The length of the hypotenuse of a right triangle is 16 inches. If the length of one leg is 5 inches, what is the approximate length of the other leg? 10.5 inches 11.0 inches 15.2 inches 16.8 inches

Answers

Answer 1

Answer:

[tex] \boxed{15.2\: \: inches}[/tex]

Explanation:

Hypotenuse ( h ) = 16 inches

base ( b ) = 5 inches

perpendicular ( p ) = ?

Now, Using the Pythagoras theorem

[tex] \mathsf{{h}^{2} = {p}^{2} + {b}^{2} }[/tex]

[tex] \mathsf{ {p}^{2} = {h}^{2} - {b}^{2} }[/tex]

plug the values

[tex] \mathsf{ {p}^{2} = {16}^{2} - {5}^{2} }[/tex]

Evaluate the power

[tex] \mathsf{ {p}^{2} = 256 - 25}[/tex]

Add the numbers

[tex] \mathsf{ {p}^{2} = 231}[/tex]

Squaring on both sides

[tex] \mathsf{ p = 15.19}[/tex]

( Approximately 15.2) inches

Extra information

Pythagoras Theorem

The adjoining triangle is a right angled triangle ABC right angled at B. The side AC opposite to the right angle is called it's hypotenuse. Similarly, the sides AB and BC are called the perpendicular and the base respectively.

Pythagoras was a Greek Mathematician who loved around 500 B.C. and discovered a significant fact about right - angled triangles known as 'Pythagoras Theorem' .

The square of the hypotenuse of a right -angled triangle is equal to the sum of the squares of the remaining two sides.

( See attached picture )

Hope I helped!

Best regards!

The Length Of The Hypotenuse Of A Right Triangle Is 16 Inches. If The Length Of One Leg Is 5 Inches,

Related Questions

topic about the life of Jeremiah 1 page(will get brainiest and 5 stars and thx)

Answers

Answer:

Jeremías, Miguel Ángel, 1509.

Jeremías (Anatoth, Judea 650 a.C. - Daphnae, Egipto 585 a.C.) fue un profeta hebreo, hijo del sacerdote Hilcías. Jeremías vivió entre el 650-585 a.C. en Judá, Jerusalén, Babilonia y Egipto. Fue coetáneo de Ezequiel y anterior a Daniel.

Llamamiento y misión

Es autor del volumen de la Biblia conocido como el Libro de Jeremías. Se le atribuye a él la autoría de los libros de los Reyes y del Libro de las Lamentaciones. La labor de Jeremías el profeta fue llamar al arrepentimiento al reino de Judá y, principalmente, a los reyes Josías, Joacim (también llamado Joaquim), Joaquín1​ y Sedecías (también llamado Sedequías), debido al castigo impuesto por Yahvéh de que serían conquistados por los caldeos si no volvían su corazón hacia Dios. Su vida, como profeta, se caracterizó por soportar con una inquebrantable entereza los múltiples apremios y acusaciones que sufrió a manos de estos reyes y de los principales de Israel, desde azotes hasta ser abandonado en estanques o arrojado a las mazmorras.

La mayoría de sus profecías fueron escritas en rollos por el escriba Baruc, hijo de Nerías quien le acompañó en una buena parte de su misión.

Con sus profecías sobre la invasión de los "pueblos del norte" (Babilonia) desafió la política y el paganismo de los reyes de Judea, Joaquim y Sedecías y anunció el castigo de Yahvéh por la violencia y corrupción social, que rompían la alianza con Dios: Hablan de paz, pero no hay paz, escribió.

Según Jeremías,2​ la primera versión de su libro profético fue destruida a fuego por el rey Joaquim, bajo cuyo gobierno el profeta vivió en continuo peligro de muerte. La persecución contra Jeremías se acrecentó bajo el mandato de Sedecías. Este, a pesar de reconocerlo como portador de la palabra de Dios, lo trató con crueldad y lo acusó de espía de los babilonios, consecuencia de proclamar que Judá sería destruida si no se arrepentía de sus pecados y de no retomar la alianza con Yavhé. Jeremías llegó a lamentarse por su destino, pero finalmente decidió continuar su misión profética.3​

Jeremías llamó a liberar a los esclavos como muestra de conversión. En principio, su llamamiento fue acatado, aunque luego los amos volvieron a privar de la libertad a los que habían sido liberados. Esta actitud fue considerada por el profeta como el sello del destino que sobrevendría al reino Judá, de Sedequías y de Jerusalén.4​ El anuncio de la derrota de Judea fue acompañado, además, por la profecía sobre la futura destrucción de Babilonia,5​ y la instauración de la Nueva Alianza.

