From a point 54.0 feet from the base of a flagpole, the angle of elevation to the top of the flagpole is 68.5°. find the height of the flagpole.

Answers

Answer 1

The flagpole forms a right-triangle with its base and its top

The height of the flagpole is 137.1 feet

How to determine the height?

To determine the height, we make use of the following tangent trigonometry ratio

[tex]\tan(68.5) = \frac{h}{54.0}[/tex]

Where:

h represents the height of the flagpole.

So, we have:

[tex]h = 54.0 * \tan(68.5)[/tex]

Evaluate

[tex]h = 137.1[/tex]

Hence, the height of the flagpole is 137.1 feet

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Related Questions

When describing electromagnetic radiation, there is a(n) _____________ relationship between wavelength and frequency and the greater the frequency, the ____________ energy the electromagnetic radiation has

Answers

Answer:

an should be there isn't it

which of the following incorrectly matches an embryonic structure with its function?

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Answer:

yok sac/provides nutrients to developing embryo

Which condition feeds a tropical storm as it develops into a hurricane?

Answers

Answer:

heat and moisture

Explanation:

i took the quiz

A college student earns $ 15 , 000 working part time at a bookstore. the student pays 1 10 of the earnings in taxes, spends 2 5 of the earnings on living expenses, and saves the remainder of the earnings. how much money does the student save?

Answers

The amount she will have left having been working as a part time at a bookstore $14,865

What is savings?

Savings is the amount left after deducting expenses spent. it is the money set aside for future use and not spent immediately.

Given that:

Total amount earned by the student

= $15000

Earning paid off in taxes

= $110

Amount spent on living expenses

= $25

Amount she will have left

= $15000 - ($110 + $25)

= $15,000 - $135

= $14,865

Hence the amount she will have left is $14,865

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Suppose a man is heterozygous for heterochromia, an autosomal dominant disorder which causes two different‑colored eyes in an individual, produced 25‑offspring with his normal‑eyed wife. of their children, 15 were heterochromatic and 10 were‑normal. calculate the chi‑square value for this observation.

Answers

The chi‑square value for this observation is 1.96

What is Chi-square?

This is known to be a form of  statistical test that is employed so as to investigate the differences that exist between categorical variables taken from a random sample.

It is used to construct or to  judge goodness of fit that exist between expected and observed results.

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Nonverbal communication such as posture, gestures, expressions, and eye
movement are all examples of:
A. body language.
B. opposing signals.
Ο Ο Ο Ο
C. presentation cues.
D. supporting signals.

Answers

There are all examples of: A. body language.

Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 + 7x – 14 6x2 (x – 2) + 7(x – 2) which is the completely factored form of his polynomial? (6x2 + 7) (x –2) (6x2 – 2) (x +7) (6x2 + 2) (x – 7) (6x2 – 7) (x + 2)

Answers

The completely factored form of his polynomial 6x³ - 12x² + 7x - 14 Wen factored is (x-2) ( 6x² + 7)

How to factorise a polynomial

6x³ - 12x² + 7x - 14

= 6x² (x - 2) + 7(x - 2)

Factor out the term (x-2) form each term

6x²(x – 2) + 7(x – 2)

= (x-2) ( 6x² + 7)

Therefore, the completely factored form of his polynomial is (x-2) ( 6x² + 7)

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Answer:

Answer  is A

Explanation:

Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 444 packs. suppose that each pack has probability 0.20.20, point, 2 of containing the card hugo is hoping for. let the random variable xxx be the number of packs of cards hugo buys. here is the probability distribution for xxx:

Answers

Considering the given discrete probability distribution, it is found that there is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.

What is the discrete probability distribution?

Researching on the internet, it is found that the discrete probability distribution for the number of packs that Hugo buys is given by:

P(X = 1) = 0.2.P(X = 2) = 0.16.P(X = 3) = 0.128.P(X = 4) = 0.512.

The probability that he buys fewer than 3 packs is given by:

P(X < 3) = P(X = 1) + P(X = 2).

Hence:

P(X < 3) = P(X = 1) + P(X = 2) = 0.2 + 0.16 = 0.36.

There is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.

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Answer:

0.64

Explanation:

A) how can cells from a single plant have different characteristics?

