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.

Answers

Answer 1

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

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Related Questions

If a fish possesses the ability to produce copious amounts of urine and the ability to move ions via active transport across the gills, what would be the expected habitat of the fish?.

Answers

Answer:

Their Strength

Explanation:

Where's the choices my answer is their Strength I think

What change in a population would you expect to see if a selection pressure was against the trait of a dominant allele in that population?.

Answers

Answer:

The change in population in the given condition would be an increase of true recessive traits in the population and there would be only a few individuals with dominant traits.

In case of selection pressure was against the dominant trait, then individuals of the population who have true recessive alleles would have an advantage over the heterozygous and dominant individuals of the population.

There would be very few individuals carrying its dominant genotype and it may eventually be extinct, however, it would be still dominant. The recessive trait would just become more prominent rather than becoming dominant.

Thus, the number of recessive traits would increase in population, and the number of dominant decrease to numbers.

Explanation:

How much heat must be removed from 456 g of water at 25.

Answers

Answer: 208.9k
Hope this helps!

A particle moves along the curve y = 4x2 + 1 in such a way that the x value is increasing at the rate of 2 units per second. At what rate is y changing when x = 1?.

Answers

By differentiating both sides of y = 4x² + 1 with respect to time t, we have

dy/dt = 8x dx/dt

If the x value changes at a rate of +2 units/second (that is, dx/dt = 2) at the moment x = 1, then the y value changes at a rate of

dy/dt = 8 • 1 • 2 units/s = 16 units/s

Deanna is a new medical assistant in the office in which you work. She does not understand the matrix for making appointments. On her second day at work, she is on her own to make appointments, because the person who usually makes appointments is out with a sick child. Deanna makes two appointments in each slot as she did in her previous place of employment instead of the one that should have been made using the matrix. How will this affect the patients who are being seen for the next few days? what will this mistake do to public relations in the office?.

Answers

Based on the information given, the impact of the appointments made will be that the slot time will be changed or there'll be an increase in the waiting time.

From the information given, Deanna should have made one appointment but rather, she made two appointments. This will lead to an increase in the waiting time for the other patients.

The impact of the mistake on public relations in the office is that it will lead to delay in services and a poor guidance system.

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A 1. 80-kg block slides on a rough, level surface. When it is traveling at 2. 00 m/s, the block hits a linear, ideal spring and compresses it by a distance of 11 cm before (momentarily) coming to rest. The coefficient of kinetic friction between the block and the surface is 0. 56. What is the force constant of the spring?.

Answers

Use the work-energy theorem.

The total work W performed on the block is done by friction and the restoring force in the spring, both of which oppose the block's motion. By Newton's second law,

• the net horizontal force on the block is

∑ F (hor) = -f - s = ma

where f = magnitude of friction, s = mag. of restoring force, m = 1.80 kg, and a is the acceleration of the block; and

• the net vertical force on the block is

∑ F (ver) = n - mg = 0

where n = mag. of normal force.

It follows that

n = mg   ⇒   f = 0.56n = 0.56mg

and so the work done by friction as the spring is compressed by 11 cm = 0.110 m is

W (friction) = -0.56mg (0.110 m) = -1.09 J

The work done by the spring as it compresses is

W (restoring) = -1/2 k (0.110 m)²

where k is the spring constant.

Then the total work is

W = -1.09 J - 1/2 k (0.110 m)²

By the work-energy theorem, this work is equal to the change in the block's kinetic energy,

W = ∆K

Since it comes to a stop, we have

∆K = 0 - 1/2 mv² = -1/2 (1.80 kg) (2.00 m/s)² = -3.60 J

So, we have

-1.09 J - 1/2 k (0.110 m)² = -3.60 J

and solving for k gives

k = (-3.60 J + 1.09 J) / (-1/2 (0.110 m)²)

k ≈ 415 N/m

Identify the organs of digestion being described select your answer from the list.