En el año 587 a. C. Nabucodonosor derrotó a los judíos, llevó cautivos a los notables, esclavizó a miles de personas, ejecutó a los hijos del rey en su presencia y luego le arrancó los ojos y lo llevó cautivo a Babilonia. En esa incursión, los babilonios destruyeron el Templo de Jerusalén. Únicamente los pobres fueron respetados y Jeremías se retiró a Mizpah y luego a Egipto. Nabucodonosor además protegió a Jeremías sacándolo de la prisión de Ramá (Belén) donde estaba encadenado junto a los principales cautivos de Jerusalén y Judá para que viviera entre los caldeos, este hecho lo llevó a ser tratado como un traidor y espía de los babilonios. Muchos judíos huyeron a Egipto y fueron también parte de las profecías de Jeremías.

Los otros hechos en la vida de Jeremías están narradas en los Paralipómenos de Jeremías6​ escritos por el Pseudo-Baruc.

Explanation:

What did modern democracies learn from the Romans?

how to limit a ruler's power by establishing a constitutional monarchy

to maintain a lasting government, allow only the rich and powerful to make and enforce laws for all the citizens

how to safeguard against tyranny by dividing the government's power among different parts

how to protect the rights of citizens by allowing the leaders to have absolute power

Answers

Answer:   C. how to safeguard against tyranny by dividing the government's power among different parts

Tell me what you know about 1.) arguments, 2.) claims, 3.)counterclaims, and 4.) evidence
's

Answers

Answer:

1. Arguments are the specific point or outlook you are advocating for to your audience

2. Claims are points you use to support your argument.

3. Counterclaims are points that the opposing side uses to disprove your arcument.

4. Evidence are either facts, information, or logic that you can use to provide a firm buttress to your argument

Hope this helps :)

Explanation:

Parties sometimes try arbitration before a case goes to trial in order to:
A. allow a jury to decide the case rather than a judge.
B. change the burden of proof to a preponderance of the evidence.
C. find more evidence to support their case in court.
D. guarantee that the case will be settled out of court.

Answers

Answer:

The correct answer is

Explanation:

Find more evidence to support their case in the court. I am a 100% sure of the answer.

Hope this helps....

Have a nice day!!!!

Answer:

Guarantee that the case will be settled out of court.

Who were Sam Houston and General Santa Anna?

Answers

Samuel Houston was an American statesman, politician and soldier. Born in the American state of Virginia, he was governor of the state of Tennessee. Houston was a key figure in the history of Texas, having a large share in the independence of that state of Mexico.

Better known as Santa Anna or López de Santa Anna, and nicknamed "the Napoleon of the West", he was a Mexican politician and military man who considerably influenced the government and ..

I hope this helps:)

During the 1950’s, when religious adherence was high in America, Congress added "under God" to the pledge of allegiance and "In God We Trust" to the nation’s currency.

a. True
b. False

Answers

Answer:

A. True

Explanation:

During the period of 1950 there was a very large expansion of the church in America with the Protestant churches having more members followed by the Catholic.

There was also a high religious adherence in America. This made the Congress add "under God" to the pledge of allegiance and "In God We Trust" to the nation’s currency.

During the Renaissance, an artist who was considered a “Renaissance man” because of his expertise in several areas was Michelangelo. Donatello. da Vinci. Botticelli.

Answers

Answer:

da Vinci.

Explanation:

Leonardo da Vinci was a famous artist in the late Renaissance era.He was known as the greatest artists till date because of his expertise in several areas and his class in painting works.

He made great impacts in various fields such as engineering, architecture, science, urban planning,philosophy, cartography etc.

Answer:

CCCCCCCCCCCCCCCCCCCCCCC

da Vinci.

da Vinci.

da Vinci.

da Vinci.

!!!!!!!!!!!!!!!!!!

Explanation:

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Read the excerpt from Robert Yates’s notes from the Constitutional Convention on June 11, 1787. Mr. Wilson was of opinion, and therefore moved, that the mode of representation of each of the States ought to be from the number of its free inhabitants, and of every other description three fifths to one free inhabitant. What was James Wilson’s most notable contribution to the drafting of the Constitution? the Three-Fifths Compromise the Virginia Plan the Great Compromise the New Jersey Plan

Answers

Answer:The Three Fifths Compromise

Explanation:

Answer:

The Three-Fifths Compromise

Explanation:

Took The FLVS Test


How did Mongol rule impact China?

A) China became more isolated.

B) Buddhism became the predominant religion.