Answers

The plant cell wall is a specialized form of extracellular matrix that surrounds every Plant cells can be distinguished from most other cells by the presence of chloroplasts, which are also found in certain algae.

A college degree is associated with a higher income on average, so it makes sense to look at educational attainment when thinking about gender wage inequality. as your textbook notes, women’s college enrollment

Answers

Women’s college enrollment was has always been higher than men's, with the exception of the 1920s.

What is the reason of  women's college?

The reason of women's colleges was so that women, who have not been allowed to go to colleges and universities back in the 1800s were then given an opportunity.

Women are known to have access to high-quality post secondary education in this modern day than when compared to the 1800s.

See full question below

A college degree is associated with a higher income on average, so it makes sense to look at educational attainment when thinking about gender wage inequality. Women's college enrollment:______a. has always been higher than men's, with the exception of the 1920s. b. was lower than men's in the 1970s, but has been higher than men's since the 1980s. c. has been just about the same as men's since the 1960s. d. was lower than men's in the 1950s, but has been the same as men's since the 1970s.

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Find out where cancún, guadalajara, and oaxaca are located in mexico and describe one interesting attraction you can find at each one.

Answers

The location and interesting attractions of the different cities of cancún, guadalajara, and oaxaca are; Described in the answer below

Where is the location of some cities?Cancun: It is a city located in the southeastern part of Mexico, in the state of Quintana Roo, in the Yucatan peninsula and one of the most famous destinations in Mexico. One thing that you can see here is the Mayan ruins known as "El Rey."

Guadalajara: This city is located in western Mexico and is the capital of the state of Jalisco. One of the most important touristic attractions of this city is the Hospicio Cabañas.

Oaxaca: This city is located in the state of Oaxaca at the Centro District in the Central Valleys region of the state, on the foothills of the Sierra Madre. One of the most important attractions of Oaxaca is the festival of the "Guelaguetza."

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Which of these is not a form of electromagnetic radiation?

Answers

Answer:

where are the options without options how do i answer sorry

A train leaves boston and travels toward its destination

Answers

Answer:

i think it is 4mph

Explanation:

Six performers are to present their musical numbers in an auditorium. one of the performers requested to be the last act. in how many ways can the performances be arranged if the request was granted?

Answers

The numbers of ways that the performances can be arranged if the request was granted is 120 ways.

What is  performances?

The term performance is a term that can be countable or uncountable in nature. Note that to calculate the performance, since it is 6, one has to times from 5 to 1:

5*4*3*2*1=20*6=120

So, the request can be granted is 120 ways.

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Why should Christians fight against spread of devil worship in the society​

Answers

Christians fight against spread of devil worship​ because they believed the devil is the one who makes people to do bad/evil thing and when he is worshipped, the devil will have more power to oppress and control people.

What is devil worship?

Theistic Satanism is known to be a Religious belief that is often called religious Satanism, spiritual Satanism, etc.

It is known as the body of people or groups that sees Satan to be an their god and as such the bible states that the work of Satan is to do evil and separate man from God. Christians are against the worship of a being who leads others to eternal doom and to do evil.

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I run a book club with $n$ people, not including myself. every day, for $365$ days, i invite three members in the club to review a book. what is the smallest positive integer $n$ so that i can avoid ever having the exact same group of three members over all $365$ days?

Answers

The smallest positive integer n so that you can avoid ever having the exact same group of three members over all 365 days is; 11

How to solve probability combination?

if we have n people and we want to do groups of 5, the total number of different combinations is:

ⁿC₅ = n!/((n - 5)!5!)

By using the Brute force method, we have;

If n = 5,

c = 5,

Thus;

C₅ = 5

If n = 6,

c = 6,

Thus;

C₅ = 6

If n = 7,

c = 7,

Thus

C₅ = 21

If n = 8,

c = 8,

Then;

C₅ = 56

Now, If n = 9,

C = 9!/((9 - 5)!5!)

C = 126

We want to find the smallest n such that c > 365. Thus, C = 126 is too small.

Let's try n = 11;

C = 11!/(6! * 5!) =  462

This is greater than 365 and so we need at least 11 members in the club.

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How does housman use the structure of the poem to create surprise?