Answers

Answer:

stomach

Mouth

esophagus

small intestine

Large intestine

1. a long coiled connected from the stomach.

2. a long muscular tube that connects the pharynx to the throat to

the stomach.

3. a large J-shaped organ at the end of the esophagus, on the left

side of the body.

4. Is the first part in the digestive system composed of teeth and the

Explanation:

Even at moderate temperatures, attractions between molecules seem to have little effect on the elasticity of gas-gas collisions because.

Answers

Attractions have little effect on the elasticity of gas-gas collisions because they are brief and fast. These particle collisions exhibit insufficient time to significantly affect the entire system.

The Kinetic Molecular Theory (KMT) is a model used in order to describe the behavior of gases by understanding the behavior of an ideal gas.

According to this theory, collisions between particles of gases are elastic, and therefore the kinetic energy is conserved when they collide.

An elastic collision can be defined as a type of collision between two particles in which the total kinetic energy remains the same.

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When i get multiplied by any number, the sum of the figures in the product is always me. What am i?.

Answers

Answer:

sorry I cannot answer your question I'm just commenting for points

Which is the correct way to write the underlined portion of the following sentence? the students hoped to quickly finish the test so they would be able to work cooperatively on their projects.

Answers

No part of this is underlined but I believe it should read: the students hoped to finish the test quickly, so they would be able to work cooperatively on their projects.

Throwing a snowball during a snow ball fight is most like an example of.

Answers

Answer:

Accumulation

Choices should be:

Weather, erosion, deposition, and acumulation

Explanation:

This is because the snow had to accumulate enough in order to make a snowball.

-Lexi

A baker has her hand-mixer set to high to mix a cake batter. She can turn it down to low or turn it off. Which best describes what she did during the time shown on the graph?.

Answers

The description on the graph is: (c) after 30 seconds, she turned it down to low for 30 seconds. She turned it back to high for 60 seconds, then turned it off.

From the complete question, we have the following highlights

The graph has three horizontal linesOne of the lines is on the x-axisThe other lines represent high and low, and they have intervals of 30 and 60 seconds, respectively

Hence, the description on the graph is:

After 30 seconds, she turned it down to low for 30 seconds. She turned it back to high for 60 seconds, then turned it off.

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Answer:

After 30 seconds, she turned it down to low for 30 seconds. She turned it back to high for 60 seconds, then turned it off.

Explanation:

got it right on ttm

Which main problem is being solved by the hubble space telescope?.

Answers

Answer:Hubble’s main mirror being polished before installation

The Hubble Space Telescope's primary problem is option D, i.e., trying to identify the brightest stars in the galaxy.

What is a Hubble Space Telescope?

The Hubble Space Telescope is a space telescope that was initiated into low Earth orbit in 1990 and is still active today.

It was not the first space telescope, but it is one of the biggest and most versatile, known for its importance as a research tool as well as a public relations boon for astronomy.

Hubble was intended to be a multi-purpose observatory capable of exploring the universe in visible, ultraviolet, and infrared wavelengths.

To date, the telescope has studied over 40,000 cosmic objects, providing views that astronomers could not obtain from the ground.

The primary challenge for the Hubble Space Telescope is identifying the brightest stars in the galaxy.

Thus, the correct option is D.

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Which two characteristics are shared by all thunderstorms, tornados, and hurricanes? clouds and wind eyes and clouds warm, dry air and wind large waves and warm, dry air.

Answers

Answer:

Clouds and wind

Explanation:

A on EDGENUNITY

Clouds and wind eyes are characteristics are shared by all thunderstorms.

What is Thunderstorms?

A thunderstorm is a downpour of rain accompanied by thunder. Since lightning produces thunder, all thunderstorms contain lightning.

The afternoon and evening hours in the spring and summer are when thunderstorms are most likely to occur, however they can happen at any time of day.

The majority of thunderstorms happen in the afternoon in the Gulf Coast and throughout the southeastern and western regions. In the Plains states, thunderstorms usually develop in the late afternoon and at night.