C) Trade with Europe flourished.

D) Yuan emperors initiated democratic reforms.

Answers

Answer:D

Explanation:  The Mongols reduced the power of Confucian (Chinese) officials and then put them in lower level jobs. ... Eventually the Mongol rule, under the Yuan Dynasty was overthrown by the Chinese and the Ming Dynasty

During period of isolationism why were the Chinese successful in  improvising new rules governing trade with foreigners

Answers

Answer:

D) Chinese goods were in high demand.

Explanation:

On Edg 2021

Disability and frustration can stop the progress of a Nation. How?

Answers

Explanation:

Hey, there!!

Disability simply means lack of adequate knowledge, skill,capacity. and we simply define frustration means disappointed, or discouraged. When a country is suffering from disabilities and frustration, a countrie's whole economy will go down. It also leads a country be weak. The decrease in economic condition leads to countrie's downfall in every development works because there will be no any budgets for developmental works and our country cannot be developed. Frustration and disabilities qualities may leads to country disputes too.

Hope it helps..

Which of the following was a distinctive outcome of the Agricultural Revolution?

Answers

Answer: c) Unprecedented rise in the human population

Explanation:

The Agricultural Revolution (first one) occurred during the Neolithic period some 12,000 years ago and is viewed as the main reason for the explosive growth of the human population since then.

Before the Agricultural revolution, humans relied on hunting and gathering as their primary means of sustenance and this strategy whilst providing more nutrients due to the variety of food found, could not support a large population.

With the Agricultural revolution, may cultures began to engage in agriculture which enabled them to have a more stable source of food that was able to support more humans. As a result, people settled down and founded families in societies and this led to an unprecedented rise in human population.

How did American crops influence African culture?

Answers

Enslaved Africans left their cultural stamp on other aspects of American culture. Southern American speech patterns, for instance, are heavily influenced by the language patterns invented by enslaved Africans. Southern cuisine and "soul food" are nearly synonymous.

what was the purpose of the offive of war information

Answers

Explanation:

Its purpose was to centralize the many information services of the united States government and create a single line of communication about the war to the American public.

What is one major reason governments create laws?
A. To settle disputes without trials
B. To make sure all citizens are treated fairly
C. To make changes to the Constitution
D. To increase the number of people in prison

Answers

To make sure all citizens are treated fairly is one major reason governments create laws. Hence, option B is correct.

What does equality of all citizens under the law mean?

The fundamental idea, also referred to as equality before the law or economy, holds that all people should be treated equally by the law and should be subject to the same rules. Governments provide business and society with the stability of knowing that all rights are recognized and safeguarded by having a strong rule of law.

A strong rule of law includes: Clearly stated, simply understandable legislation that establish legal rights' enforceability. The State shall not deny to any individual within the territory of India, equality before the law or the equal protection of the laws. The citizens are protected under Article 15 against any type of discrimination by the State on the basis of religion, race, caste, place of birth, or any combination of those factors.

Thus, option B is correct.

For more details about equality of all citizens under the law mean, click here:

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in the mid 1800s notherners used the term slave power to criticize what they believed to be the excessive political influence of which groups of people?

Answers

Answer:

Southern slave owners.

Explanation:

Slave power was a concept developed by the abolitionists of the northern United States during the first half of the 1800s, to refer to the political and economic capacity that the large landowners of the south had in American politics, based eminently on agricultural production through the use of slave labor. Through this system of production, the most powerful families in the south increased their profits against the personal work of the citizens of the north.

At the same time, thanks to clauses such as the Three Fifth Clause established in the Constitution, slave states had an excessive representation in the House of Representatives, which was an obstacle for the political projects of the North that entered Congress as well as a way of exerting political pressure on abolitionists.

What was Muhammad’s first revelation from the angel Gabriel? He must conquer neighboring lands. He must reject the teachings of Jesus. He must travel to Mecca. He must worship and obey only Allah.

Answers

l.Subía a la Hira, una cueva en la montaña Jabal Al-Sur, situada en la región de Hejaz a 3,2 km de La Meca, la actual Arabia Saudita. Allí recibió sus primeras revelaciones, la primera revelación de Mahoma la recibió La Noche del Qadr, de la mano del Arcáng

el Gabriel.

Answer:

The answer is D (he must worship and obey only Allah)

Explanation:

hope this helps

Compare maps of the world in ancient times with current political maps.

Use the maps below to answer the following question.

According to these maps, the Southwest Native American cultural region was located in the United States, and what another North American country?