Answers

The poet offers an elegy for a young, athletic man who recently passed away in "To an Athlete Dying Young." Naturally, this is a tragic subject, and the poet begins his poem with a sorrowful and solemn tone of pity. The author, on the other hand, uses the poem's structure to surprise his audience. Despite the melancholy tone of the opening line, the tone of the poem shifts to one of satisfaction and praise as the poem goes on, surprising the reader. The author can express various opposing views in each stanza. While he feels that dying young is a pity, he considers how rapidly youth fades and how many men lose their reputation by the time they reach retirement age. He says that if an athlete dies young, he will never have to deal with old age, decline, or loss of glory. Despite the melancholy, the author can draw some constructive conclusions from the incident

How many revolutions does the smaller gear complete during a single revolution of the larger gear?

Answers

Answer:

As the small gear rolls along the circumference of the large gear, the shaft of the small gear completes 30/15 = 2 rotations for every 1 rotation of the large gear shaft. This is called a gear reduction of 1:2. I hope this helps.

excel ran out of resources while attempting to calculate

Answers

Re: Excel ran out of resources while attempting to calculate one or more formulas

Your used range includes a lot of empty cells. If you hit Ctrl+End it will take you to the last cell in the used range and you can see ...

You have a lot of empty formatted cells (colored), but should be corrected when you reset the used range.

You have this formula on the Project Cost Tracking worksheet, cell CE1:

how many feet will it take you to stop from 60 mph

Answers

It will take 88 feet for you to stop from 60 mph

How to prepare for the ap calculus advanced placement examination

Answers

Answer:

Watch some videos on complex topics you have trouble doing, and do any exercises the video links to. Read all your textbooks and test yourself, or have somebody do it for you. Read all your notes and memorize terms.

Answer:

Watch some videos on complex topics you have trouble doing, and do any exercises the video links to. Read all your textbooks and test yourself, or have somebody do it for you. Read all your notes and memorize terms.

Explanation:

The idea that a dollar received in the future has less value than a dollar received today because a dollar received today can earn interest over time is called

Answers

The interest received on a dollar invested over time is called Return on Investment (ROI

Return on Investment

It should be noted that if the dollar received today is not put into good investment it might as well be the same as the dollar received in future.

Money losses value overtime  hence in other for money to have values it should be invest carefully and wisely.

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In addition to deep sea organisms, there are many species found throughout the ocean. the numbers and relative proportions of bacteria and archaea change with depth in response to changing conditions. viruses that infect the prokaryotic organisms play a variety of important roles in this habitat, including control of their overall numbers and facilitation of horizontal gene transfer. choose whether each statement best describes bacteria, archaea, or viruses.

Answers

The statements are not found in the question but it is important to highlight that viruses are not living forms and bacteria and archaea are prokaryotic organisms.

What are prokaryotic organisms?

Prokaryotic organisms such as bacteria and Archaea are simpler forms of life that lack a cell nucleus and membrane-bound organelles.

Viruses are not living things because they need a suitable host to survive (i.e., viruses are replicative entities).

Some characteristics of Archaea include:  

Most Archaea that live below 1000 m are ammonia oxidizers.They increase to 50% of prokaryotes below 1000 m.The major phylum below 1000 m is Thaumarchaeota.

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What is the first step in the talk method of conflict resolution?

Answers

Answer:

Communication is the first step.

Explanation:

Read this passage from when birds get flu and cows go mad! by john diconsiglio. Hughes was assigned to find infected cow parts at meat processing plants in washington. He remembers the sad look on some owners’ faces when he flashed his badge. If there was a chance that any of their meat might have mad cow, they’d have to throw it all away. "the business they built from scratch was destroyed—through no fault of their own. And there was nothing they could do about it," hughes says. The tone in this passage most suggests that hughes is caring. Dedicated. Tense. Focused

Answers

The tone of the author in this passage from "When the birds get flu" can be described as caring.

What is the tone?

This refers to the general attitude of the author in a text when referring to the subject or topic the author describes. For example, a text about the pandemic might have a pessimistic or optimistic tone.

What is the tone in the excerpt?

