Two sides of the triangle are 13 and 51. what is the range of the length of the 3rd side?

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Answer 1

The range that the third side of the given triangle will fall within is: 38 < 3rd side <64.

How to Find the Range of a Side of a Triangle?

If we are given two sides of a triangle, to find the range of the possible length of the third side, simply add both given sides and subtract both given sides to get the range the length of the third side will fall in.

Given a triangle has lengths, 13 and 51, the possible length of the third side would be:

51 - 13 = 38

51 + 13 = 64

Range would be, 38 < 3rd side <64.

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Related Questions

An object moves up and down the y-axis with an acceleration

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it was so great question

What is the variance of the data? 0.0625 0.25 0.5 1.5

Answers

The variance of the dataset is the square of their standard deviation

The variance of the dataset is 0.307

How to determine the variance?

The dataset is given as;

0.0625 0.25 0.5 1.5

Calculate the mean using:

μ = Sum/Count

So, we have:

μ = (0.0625 + 0.25 + 0.5 + 1.5)/4

Evaluate

μ = 0.578125

The variance is then calculated using:

[tex]\sigma^2 = \frac{\sum(x - \mu)^2}{n}[/tex]

So, we have:

[tex]\sigma^2[/tex] = [(0.0625 - 0.578125)^2 + (0.25 - 0.5781250^2 + (0.5 - 0.578125)^2 + (1.5 - 0.578125)^2]/4

Evaluate

[tex]\sigma^2[/tex] = 1.2294921875/4

Divide

[tex]\sigma^2[/tex] = 0.30737304687

Approximate

[tex]\sigma^2[/tex] = 0.307

Hence, the variance of the dataset is 0.307

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A data set includes body temperatures of healthy adult humans having a mean of f and a standard deviation of f. construct a ​% confidence interval estimate of the mean body temperature of all healthy humans. what does the sample suggest about the use of 98.6f as the mean body​ temperature?

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What the sample suggests is that; the mean body temperature couldvery possibly bevery possibly be 98.6 °F.

What is the Confidence Interval?

For a 99% Confidence Interval and DF = 103 - 1 = 102, the value of z = 2.33.

The formula for confidence interval is;

CI = x⁻ ± z(σ/√n))

We are given;

Sample mean; x⁻ = 98.9

standard deviation; σ = 0.67

sample size; n = 103

Thus the confidence Interval is;

CI = [98.9 - 2.33(0.67/√103)], [98.9 + 2.33(0.67/√103)]

CI = (98.9 - 0.154, 98.5 + 0.154)

CI = (98.36, 98.64)

Thus, 98.6 is contained within the 99% CI,and so we can conclude that the the mean body temperature could very possibly bevery possibly be 98.6 °F.

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identify all of the following statements about civil cases that are accurate.

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The statements about civil cases that are accurate include the following:

The plaintiff and defendant are often private parties.The final court remedy is compensation for the violation of legal rights.The dispute is detailed in a complaint against the person accused of causing harm.

What is a Civil case?

this is the type of case which involves private individuals or organizations suing each other in court.

The correct and most appropriate statements about civil cases can be seen written above.

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How much energy is required to vaporize 41. 4 g of dichloromethane (ch 2cl 2) at its boiling point, if its δh vap is 31. 6 kj/mol?

Answers

Answer: 15.4 kJ

Explanation:

Molar mass of CH2Cl2,

MM = 1*MM(C) + 2*MM(H) + 2*MM(Cl)

= 1*12.01 + 2*1.008 + 2*35.45

= 84.926 g/mol

Mass(CH2Cl2) = 41.4 g

Use:

number of mol of CH2Cl2,

n = mass of CH2Cl2/molar mass of CH2Cl2

= (41.4 g)/(84.93 g/mol)

= 0.4875 mol

Given:

ΔH = 31.6 KJ/mol

= 31600 J/mol

Use:

Q = ΔH * number of mol

= 31.6 KJ/mol * 0.4875 mol

= 15.4 KJ

Therefore, it takes 15.4 kJ of energy to vaporize 41. 4 g of CH₂Cl₂ at its boiling point

A buffer is made with sodium acetate and acetic acid

Answers

Answer:

Because Water is not a buffer solution and the acetic acid/acetate solution is a buffer solution. An acidic buffer is a solution of a weak acid (acetic acid) and its conjugate base pair (sodium acetate) that prevents the pH of a solution from changing drastically through the action of each component with incoming acid or base.

