A rectangular ceiling tile has a perimeter of 68 inches and an area of 285 square inches. What are the dimensions of the tile?

Answers

Answer 1

Answer:

See below ~

Explanation:

Let the length be 'a' and width be 'b'.

The equations formed :

⇒ 2(a + b) = 68 ⇒ a + b = 34

⇒ ab = 285 ⇒ a = 285/b

=============================================================

Substitute the value of a in the first equation :

⇒ 285/b + b = 34

⇒ 285 + b² = 34b

⇒ b² - 34b + 285 = 0

⇒ b² - 19b - 15b + 285 = 0

⇒ b(b - 19) - 15(b - 19) =  0

⇒ b = 19, 15

⇒ These are the dimensions

⇒ Length will be the greater value and width will be the smaller value

============================================================

Solution :

Length = 19 inches

⇒ Width = 15 inches


Related Questions

Which question would most likely help you understand this excerpt from Adam Smith's book The Wealth of Nations?

Answers

The question that would most likely help you understand this excerpt from Adam Smith's book The Wealth of Nations is, "What is Production?"

Who is Adam Smith?

He is an economist and made some very interesting theories about economics and human want that is still in use till this day.

Hence, the right question that can be asked to understand the statement by Adam Smith is  "What is Production?" because it would help explain why consumption is the sole aim of production

The complete question is:

Which question would most likely help you understand this excerpt from Adam Smith's book The Wealth of Nations?

Consumption is the sole end and purpose of all production; and the interest of the producer ought to be attended to, only so far as it may be necessary for promoting that of the consumer.

—Adam Smith, Scottish economist, philosopher, and author1

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please help me i’ll give you brainlist !!

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Answer:

China

Explanation:

since president richard nixon good relations with china in 1972

china began to open up and reform its economy under

deng xiaoping in 1978

much of china's economic growth started in the 1990's

wikipedia

worldbank

Who were Fundamentalist Christians? What were some specific reasons that Fundamentalist Christians opposed Darwinism?

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Fundamentalist Christians are a religious movement emphasizing biblical literalism. It saw as an attack against everything that bible said about creation and how humans came to be.

Who were Fundamentalist Christians?

Fundamentalist Christians refer to the movement that is within the British and American Protestantism in the early centuries.                                                                                  

Darwinism changes major laws and policies set in place as well as the way people saw races and immigrants. Most politicians were Christians or a form of Christianity therefore, certain laws were passed to help reduce the spread of Darwinism.

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List three areas in which the United States has become a world leader.

Answers

The agricultural production of corn & soybean.The US possesses the largest area of arable land in the world.Agriculture and Semiconductor productionAmerica again leads in the development of new and faster chips, as well as engineer the manufacturing processes to build these chips on a critical scale in order for them to be available cheaply to the public at large

There ya go, enjoy :)

Hey! I really need help on this. It would be much appreciated!​

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b did the test already

Research and compare 4 different kinds of modern governments

Answers

Answer:

An oligarchy is when a society is ruled by a few people, usually the rich. An aristocracy is when a country is ruled by the upper class or nobility. A monarchy is when a society is ruled by a king or queen, and democracy is when a society is ruled by the people themselves or by representatives of the people.

What African tree is also called the "upside-down tree"?

sequoia
baobab
acacia
palm

Answers

It’s the baobab tree

Answer:

Baobab (Adansonia digitata)

Which selection from the article is BEST supported by the information in the graph "Inequality in Selected Countries"?

1.The World Economic Forum talks much about the threat to the global economy at its annual meeting in Switzerland of the wealthy and powerful.

2.The income gap narrowed in the United States between the late 1930s and the 1970s. Since then, it has widened.

3.The CIA World Fact Book ranks the United States 43rd out of 144 countries listed in order of unequal family income.

4.In Switzerland, voters rejected a proposal that would have given it the world's highest minimum wage and limited the salaries of company leaaders.

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Answer:

Top powerful country by deco published

The country must have a nuclear nukes power to have a security safety for no invasion. Secondly is to have the military power with economy. And see who get the best power as a powerful country.

(2022)

Here are the top list powerful country rank.

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

11)

12)

13)

14)

15)

16)

17)

18)

19)

20)

Until recently what conditions allowed small minorities to rule Mexico and South Africa?

Answers

The conditions that allowed the small minorities to rule Mexico and South Africa until recently is the Racial group.

What is the minority group?

These are groups that coexists with other group in a country but are considered more subordinate to the dominant group.

For instance, not until recently, the White, despite been a minority group in South Africa, they were the one that ruled the country.

Therefore, the belonging to a particular race was the conditions that allowed the small minorities to rule Mexico and South Africa

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At the Nuremberg Trials, the Allies tried 22 Nazi leaders for?

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Answer:

Racial purity

Explanation:

they were charged with racial purity

Which of the following best explains how theocracy and absolute monarchy are similar?

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Theocracies and Absolute Monarchies are similar because A Both were common governments for early river valley civilization.

How are Absolute Monarchies and theocracies similar?

In the Early River civilizations such as ancient Egypt and Mesopotamia, the governments were both theocratic and absolute monarchies.