This excerpt shows a rather caring tone, this is because the author seems to worry about the negative impact of the mad cow disease on farmers. This can be seen in excerpts such as:

"the sad look on some owners’ faces""the business they built from scratch was destroyed

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Answer:

a - caring

Explanation:

A driver of a 1 000 kg jeepney travelling at a speed of 16,7 m/s bound for divisoria applies the car's brakes when he sees a red light along recto avenue. the car's brakes provide a frictional force of 8 000 n. determine the stopping distance of the car.

Answers

The stopping Distance of the Car with the given parameters is; 17.43 m

What is the stopping sight distance?

We are given;

mass; m = 1 000 kg

speed; u = 16.7 m/s

Frictional force; F = 8000 N

distance, s  = ?

final velocity = 0 m/s (car stops)

Formula for final velocity is;

v² = u² + 2as

but a = negative (deceleration)

And F = ma

Thus;

a = F/m = 8000/1000

a = 8 m/s²

Thus;

0 = (16.7)² - 2(8)(s)

278.89 = 16s

s  = 17.43 m

Stopping distance = 17.43 m

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According to roosevelt, what was the true goal of the new deal? to rebuild the us to restore us values to remind people of the us how to work

Answers

According to Franklin Delano Roosevelt, the true goal of the New Deal is: B. to restore US (American) values.

Who is Roosevelt?

Franklin Delano Roosevelt was an American politician and statesman who was elected to serve as the 32nd President of the United States of America in 1933. Also, he was born on the 30th of January, 1882 in Hyde Park, New York, United States of America.

What is the New Deal?

The New Deal was a collection of government reform programs that were established by President Franklin Delano Roosevelt between 1933 and 1939 in the United States of America so as achieve the following:

Boost the economy.Guard against economic disasters.Provide employment opportunities for the people.

In conclusion, we can deduce that in accordance with Franklin Delano Roosevelt, the true goal of the New Deal is to restore US (American) values.

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Answer:

B. to restore US values

Explanation:

Edge 2022

Rebello's preferred stock pays a dividend of $1.00 per quarter, and it sells for $55.00 per share. what is its effective annual (not nominal) rate of return?

Answers

Assuming it sells for $55.00 per share. Its effective annual (not nominal) rate of return is 7.47%.

Effective annual rate of return

Using this formula

Effective annual rate of return=[1+(Preferred quarterly dividend+Preferred stock price]^Periods per year-1

Where:

Periods per year =4

Preferred quarterly dividend=$1.00

Preferred stock price=$55.00

Let plug in the formula

Effective annual rate of return = [1+ ($1.00/$55.00)]^4 - 1

Effective annual rate of return=(1+0.018181818)^4-1

Effective annual rate of return=(1.018181818)^4-1

Effective annual rate of return =1.0747-1

Effective annual rate of return =0.0747×100

Effective annual rate of return = 7.47%

Therefore the Effective annual rate of return will be 7.47%.

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Using specific details from the lesson and the assignment: write a short paragraph comparing the us point of view and castro’s point of view on the events surrounding the cuban revolution

Answers

Answer:

According to Castro, the territory of Latin America is suffering from countries like the United States using their imperialistic powers. According to Castro, countries such as the United States take advantage of Latin American countries. Kennedy and other US leaders believe that Castro has created a dictatorship. The people of Cuba are suffering because Castro and communism oppress people politically and economically.

Explanation:

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How can 100. ml of sodium hydroxide solution with a ph of 13.00 be converted to a sodium hydroxide solution with a ph of 12.00 ?

Answers

The solution can be evaporated such that only 10mL of the solution remains in that way, we can have a solution of pH 12.00.

What is pH?

The pH refers to the degree of acidity or alkalinity of solution. We can obtain the concentration of each solution from the pH as follows;

At pH = 13;

[OH^-] = Antilog (-13) = 1 * 10^-13 M

At pH 12

[OH^-] = Antilog (-12) = 1 * 10^-12 M

Using the formula;

C1V1 =C2V2

1 * 10^-13 M * 100 mL = 1 * 10^-12 M * VmL

VmL = 1 * 10^-13 M * 100 mL/1 * 10^-12 M

VmL = 10mL

The solution can be evaporated such that only 10mL of the solution remains in that way, we can have a solution of pH 12.00.

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