Most early religious traditions can be categorized as

Answers

Answer:

Wrong lol jk

Explanation:

here is your answer- Polytheistic. Like Greek gods, or Egyptian god's

Which line from the text suggests the president believes the war effort has had successes but is not quite complete? al-qaida is wounded, not destroyed. free nations will press on to victory. americans, following a battle, want nothing more than to return home. your families are proud of you, and your nation will welcome you.

Answers

The excerpt has been from the speech of President George Bush in Iran in 2003. The text that represented the war is not complete is that Al-Qaeda is wounded, and it is not destroyed by time.

What was Al-Qaeda?

Al-Qaeda has been the militant organization founded by Osama bin Laden in twentieth century. The aim of the organization was the development of the Islam religion in the world and destroying the western civilization.

The speech delivered by President Bush represents the defeat of the Al-Qaeda; however, he mentioned that the war was unable to destroy the organization with the statement that the organization is only wounded. Thus, option A is correct.

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Which describes the purpose of the yalta conference brainly

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Answer: Leaders from the United States, Soviet Union, and Great Britain met to discuss a post-World War II peace.

Explanation: The original answer choices to this question are:

A. Leaders from Germany, Italy, and Japan convened to determine how to pay reparations for their contributions to World War II.

B. German and Japanese leaders convened to strategize on how to best defeat the Allies.

C. German leaders met to discuss the terms of their surrender to the Allied troops.

D. Leaders from the United States, Soviet Union, and Great Britain met to discuss a post-World War II peace.

The three countries I noted in my answer above came together to discuss how to bring peace once more and how to deal with Germany, who was ultimately defeated at the end of World War II.

Read the excerpt from act 2, scene 1, of julius caesar. [brutus.] th’ abuse of greatness is when it disjoins remorse from power. and to speak truth of caesar, i have not known when his affections swayed more than his reason. but 'tis a common proof that lowliness is young ambition’s ladder, whereto the climber-upward turns his face; but when he once attains the upmost round, he then unto the ladder turns his back, looks in the clouds, scorning the base degrees by which he did ascend. so caesar may. then lest he may, prevent. and since the quarrel will bear no colour for the thing he is, fashion it thus: that what he is, augmented, would run to these and these extremities; and therefore think him as a serpent’s egg which, hatched, would as his kind grow mischievous, and kill him in the shell. which quotations support the central idea that brutus thinks caesar is dangerous and needs to be killed before he becomes even more dangerous? select three options.

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The quotations which support the central idea that brutus thinks caesar is dangerous and needs to be killed before he becomes even more dangerous are:

A) And to speak truth of Caesar, / I have not known when his affections swayed / More than his reason.”D) “And since the quarrel / Will bear no colour for the thing he is”E) “And therefore think him as a serpent’s egg / Which, hatched, would as his kind grow mischievous, / And kill him in the shell.”

Who was Julius Caesar?

Julius Caesar was a Roman politician who was known for his conspirator against Julius Caesar.

The act 2, scene 1, of the Julius Caesar is given in the problem. In this scene, Brutus paces back and forth in the garden.

In this scene, he thinks Caesar is dangerous and needs to be killed. The quotations provided in option A, D and E suggest the central idea for the same.

Thus, the quotations which support the central idea that Brutus thinks Caesar is dangerous and needs to be killed before he becomes even more dangerous are:

A) And to speak truth of Caesar, / I have not known when his affections swayed / More than his reason.”D) “And since the quarrel / Will bear no colour for the thing he is”E) “And therefore think him as a serpent’s egg / Which, hatched, would as his kind grow mischievous, / And kill him in the shell.”

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Answer:

A D E

Explanation:

Write true if the statement is correct and false if it is not

Answers

Answer:

ok ok ok ok ok ok ok ok ok ok

How many moles are there in 4.9x 1023 molecules of co2?

Answers

Answer:Mass =

no. of molecules / 6.023 * 10^ 23 * Molar mass

Explanation:

Molar mass of CO2 = 44g/mol1.5⋅10256.023⋅1023 = 51.5 moles of CO2 51.5⋅44g/mol=2266grams

Hope this helped

What two reasons does lincoln give for launching military action against the south

Answers

Answer:

A) to guarantee that every state continues to have a republican form of government, as
promised by the Constitution
D)to preserve a governmen;,dedicated to giving each citizen a fair chance

Explanation:

i got it right on my test:) sorry if it’s wrong bc i can’t see the answer choice

A software developer wants to add a new feature to an existing application operating in the cloud, but only wants to pay for the computing time the code actually uses when it is called. which term describes this feature of computing? elasticity multitenancy pooled resources serverless computing i don't know this yet.

Answers

The feature that describes the given feature of computing of the software developer is; Pooled Resources

What is Resource Pooling?