A) Mexico
B) Canada
C) South America
D)The Caribbean

Answers

The correct answer is A) Mexico

Explanation:

In the map, the Southwest Native American cultural region is shown in orange. In this map, the region is located in the Southwest of the U.S. which includes modern states such as Arizona, New Mexico, and Texas. Additionally, the region extends to the south of the United States, which is now Mexico. It is possible to know this because, in the second map, the territory of the U.S. is highlighted and if you compared the highlighted zone to the orange zone in the first map, the orange zone includes territory that is not part of the U.S. Thus, the correct answer is Mexico.

What was the result of the raid Harpers Ferry in 1859?
A. Increased tensions between the North and South
B. A victory for the Confederacy
C. A Successful slave revolt
D. An easing of tensions between the North and South

Need to know asap, i'm between A or B!

Answers

Answer: A. Increasing tensions between the North and South.

Things were already bad between the two sides before the event happened, so this only made things worse. The American Civil War would start soon after (Apr 12, 1861). Though this event didn't directly cause the war, it did play a factor.

In your opinion, what is the most important purpose of government? Explain your
answer.

Answers

To over see and help citizens

Answer:

The government is very important because the government makes big decisions for the country, with making decisions they have to take everyones best interest in consideration. Te government also has the job of protecting the people. Overall, the government is important fro making big decisions and protecting the people.

Explanation:

why does a curriculum specialist need a thorough understanding of education ​

Answers

Answer:

Because for the betterment of planning of education of the betterment of  morals and values of students.

Explanation:

Which article recognizes states' powers and limitations? Article V Article III Article IV Article I Article II

Answers

Answer: Article 1

Explanation:

Article one outlines the powers and limitations of states

How does the free enterprise system distribute jobs? by the majority rule of voters by government regulations by competition among workers by compromise among citizens

Answers

Answer:

The U.S. economic system of free enterprise operates according to five main principles: the freedom to choose our businesses, the right to private property, the profit motive, competition, and consumer sovereignty. also known as capitalism.

Answer:

Competition among workers

Explanation:

gp

The person who was put to death for the 1995 bombing of a federal building in Oklahoma City had once been a member of what organization?
1) a radical anti-war group
2) the Greenpeace Movement
3) an anti-abortion group
4) the United States Army

Answers

2) the Greenpeace Movement

Give three reasons why Franklin Roosevelt won the 1933 election over Herbert Hoover ?

Answers

Answer: Roosevelt united the party around him, he campaigned on the failures of the Hoover administration. He promised recovery with a "New Deal" for the American people. Hoover had won over 58% of the popular vote in the 1928 presidential election, but saw his share of the popular vote decline to 39.7%.

Consider the US government’s policies toward the Plains Indians in the 1800s.

Do you think the government was justified in using these policies?

Write a two- to three-sentence response to this question.

Answers

Answer:

In 1830, Andrew Jackson signed the Indian Removal Act to allow the federal government to fairly, voluntarily and peacefully trade Native-held territory for land in the “Indian colonization zone”. However, the Native Americans were forced to leave the land where they had lived on for generations.

Explanation:

The government’s policies were set on behalf of the white settlers on the western frontier who aspired to grow cotton on the Indians’ lands, which the settlers thought they deserved.

Not only was unfair but also enforced with terrible violence, on what became known as the Trail of Tears: the trek to Indian Territory by foot, in chains, without any food or any kind of help from the government, where thousands of Indians died.

Answer:

I said

"I do not think the government was justified in using these policies; They were treating the Plain Indians horrible after coming into their land and kicking them off, taking their resources as well. They were weakening these tribes and harming their cultures; It was wrong of Americans to think they were better then these people and to treat them so horribly. Forcing them to assimilate into American culture and putting them in reservations was wrong. The policies with allotments were also unjustifiable."

Explanation:

Which of these policies was addressed in your answer?

reservations

assimilation

allotment

edg2020

The creation of the Executive Branch of Government is most identified in our day and time by: *
Criminal Law
Civil Law
Traditional Law
Fish and Game Laws

Answers

Answer:

criminal law

Explanation:

because in our country the creation of the government is criminal law.

Which of the following statements is true of cause

Answers

C, the effect occurs after the cause
C is the correct answer

the balance between gravity and buoyancy is called____. isostasy density orogenesis accretion

Answers

Answer:

Isostasy

Explanation:

How did the English colonists profit from the slave trade?
A. They sold the slaves to the colonies of other countries.
B. They used slave labor to produce cash crops.
C. They put well-trained slaves in their armies.
D. They traded slaves to the natives for supplies.

Answers

Answer:

(B) they used slave labor to produce cash crops

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