Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angle between the dock and the line connecting Michael and the ship is 48°, and the angle between the other dock and the line connecting Jacob and the ship is 37°. A triangle with points labeled Ship, Jacob, and Michael is shown. The length between Michael and Jacob is 20 miles. The angle between the ship, Michael, and Jacob is 48 degrees. The angle between the ship, Jacob, and Michael is 37 degrees. If the ship can travel to either dock, which dock would be closest? Explain your answer. Michael’s dock would be closer because the angle opposite is smaller. Jacob’s dock would be closer because the angle opposite is smaller. Michael’s dock would be closer because the docks are 20 miles apart. Jacob’s dock would be closer because the docks are 20 miles apart.

Answers

Answer 1

Answer:

A

Explanation:

Answer 2

If the ship can travel to either dock, the dock that would be closest is Michael’s dock would be closed because the angle opposite is smaller. The correct option is A.)

What are triangle inequalities?

The triangle inequality theorem explains the connection between a triangle's three sides. This theorem states that for any triangle, the sum of the lengths of the first two sides is always greater than the length of the third side.

The vertices must be colinear, which means that the three sides form a line segment rather than a triangle if the length of one side equals the total of lengths of the other two sides. The triangle inequality is what we refer to here. Any triangle side must be shorter than the sum of the other two sides.

Therefore, the correct option is A.) Michael’s dock would be closed because the angle opposite is smaller.

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Related Questions

(ACT) How do you tell when questions are testing you on subject verb agreement on the english section vs other concepts?

Answers

Answer:

On the ACT, you can often figure out what's being tested based on the underlined phrase and the answer choices. If you see that there are singular and plural forms of the same verb in the answer choices, determine if there's an error in subject-verb agreement.4 June 2015

Explanation:

it is known that a certain kind of algae in the dead sea can double in population every 3 days. suppose that the population of algae grows exponentially, beginning now with a population of 1,000,000.

Answers

I’m not sure what I’m doing but if you need me too and you need me to help out I will let you know

An algal bloom, also known as eutrophication, is the fast growth of algae populations in freshwater or marine water systems as a result of an overabundance of nutrients, notably phosphorus and nitrogen.

What are the causes of Cyanobacteria?

Examples of toxic algal blooms that can have detrimental effects on people's health, aquatic ecosystems, and the economy include red tides, blue-green algae, and cyanobacteria.

A cyanobacteria bloom can be caused by two factors: an abundance of nutrients, and warm water temperatures.

The main sources of extra nutrients that might cause a bloom in a water body are septic tank overflows, lawn and agricultural fertilizers, and fertilizers used on crops.

Therefore, Algal blooms might be poisonous. Pets and people should stay away from any green, slimy, or odorous water.

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which of the following best describes a major role of the thalamus?

Answers

Answer:

where are the choices?

thalamus is classically known for its roles as a sensory relay in visual, auditory, somatosensory, and gustatory systems, it also has significant roles in motor activity, emotion, memory, arousal, and other sensorimotor association functions.

Which of these people is likely to run into problems when using a credit card?

Answers

The 3rd person.

Explanation:

I took the test

on the map above, which one of the following boxes is in an area where the population density is high and the level of economic development is low?

Answers

Answer:

3434

Explanation:

a box contains 10 equal-sized balls, numbered 1 to 10. two balls are drawn at random simultaneously. what is the probability that the numbers on the two balls will differ by more than 2?

Answers

The probability that the two balls are chosen will differ by more than 2 is 43/45

Probability is the likelihood or chance that an event will occur.

If a box contains 10 equal-sized balls and 2 balls are chosen at random from the box, the total outcome will be expressed as:

[tex]10C_2=\frac{10!}{(10-2)!2!}\\ 10C_2=\frac{10!}{8!2!}\\10C_2=\frac{10\times 9 \times 8!!}{8!2!}\\10C2=\frac{90}{2} =45 ways[/tex]

If the number on the two balls chosen will differ by less than or equal to 2, the expected outcomes are (1, 2), (1, 3) that is 2 outcomes

The probability that the two balls are chosen will differ by less than or equal to 2 is 2/45

The probability that the two balls are chosen will differ by more than 2 is 1 - 2/45 = 43/45

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which excerpt from the article provides evidence that supports this claim? "the swedish academy's decision to honor dylan set off an online debate." "salman rushdie, a nobel candidate himself, called dylan ‘the brilliant inheritor of the bardic tradition.’" "dylan is of course enormously influential." "the nobel is given for a body of work."