Therefore, Clouds and wind eyes are characteristics are shared by all thunderstorms.

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Which of the following is not a characteristic of the sampling distribution of sample means (the means of all possible samples of a given size)?.

Answers

Answer:

The mean is zero and standard deviation is one. Not standard sample

A hot air balloon exerts a force of 1200 newtons while lifting a load of 800 newtons. Which free-body force diagram depicts the forces involved?.

Answers

Answer:

the force is called electrostatic force

In which year did the inca wayna capac die of smallpox? around 1527 around 1529 around 1530 around 1532.

Answers

Inca Wayna Capac died of Smallpox around 1527. He was the ruler of the

Inca Empire between 1493- 1525.

Wayna Capac traveled to the North region of Quito. He contracted the

disease known as smallpox. The disease came from Europe through

Spanish travelers . This was the period with high prevalence in which

millions of people were killed.

Although the vaccine was later made around 1977 , Inca Wayna Capac

died around 1527.

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Answer:

the answer is A) around 1527

Explanation:

Skye listed her assets and liabilities on a personal balance sheet. Skye’s balance sheet (april 2013) assets liabilities cash $1,000 credit card $4,000 investments $1,000 student loan $1,000 house $200,000 mortgage $100,000 car $8,000 car loan $5,000 total ??? total ??? net worth: ??? what is skye’s net worth? $100,000 $110,000 $210,000 $320,000.

Answers

Answer:

A. 100000

Explanation:

Skye listed her assets and liabilities on a personal balance sheet $100,000.

What is Balance Sheet?

An organization's assets, liabilities, and shareholder equity are listed on a balance sheet, which is a financial statement. One of the three primary financial statements used to assess a company is the balance sheet.

It offers a snapshot of the assets and liabilities of a corporation as of the publication date.

The assets on the balance sheet are equal to the total of the liabilities plus the shareholders' equity. Financial ratios are computed using balance sheets by fundamental analysts.

Therefore, Skye listed her assets and liabilities on a personal balance sheet $100,000.

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What are the equations of the asymptotes of the hyperbola? (y+4)236−(x−6)249=1 enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Answers

The point slope form of the asymptote of the hyperbola is; y - 4 = ±(6/7)(x - 6)

We are given the equation of the hyperbola as;

[(y + 4)²/36] - [(x - 6)²/49] = 1

We can rewrite this equation as;

[(y + 1)²/6²] - [(x - 6)²/7²] = 1

The general equation form of hyperbola is;

[(y - k)²/a²] - [(x - h)²/b²] = 1

Comparing this general form to our given equation we can see that;

k = -4

h = 6

a = 6

b = 7

Now the equation of the asymptote of a hyperbola follows the general formula;

y = ±[a(x - h)/b] + k

Plugging in the relevant values gives us;

y = ±(6/7)(x - 6) - 4

>> y - 4 = ±(6/7)(x - 6)

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Answer: y+4=±6/7(x−6)

Explanation: I just took the test. This is the right answer.

Which scenario can be represented using the inequalities below? 1. 25 < x < 1. 5 a container of milk costs at least $1. 25 but less than $1. 50. A student spends at least 1 hour 15 minutes, but no more than 1 hour 30 minutes on homework. A tip added to a restaurant bill is less than or equal to 25% or less than or equal to 50%. The point value of a test item is more than 1. 25 points and less than 1. 5 points.

Answers

Answer:

Explanation:22

Holle i mean I mean I mean hello

Lines l and m are parallel. Line l can be represented by.

Answers

Line m. I found this by trying to figure out how to draw a parallel line

What is the ground-state electron configuration of o2−?.

Answers

Ground-state means that the element is in its lowest energy form (not in excited state). Neutral oxygen means it has no charge, meaning no electrons are removed or added in the atom. Therefore, the electron configuration for O2- is O2-: 1s22s22p6.