The monarch would claim to be descended from the gods or a god themselves which merged both governmental styles.

Options for this question include:

A Both were common governments for early river valley civilizationB Both rely on a single individual as a source of powerC Both require leaders to be voted into office once every four of six yearsD Both separate church and state

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i need some help with this answer

Answers

Answer:

D. Pearl Harbor was attacked

Explanation:

The attack on pearl harbor happened about five months after the embargo on Japan, so that was the direct event.

Hope this helps!

How do the many works of visual art, literature, and social philosophy that emerged from this period reflect the massive changes that were taking place? How were Americans—both those who created these works and those who read or viewed them—struggling to understand the new reality through art, literature, and scholarship?

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In the period of the American Renaissance, there were important social and cultural changes resulting from democracy and nationalism.

What was the American Renaissance?

It was a period of great transformations in society, which took place in the period from 1876 to 1917, where the focus of society was on the new nationalism, democratic and humanist ideals, influencing the arts, philosophy and politics.

Therefore, the Renaissance was a period of great transformations, with a focus on rationalism and science, which generated technological and cultural developments, transforming society and shaping it to modern parameters.

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Which statement is an example of Cultural Diffusion? A) Young people in Japan eat pizza and wear jeans B) Students in Mexico learn Spanish in school C) Venezuela has large reserves of oil D) Many Americans eat McDonald's several times a week​

Answers

Answer:

1. Venezuela has large reserves of oil.

2. Young people dance to rock music in Russia.

3. Students in China learn calligraphy in school.

4. The caste system is an important part of life in India.

Explanation:

Answer:

A) Young people in Japan eat pizza and wear jeans

Explanation:

The cultural diffusion, in essence, means accepting a culture, social traits, from another culture in the world. In the globalization era this has become very common, and that is due to the constant communication of the people around the world, as well as the promotion and exposure to different cultures through the media.

In this case, we have the pizza and jeans, which is an American type of style and food, but it is worn and eaten by a person in Japan to which the pizza and jeans is not native, so by accepting and wearing jeans and eating pizza, the person from Japan participates in what is known as cultural diffusion.

president roosevelt called to action upon reading upton sinclairs " the jungle" is best described as

Answers

Answer:

movement to ensure sanitary conditions in meat-packing plants by signing new legislation

Explanation:

What classes seem to have occupied the new buildings constructed along Hausmann's boulevards and the Ringstrasse boulevards in Vienna? Where do the sources suggest that persons of lower income were forced to live? Why does an economically segregated housing pattern evolve?

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Explanation:

the answer is a 24 because 24 is a funny number

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D. World Bank Group

Answers

Answer:

The League of Nations

Explanation:

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Answer: The League of Nations

Explanation:

What were the three types of colonies stablished by the english in north América?

Answers

Answer:

The English established the first colonies in North America, which would later become the United States of America. The first colonies were established in VA, which would become the largest colony in North America. The English established settlements in the area that is now the state of Pennsylvania, which would later become the second largest colony in North America. The English established colonies in the area that is now the state of Massachusetts, which would later become the third largest colony in North America.

Explanation:

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Answer:

These clay tablets are called the Hammurabi's Code. They were a set of basic laws and rights that the Mesopotamians followed and were helpful to the development.

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The inference is that the thing that Hughes was trying to say when he describes the population of Harlem as the dusky sash across Manhattan is simply about what could happen to the dreams that are put on hold.

What is an inference?

It should be noted that an inference simply means the conclusion that can be deduced based on the information that are given in a literary work.

In this case, the inference is that the thing that Hughes was trying to say when he describes the population of Harlem as the dusky sash across Manhattan is simply about what could happen to the dreams that are put on hold.

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What is an example of simil

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Answer:

where as small as mice, but were run like a cheetah.

if you need more tell me i will add more

Hope This Helped

The poems in the Book of Songs are all songs that were once included in music, and are divided into what three categories according to their musical nature?

Answers

Answer:

It is divided into three categories: wind, elegance, and ode.

Explanation:

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Answers

Answer:

April 6 1917

Explanation:

The U.S officially entered conflict

Answer:

April 6, 1917

Explanation:

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What was a major cause of the great migration?

Answers

Answer:

Explanation:

t was caused primarily by the poor economic conditions for African American people, as well as the prevalent racial segregation and discrimination in the Southern states where Jim Crow laws were upheld.

Outcome: Demographic shifts across the U.S. I...

Participants: about 6,000,000 African Americans

Cause: Poor economic conditions; Racial segr...

Also known as: Great Northward Migration; Bla...

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Answers

A.
Cottage industries make up most of the industrial employment.


B.
Ecotourism has provided the Caribbean new economic opportunities.


C.
The region is home to very few large-scale farms.


D.
Most people in Central America work in agriculture.

Answers

the answer is A
explanation

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B. Increased job opportunities in factories allowed many to improve
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OC. Lack of regulation led to long hours, low pay, and dangerous
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Answers

Answer:

machines replaced workers in many facroty jobs, forcing them to return to agricultural labor

Explanation:

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Answers

Answer:

Paine invoked moral and political reasons to persuade ordinary people in the colonies to struggle for democratic rule.

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