Answers

Answer: "Salman Rushdie, a Nobel candidate himself, called Dylan ‘the brilliant inheritor of the bardic tradition.'"

Explanation: B

how do most candidates for president begin the process?

Answers

Answer:

The nominating process officially begins with the first state primaries and caucuses, which usually begin in January of the election year. It is at these local events that voters are given their first chance to participate in electing the Nation's next President.

Explanation:

are all news and information in the internet true why or why not

Answers

Answer:

fake

Explanation:

uyyuujhsjjdjdjrjrjrhrhr

Answer:

in my own opinion it is no

Explanation:

because some people don't go by the full story they sometimes use bias facts  

like joe biden he rigged the voting machines and biased that he won fair and square.

Which statements describe the electron sea model? Check all that apply. Electrons all have approximately the same energy. Electrons move among orbitals of different energies. Electrons move freely among atoms (delocalized).

Answers

The electron sea model shows that electrons move freely among atoms (delocalized).

Metals are made up of atoms which has an array of positive ions in a sea of electrons.

The electrons can move freely within metal by detaching itself from its parent atom. Hence the electrons are said to be delocalized.

The electron sea model shows electrons on the surface of a metal being able to move freely from one atom to another.

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A. Electrons all have approximately the same energy.

C. Electrons move freely among atoms (delocalized).

The next answer is

B. Electrons move among orbitals of different energies.

C. Electrons move freely among atoms (delocalized).

Have a good Day/Night <3

which statement correctly applies to a car that changes its velocity over a period of time?

Answers

What are the options

Answer:

A nonzero net force is acting on it.

Explanation:

I took the test. :)

Please select the word from the list that best fits the definition The likelihood individuals have of sharing in the opportunities and benefits of society.

Answers

Answer:

life chances , the last answer on edge

Explanation:

The likelihood that individuals have of sharing in the opportunities and benefits of society are called: life chances.

What are life chances?

Life chances can be defined as the likelihood or probabilities that individuals living within a specific society (geographical location) have of sharing in the opportunities and benefits that are available.

This ultimately implies that, life chances is a measure of the opportunities and benefits of society that are likely to be shared by all individuals living within a specific society.

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in order to produce a new product, a firm must lease equipment at a cost of $50,000 per year. the managers feel that they can sell 10,000 units per year at a price of $35. what is the highest variable cost that will allow the firm to at least break even on this project?

Answers

Answer:350000

Explanation:

if you do simple math and do the problem 10000 X 35=350000 that is the end of the question since it is asking you to find the HIGHEST variable cost

a manager is going to purchase new processing equipment and must decide on the number of spare parts to order with the new equipment. the spares cost $200 each, and any unused spares will have an expected salvage value of $50 each. the probability of usage can be described by the following distribution: number 0 1 2 3 probability .1 .5 .25 .15 if a part fails and a spare is not available, two days will be needed to obtain a replacement and install it. the cost for idle equipment is $500 per day. what quantity of spares should be ordered and what is the corresponding expected cost?

Answers

Answer:

It will  cost  the manager $750

Explanation:

Name 4 types of nonrewable and 6 renewable energy resources

Answers

Answer:

Renewable:

1. Wind

2. Solar

3. Hydro

4. Biomass

5. Tidal

6. Geothermal

Nonrenewable:

1. Oil

2. Natural Gas

3. Coal

4. Nuclear energy

True or false: The bus driver is acting like a tourist. True False

Answers

Answer:

True

Explanation:

Edge 2022

the advantages of electronic data interchange are no longer limited to large companies, because even small firms can exchange and process data such as orders, invoices, and payments using

Answers

Answer:

B. An extranet

Explanation:

An extranet is a private network that uses internet access to share part of its business information or operations with customers, distributors, and so on. It grants access to customers, distributors, vendors, and so on to the network without granting them access to the entire organization's network. So data such as invoices, orders made by third parties can be done on the organization's network without giving them full access to the entire network with the help of an extranet.

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which role is the president performing when he or she lays a wreath during memorial day ceremonies at arlington national cemetery?