Resource Pooling is defined as a term that is used when cloud providers offer provisional and scalable services to a lot of their clients or customers.

In this question, space and resources are said to be pooled to serve a lot of clients at one time. Thus, with respect to the client's resource consumption, usage is often set to give more or less at any specific time.

Thus, the computing feature here is called resource pooling.

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Find a cartesian equation for the curve and identify it. r2 cos(2î¸) = 1

Answers

The Cartesian equation for the curve and identify it. r² cos(2 Θ ) = 1 is

x² - y² = 1.

What is a Cartesian equation?

A Cartesian equation for a curve is one that is only expressed in terms of x and y.

To find the Cartesian equation for the curve

Since,  [tex]\rm cos^2 \theta =2cos2\;\theta - 1[/tex], then

[tex]r^2cos2 \theta = 2^r2cos2 \theta\\\\ r^2=2(rcos \theta)2 -r^2 =2 \times 2 - (x^2+y^ 2) = x^2 - y^2,[/tex]

So the Cartesian curve is x² - y² = 1, which is a hyperbola having the lines y= ±x as asymptotes.

Thus, the Cartesian equation for the curve and identify it. r² cos(2 Θ ) = 1 is x² - y² = 1.

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What is 36 minutes as a fraction of 1 hour simplify

Answers

Answer:

0.600 simplified is 35

_________ is focusing on something specific in the environment. a. attention b. stimuli c. memory d. rehearsal

Answers

I’m not 100% sure but I think it would probably be option (A)

Select the correct answer. which word correctly completes this sentence? el _____________ memoriza los diálogos para la obra de teatro. a. tramoyista b. director c. actor d. bailarina

Answers

C. Actor

Explained:
The sentence says the_____ memorized the dialogues for the work of theater.

What is the main similarity between "the wife-woman" and frost’s poem "mending wall"? both use humorous language. Both use iambic pentameter. Both use blank verse. Both use strict meter

Answers

Answer:

D on edge both use strict meter

Explanation:

The main similarity between "the wife-woman" and frost’s poem "mending wall is; Both Use Strict Meter

What is the Poem Meter?

The three major types of poetry are:

1) Formal Verse Poetry; This is the poetry that has a rigid meter and rhyme pattern.

2) Blank verse poetry; This is the type of poetry that has a tight meter but no rhyme system.

3) Free Verse Poetry; This is the Poetry that lacks a strict meter or rhyme pattern.

In this given question, both of the poems don't rhyme with every line and has a tight meter. Thus, Both use strict meter

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A) identify one argument that barton makes in the passage.

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An argument that Gregory Barton made is that historians can't recreate a new history because they don't want Britain to be a central point for world history.

What is an argumentative essay?

An argumentative essay refers to a literary work that is mainly written to express and show a writer's or an author's position (stance) on a subject matter, topic, event, idea, history, etc.

Based on "The British Model of World History" which was written by Gregory Barton, he strongly argued that historians can't recreate a new history because they don't want Britain or Europe to be a central point for world history.

Additionally, he opined that such behaviors and acts by any historian would only vandalize history.

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A rectangular garden is to be constructed using a rock wall

Answers

Use length times with

Any action that causes harm to your computer is called a

Answers

Answer:

Security risk.

Explanation:

For which distributions is the median the best measure of center?

Answers

Answer:

When the data set is skewed

A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviation was 2.7. assuming a 90% confidence level, the margin of error is approximately

Answers

Answer:

Assuming a 90% confidence level, the margin of error is approximately

0.3

Which of the following gives the confidence interval?

between 20.3 and 20.9

Explanation:

A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviation was 2.7, the margin of error is approximately 0.2948.

What is standard deviation?

Standard deviation is a statistical measure that describes the amount of variation or dispersion of a set of data values.

It measures the average amount of deviation of each data point from the mean (or average) of the entire dataset.

To find the margin of error for a sample mean, we use the formula:

Margin of error = z * (standard deviation / sqrt(sample size))

where z is the z-score corresponding to the desired confidence level. For a 90% confidence level, the z-score is 1.645 (we can look this up on a standard normal distribution table).

Plugging in the values given in the problem:

Margin of error = 1.645 * (2.7 / sqrt(225))

                 = 1.645 * (2.7 / 15)

                 = 0.2948 (rounded to four decimal places)

Therefore, the margin of error is approximately 0.2948.

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Is this statement true or false? the 54th massachusetts regiment did not change northern attitudes about blacks' ability to fight. true false

Answers

It is a false statement that the 54th Massachusetts Regiment changed Northern attitudes about blacks'ability to fight.

Who were the 54th Massachusetts Regiment?

