uses arithmetic operations such as (+, –, ×, ÷) to look for an unknown quantities.

To rewrite the terms, known that the terms are part of the expression that are said to being added. Therefore, for one to be able to rewrite subtraction as addition in the expression,

9a+4b+(-18)

Then it will be

9a, 4b, - 18

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The formula for the volume of a pyramid is v=1/3bh

Answers

Answer:

The formula for the volume of a pyramid is V= 1/3 Bh , where B is the area of the base of the pyramid and h is the height of the pyramid

Explanation:

NP

for a repressible operon to be transcribed, which of the following must occur?

Answers

Answer:

For transcription, RNA polymerase should bind to the promoter, then only mRNA will be formed. Repressible operon is exhibited by tryptophan. This operon is normally turned ON, because the

Explanation:

What is the sum of the first 26 terms of the arithmetic series? 7+11+15+19+… enter your answer in the box.

Answers

Answer:

1,482

Explanation:

Hope This Helps!

among florida regulations regarding obstructions to navigation, it is illegal to attach your vessel to which of the following?

Answers

it is illegal to attach your vessel to a lateral buoy or non-lateral marker

What is illegal to attach your vessel to?

Note that it is illegal to attach a vessel to a buoy , beacon, etc. or any other form of navigational aid that is put into a public waters by the right authorities.

It has been stated that it is bad or illegal for on to Move, displace, alter, damage, or do away with any form of navigational aid and this can attract penalty.

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What roles are most important in a text-based discussion? check all that apply.

Answers

Answer:

The roles which  are most important in a text-based discussion is:

B) Summarizing the text that the group has read

C) Sharing an idea, claim, or theory about the story

D) Asking other participants questions about what they feel.

Text-based educating includes express educating of the construction of various text types and an informative methodology in which the instructor presents the message and its motivation highlights, guides understudies through the creation of messages however the most common way of framework.

Explanation:

i hope this helped

Answer:

B) Summarizing the text that the group has read

C) Sharing an idea, claim, or theory about the story

D) Asking other participants questions about what they feel.

Explanation: the one above is correct

If taxes are 20% of net income, what is the planned profit for the year?

Answers

Answer:Her return on investment is 20%

2. $40,000

Explanation:

which of the following is one of the reasons to debrief after doing an event when using the abcd model?

Answers

A reasons to debrief after doing an event while using the ABCD model is to make the communication of issues simple and plain.

What is an ABCD model?

An ABCD model is an abbreviation for assumption based communication dynamics model and it can be defined as a strategic methodology that allows a project manager or business organization to capture differing opinions, viewpoints and knowledge from respective stakeholders, so as to enhance the swift communication of issues and ensures a proactive management of associated risks.

Based on the assumption based communication dynamics (ABCD) model, it is important to debrief after doing an event because it provides a simple language for the communication of risk to various departments of a business organization.

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