Answers

Catamara firkin finance salami Marian Reno C slash concerto Rachel jailing kick x concerto Buck ns

Give at least one short-term goal (something you would like to accomplish by the end of the second nine weeks).


Give at least one long-term goal (something you would like to accomplish by the end of the school year).


How do you plan to achieve these goals?

Answers

Answer:

choose your own goals not someone elses just tell what you want to achieve in life

Explanation:

Answer:

nice

Explanation:

You need to be sure of your goals are

A ________ is a membrane-bound sac found in cells that contains digestive enzymes which break down complex molecules or structures. Question 13 options: Chloroplasts Mitochondrion Lysosomes Vacuole

Answers

Answer:Lysosomes

Explanation:

membrane-enclosed organelles that contain an array of enzymes capable of breaking down all types of biological polymers—proteins, nucleic acids, carbohydrates, and lipids.

Which represents the solution(s) of the system of equations, y = –x2 6x 16 and y = –4x 37? Determine the solution set algebraically. (3, 25) (–3, 49) (3, 25) and (7, 9) (–3, 49) and (–7, 65)

Answers

7 x4= 28 _e4i (da igual wey)

Answer:

c

Explanation:

n= 30 x= 89.3 s=18.9 90 percent

Answers

Answer:

0

Explanation:

A writer should use a(n) pronoun to show ownership.

Answers

Answer:   Possessive.

Explanation: A writer should use a(n) { Possessive }  pronoun to show ownership.

A writer should use a possessive pronoun to show ownership.

What is a pronoun?

A pronoun is one of the parts of speech in English language and it can be defined as a word that is used to replace a noun in a sentence.

The types of pronoun.

In English language, there are seven types of pronouns and these include:

Personal pronounsRelative pronounsReflexive pronounsIndefinite pronounsDemonstrative pronounsInterrogative pronounsIntensive pronounsPossessive pronouns

Generally, a writer should use a possessive pronoun to show ownership such as mine, ours, yours, etc.

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what was the purpose of the missouri compromise brainly

Answers

The purpose of the Missouri Compromise was to keep a balance between the number of slave states and the number of free states in the Union. It allowed Missouri to enter as a slave state at the same time Maine entered as a free state, thus maintaining a balance in numbers of free and slave states.

Read the second stanza of "Some Keep the Sabbath Going to Church." Some keep the Sabbath in Surplice – I just wear my Wings – And instead of tolling the Bell, for Church, Our little Sexton – sings. What is the effect of the word "surplice," which is a garment worn by the clergy, in this stanza? It reinforces the difference between the natural things the speaker holds dear and the rituals of the church. It reinforces the poet’s belief that most people feel the need to attend church. It reinforces the poet’s authority by suggesting that she knows quite a bit about religious rituals. It reinforces the speaker’s view that great mystery lies at the heart of most religious rituals.

Answers

The effect of the word "surplice," which is a garment worn by the clergy, in this stanza is:

A. It reinforces the difference between the natural things the speaker holds dear and the rituals of the church

According to the given question, we can see that the author talks about the religious rituals which occurs when people go to church and put on clergy garments when in church.

As a result of this. we can see that the effect of this word in the stanza is that it shows the difference between the natural things and the spiritual rituals of the church.

This is because, the narrator further shows the bells, the little Sexton and the Surplices which are all used in the church and how she spends her Sabbath at home with her wings.

Therefore, the correct answer is option A

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Answer:

A

Explanation:

how does technology contribute to the development of art like photography

Answers

Answer:

Technology has positively impacted the development of photography in many ways such as the increase in quality images and videos because of advancements in digital cameras.

We all can attest to the increase in clearer images and videos in recent times, this is as a result of technological advancements in digital cameras and mobile phones over the years.

In the past, film was used as the main content of photography, but with recent technological advancements, photography now uses electronic technology to achieve better images.

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Miss Hawaii

damage to the cerebellum would be most likely to interfere with a person's ability to develop

Answers

Damage to the cerebellum would be most likely to interfere with a person's ability to develop: Classically conditioned association

Cerebellum is an important part of the human brain and a damaged cerebellum can occur due to brain injury.

In ability to develop Classical conditioned association occur when a person find it difficult to learn or response to unconditioned stimulus despite been exposed to conditioned stimulus and this may occur as a result of damage to cerebellum.