It was an infantry regiment that fought for the Union force against the confederates force in the American civil war.

The member of the regiment includes both white and blacks who are praised for their bravery and fierce fighting against Confederate forces.

In conclusion, this regiment most celebrated regiment made up of blacks that fought in the civil war.

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The company wants to use the package that has the least amount of wasted space. The company should choose the prism because it has approximately 11. 6 in. 3 less wasted space than the cylinder. The prism because it has approximately 14. 1 in. 3 less wasted space than the cylinder. The cylinder because it has approximately 11. 6 in. 3 less wasted space than the prism. The cylinder because it has approximately 14. 1 in. 3 less wasted space than the prism

Answers

Volume is a three-dimensional scalar quantity. The company should choose the cylinder because it has approximately 11.6in³ less wasted space than the prism.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the two balls with a radius of 1.5 inches is,

[tex]=2 \times \dfrac43 \times \pi r^3 \\\\= 28.2743\rm\ in^3[/tex]

The Volume of the prism with dimensions 6in × 3in × 3in are,

Volume of the prism = 6in × 3in × 3in = 54 in³

The volume of the cylindrical box with a radius of 1.5 in and a height of 6 inches is,

Volume of Cylinder = πr²h = π × (1.5)² × 6 = 42.4115 in³

Wasted volume in Prism, when two balls are inside,

Wasted Volume = 54in³ - 28.27in³ = 25.72566 in³

Wasted Volume in Cylinder, when two balls are inside,

Wasted Volume = 42.4115in³ - 28.27in³ = 14.137 in³

The difference in the waste volume of prism and cylinder,

Difference = 25.72566in³ - 14.137in³ = 11.6in³

Hence, The company should choose the cylinder because it has approximately 11.6in³ less wasted space than the prism.

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The community reinvestment act of 1977 succeeded in reducing discrimination against banks. Helping to improve the economy. Reducing discrimination against borrowers. Lowering interest rates charged by banks

Answers

Answer:

C. reducing discrimination against borrowers

Explanation:

Community Reinvestment Act The Community Reinvestment Act (CRA) was enacted in 1977 to prevent redlining 1 and to encourage banks and savings associations (collectively, banks) to help meet the credit needs of all segments of their communities, including low- and moderate-income neighborhoods and individuals.

I think this is the answer I'm not sure it correct though so please do let me know if its not.

The community reinvestment act of 1977 succeeded in reducing discrimination against banks reducing discrimination against borrowers. Thus option B is correct.

What is community reinvestment act ?

The Community Reinvestment Act of 1977 is otherwise named as  "United States federal law designed to encourage commercial banks and savings associations and it help to meet the needs of the borrowers in all the segments of their communities which include low and moderate-income neighborhoods."

This act  was essentially created  based on low-income neighborhoods. to stop discrimination,  prevent redlining 1 and to encourage banks and savings associations  and meet the credit needs of all segments of their communities like low- and moderate-income neighborhoods .

This act are prevalent among the low income group of people and can be encouraged the commercial banks and financial institutions to lend money as loan to the low and middle income group of people.

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Part of your company’s accounting database was destroyed when godzilla attacked the city. you have been able to gather the following data from your files. reconstruct the remaining information using the available data. all of the raw material purchased during the period was used in production.

Answers

The company’s accounting database shows that the actual quantity used per unit is 3 pounds per unit.

How to calculate the actual quantity used per unit?

From the information given, the actual unit used per output will be calculated thus:

= Actual quantity used / Actual output.

= 30000/10000

= 3 pounds per unit

In conclusion, the correct option is 3 pounds per unit.

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Models help in demonstrating a process visually, even when we cannot observe the process. Draw a model that depicts the effect of your chosen activity on ocean ecosystems. Make sure to clarify each step so that even people unfamiliar with the problem can understand it. The model should be based on your own ideas and designs. It should not be copied from the web

Answers

A model that can be used to depict the ecosystem will be:

Salmon - Sculpin - Mollusc - Green algae.

What is a model?

It should be noted that a model simply means a representation of a particular thing. It's used to demonstrate a process.

In this case, a model that can be used to depict the ecosystem will be:

Salmon - Sculpin - Mollusc - Green algae.

The trophic level is from the tertiary consumer to the secondary consumer to primary consumer and the algae is the producer.

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Decide if the following sentence is grammatically correct or incorrect. está bien por ahora. correct incorrect

Answers

Answer:

That is correct

está bien por ahora is grammatically correct.

What is Grammar?

A natural language's grammar is a system of structural rules that limit how sentences, phrases, and words can be put together by speakers or writers.