How does douglass appeal to the audience’s sense of logic in the excerpt? by using his own personal experiences to gain their trust by recounting emotional events to evoke sadness by explaining the reasoning behind his argument by describing how he plans to effect change in the us.

Answers

Answer:

Explanation:

need help

Answer:

B. by recounting emotional events to evoke sadness

Explanation: I got it right

A security team is working with a client to evaluate the security of data and it functions that are most critical to the operation and success of their organization.

Answers

The three (3) security goals that would align and prioritize security efforts to the business goals of an organization are:

1. Confidentiality

2. Integrity

3. Availability

A security goal can be defined as both the short-term and long-term strategic objectives that detects and protects the assets of a business organization from theft or misappropriation by any internal or external party.

This ultimately implies that, it is very important that security goals of a business organization are aligned with its business goals.

Generally, there are three (3) main security goals for all business organizations and these include:

Confidentiality: the confidentiality of all data and assets should be well protected.

Integrity: the integrity of all data and assets should be preserved.

Availability: all data and assets should be provided for authorized use only.

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Which of these practices describe how producers in oligopolies.

Answers

Answer:

Collusion and Competition

Alyssa is 12 years older than her sister, bethany. The sum of their ages is 44. Find their ages.

Answers

system%28a=b%2B12%2Ca%2Bb=44%29



system%28a-b=12%2Ca%2Bb=44%29

a=28 and b=16

Which citation is formatted correctly using mla guidelines? barrett, leigh. Snow removal woes. "hartford times-dispatch" 12 january 2012: b12. Print. Barrett, leigh. Snow removal woes. Hartford times-dispatch, metro section 12 january 2012: b12. Barrett, leigh. "snow removal woes. " hartford times-dispatch 12 january 2012: b12. Print. Barrett, leigh. "snow removal woes. " hartford times-dispatch, metro section 12 january 2012: b12.

Answers

The citation that is formatted correctly using MLA's guidelines is;

Barrett, Leigh. "Snow Removal Woes." Hartford Times-Dispatch 12 January 2012: B12. Print.

MLA simply means Modern Language Association. This is a format that states that when citing a newspaper article, we must write in the following order;

Write the author's last name. Write his first nameWrite the title of the article. Write the newspaper title. Write the name of the city. Write the date and month and year of publication, and print.

The only option that follows this MLA format guidelines correctly is;

"Barrett, Leigh. 'Snow Removal Woes.' Hartford Times-Dispatch 12 January 2012: B12. Print.".

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Answer:

ccccccc

Explanation:

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Which statement best summarizes brown’s message in this essay?.

Answers

Answer:

where the essay?

Explanation:

Which of the following is influenced by personal economic choices? choose four answers. The cost of your rent and utilities the resources you have available the amount of money you spend on a bus pass the money you decide to spend on leisure products the amount of money you put into your savings account the manner in which you balance your time between work and leisure.

Answers

People are known to make different choices. The options that is influenced by personal economic choices are;

The resources you have available The money you decide to spend on leisure products The amount of money you put into your savings account The manner in which you balance your time between work and leisure.

Choice is simply known as to the ability of a consumer or producer to say or decide the type of good, service or resource, they want to purchase or state their preference.

Economic decisions are referred to as those decisions or choices that people, country etc., have to make about what they should do in a condition of scarcity.

Personal Economic Decisions is simply referred to as when individuals make economic decisions or choices on a regular basis.

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Answer:

B, D, E, and F in short. Credits to the people who answered before me:)))

Explanation:

PLEASE HELP ASP

Define the following
• Self-evaluation
• Personal skills
• Personal qualities

Answers

Answer: Let me help you with this one.

Explanation:

Self evaluation is a personal inspection, in which you check your physical mental and spiritual states, to make sure you are doing fine.

Personal skills are attributes you have in particular that can show specific prowess or an aid to eachother.

Personal qualities are traits that are used for how you qualify yourself on a level of it.

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