Damaged Cerebellum can as well lead to  loss of speech and alexia or loss of muscular coordination which occur when  the affected person  find it hard to walk or pick things as they have loss total control of the muscles in their legs, hands or fingers.

Inconclusion Damage to the cerebellum would be most likely to interfere with a person's ability to develop: Classically conditioned association

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what is the most important thing that you need to consider in writing an essay?

Answers

Answer:

It depends. (check explanation)

Explanation:

To be honest, it depends on the essay you're writing. If it's a persuasive essay, then you need to focus on making your points solid and undebatable. If it's a research essay, you need to focus on citing a lot of sources. However, one thing needs to be in common in all your essays that teachers look for. Evidence. Evidence is key to developing your essay and making strong points. Most teachers look for evidence in your paragraphs and they will make your writing much more professional and give you a base to build your ideas off of. I hope this helped, please let me know if you have any further questions. :))

the dimensions of a rectangular solid are measured to be 1.27 cm, 1.3 cm, and 2.5 cm. the volume should be recorded as

Answers

The Volume of the rectangular solid should be recorded as 4.1275 cm³

A rectangular solid is a three dimensional shape with six rectangular faces  placed perpendicularly to one another.

The volume of a rectangular solid = length * width * height

Given the dimensions of a rectangular solid as 1.27 cm, 1.3 cm, and 2.5 cm, its volume is:

Volume of the rectangular solid = 1.27 cm * 1.3 cm * 2.5 cm = 4.1275 cm³

The Volume of the rectangular solid should be recorded as 4.1275 cm³

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a 15.0 kg block is attached to a very light horizontal spring of force constant 575 n/m and is resting on a smooth horizontal table (figure 1). suddenly it is struck by a 3.00 kg stone traveling horizontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00 m/s horizontally to the left.

Answers

The instantaneous velocity of the 15 kg. mass just after collision can be found by the principle of linear momentum.

a) The speed of the 15 kg. just after collision is 2 m/s.

b) The type of collision is inelastic collision

c) The compression of the spring is approximately 0.323 m.

Reasons:

The given parameters are;

Mass of the block attached to the spring, m₁ = 15.0 kg

Force constant of the spring, K = 575 N/m

Mass of the stone that strikes the block, m₂ = 3.00 kg

Speed of the stone, v₂ = 8.00 m/s

Speed with which the stone rebounds, v₃ = 2.00 m/s

a) The total initial momentum = 3 kg. × 8 m/s = 24 kg·m/s

The final momentum, just after collision = 3 × (-2) kg·m/s + 15 kg ×v₁

By conservation of momentum, we have;

24 kg·m/s = 3 × (-2) kg·m/s + 15 kg ×v₁

[tex]v_1 = \dfrac{24 \, kg \cdot m/s + 6 \, kg \cdot m/s}{15 \, kg} = 2 \, m/s[/tex]

The speed of the 15 kg. just after collision, v₁ = 2 m/s.

b) A collision is elastic when the kinetic energy of the collision is conserved

The initial kinetic energy, K.E.₁ = 0.5 × 3 kg. ×(8 m/s)² = 96 J

The sum of the final kinetic energy are;

0.5 × 3 kg. ×  (2 m/s)² + 0.5 × 15 kg ×  (2 m/s)² = 36 J

The initial kinetic energy ≠  The final kinetic energy

Therefore, the collision is not elastic

(c) The kinetic energy given by the block = The elastic potential energy gained by the spring

Kinetic energy of the block, K.E. = 0.5 × 15 kg ×  (2 m/s)² = 30 J

Elastic energy gained by the block = 0.5 × K × x² = 0.5 × 575 N/m × x²

Therefore;

0.5 × 575 N/m × x² = 30 J

[tex]x^2 = \dfrac{30 \, J}{0.5 \times 575 \, N/m} = \dfrac{12}{115} \, m^2[/tex]

[tex]x = 2 \cdot \sqrt{\dfrac{3}{115} } \approx 0.323[/tex]

The compression of the spring, x ≈ 0.323 m.

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Questions;

(a) The speed of the 15 kg mass immediately after the collision.

(b) Determine the type of collision; Elastic or inelastic collision.

(c) The distance to which the spring is compressed by the block.

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