The phrase can also be used to describe the study of such restrictions, a subject area that covers phonology, morphology, and syntax as well as the frequently added fields of phonetics, semantics, and pragmatics. Traditional grammar and theoretical grammar are the two methods now used to study grammar.

These limitations, the bulk of which - at least in the case of one's native language(s) - are acquired not by conscious study or instruction but rather by hearing other speakers, have successfully been internalized by fluent speakers of a linguistic variation or lect.

Therefore, está bien por ahora is grammatically correct.

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What characterizes the period of life represented by the soldier? (NOT C)"The Seven Ages of Man"by William ShakespeareAll the worlds a stage,And all the men and women merely players;They have their exits and their entrances;And one man in his time plays many parts. His acts being seven ages. At first the infant,Mewling. . . In the nurses arms. And then the whining schoolboy, with his satchelAnd shining morning face. . . And then the lover,Sighing like a furnace. . . Then a soldierFull of strange oaths. . . Jealous of honor,Sudden and quick in quarrel. . . And then the justice. . . Full of wise saws and modern instances;And so he plays his part. The sixth age shiftsInto the lean and slippered pantaloon. With spectacles on nose and pouch on side. . . . And his big manly voice, Turning again towardChildish treble, pipes and whistles in his sound. Last scene of all,That ends this strange eventful history,Is second childishness, and mere oblivion,Sans teeth, sans eyes, sans taste, sans everything. a. ) brash (bold/rude) behaviorb. ) his fear of cowardicec. ) his sense of honord. ) his dedication to duty The fox population in a certain region has an annual growth rate of 5 percent per year. It is estimated thatthe population in the year 2000 was 28400.(a) Find a function that models the population t years after 2000 (t = 0 for 2000).Your answer is P(t)=(b) Use the function from part (a) to estimate the fox population in the year 2008.Your answer is (the answer should be an integer) Is language a tool for thought or a tool for communication Tell whether the ordered pair is a solution of the linear system. (4, -1) x + 2y = 2 x - 2y = 6 Eisenhowers concerns expressed in the excerpt emerged most directly from the context of the. a. The flow of energy from Earth's interior to the surface is about 50 terawatt (1 terawatt = 1e12 joule/sec). This is the energy that gives Earth an active surface geology (hot springs, volcanoes, plate tectonics, etc). Roughly half of this geothermal is from the energy produced by radioactive decay, and roughly half is from the energy left from the formation of the hot Earth.Estimate how much geothermal energy reaches Earths surface in one day (in Joule).b. Estimate humanitys current consumption of energy in one day (in Joule).c.Assuming 100% efficiency of extracting geothermal energy, estimate the ratio of geothermal energy to human's current annual world consumption of energy. solve for x : -172 = -11x + 4 Please write the correct answer and measure the bat please How are letters of credit different from secured transactions?A. A letter of credit tells a prospective seller how much you can buy.A secured transaction provides the bank with assurance ofrepayment.B. There is no difference because the bank benefits in both cases.C. A letter of credit is covered in Article 9 and a secured transactionis covered in Article 5 of the UCC.D. A letter of credit is sent from the seller to the buyer and a securedtransaction means the seller must ship the product.SUBMIT What best exemplifies Randolph Bournes statement that war unleashed the "least democratic forces in American life"? a. Ratification of the Nineteenth Amendment b. Passage of the Sedition Act c. Creation of a draft board d. The application of the War Industries Board e. Passage of the Sixteenth Amendment Question 7 of 10How many different roots does the polynomial function, y = (x - 2)(+3)have?O A. 4B. 3O c. 2OD. 1SUBMIT Kim caught a fish that was 9/10 of a meter long. Doug caught a fish that was 2/3 as long as kim's fish use this dataset for the next three questions: 5, 10, 12, 4, 6, 11, 13, 5 1. Calculate the mean. 2 Ultimate Medical Academy.calculate the mean PLEASE HELP FAST how has immigration in the US stayed the same over time ? Please hurry... Have a blessed day! What was the biggest cause of the great depression?. Which situation best illustrates the concept of absolute advantage?A. The total value of Japanese imports is greater than the total valueof the country's exports. B. A French restaurant buys food from nearby farms to support thelocal economy. C. Most of the world's largest companies have operations in manydifferent countries. D. A German factory can build more sports cars than foreignfactories. A pizza dough recipe has a ratio of 5 cups of flour to 2 cups of water. There are ?cups of flour per cup of water What type of software permits a user to record video of what is occurring on the computer along with typed and cursor actions in order to create a lesson Organizations, themselves, can set up ______ as an additional way to control abuse. strengths and behaviors unilateral power norms and values dignitaries