A rectangular tent has a perimeter of 24 feet. Its area is 32 square feet. What are the dimensions of the tent?

Answers

Answer 1

Answer:

4 feet by 8 feet

Explanation:

Given

[tex]P =24[/tex] -- Perimeter

[tex]A = 32[/tex] --- Area

Required

The dimension of the tent

The perimeter of a rectangle is:

[tex]P =2(L + W)[/tex]

Where

[tex]L = Length\\ W = Width[/tex]

So, we have:

[tex]2(L+W) = 24[/tex]

Divide both sides by 2

[tex]L + W = 12[/tex]

Make L the subject

[tex]L = 12 - W[/tex]

The area is calculated as:

[tex]A = L* W[/tex]

This gives:

[tex]L * W = 32[/tex]

Substitute[tex]L = 12 - W[/tex]

[tex](12 - W) * W = 32\\[/tex]

Open bracket

[tex]12W - W^2 = 32[/tex]

Express as quadratic equation

[tex]W^2 - 12W - 32 = 0[/tex]

Expand

[tex]W^2 - 8W -4W- 32 = 0[/tex]

Factorize

[tex]W(W - 8) -4(W- 8) = 0[/tex]

Factor out W - 8

[tex](W - 4)(W- 8) = 0[/tex]

Split

[tex]W - 4 = 0\ or\ W - 8 = 0[/tex]

Solve for W

[tex]W =4\ or\ W = 8[/tex]

Recall that:

[tex]L = 12 - W[/tex]

Substitute [tex]W =4\ or\ W = 8[/tex]

[tex]L = 12 - 4 = 8[/tex]

[tex]L = 12 - 8 = 4[/tex]

So, we have:

[tex]W =4\ or\ W = 8[/tex]

[tex]L = 8\ or\ L = 4[/tex]

So, the dimension is: 4 feet by 8 feet


Related Questions

High school students what team club is better volleyball team or basketball team? I am very indecisive and I love both sports equally please respond as quick as you can because I have both forms and need to choose one quickly before tomorrow.

Answers

Answer:

volleyball

Explanation:

A full-credit response includes the following elements. Deduct points if these items are missing or weak. The response should include a description of the effects of increased access to technology such as the washing machine. Deduct 20 points if the description is weak and 30 points if it is missing. The response should include examples of Human Development Index factors, such as Access to Knowledge, that can be increased due to access to technology. Deduct 20 points if the discussion is weak and 30 points if it is missing. The response should include supporting evidence from the video in the form of examples, details, or facts. Deduct up to 20 points if the discussion is weak and 30 points if it is missing. the response should use correct grammar and mechanics. Deduct 5 to 10 points for errors in grammar and mechanics, depending on the severity of the errors. Explain how the idea that increased access to technology can result in greater development (as measured through the Human Development Index).

Answers

Answer:

What is human development?

In 1990 the first Human Development Report introduced a new approach for advancing human wellbeing. Human development – or the human development approach - is about expanding the richness of human life, rather than simply the richness of the economy in which human beings live. It is an approach that is focused on people and their opportunities and choices.

People: human development focuses on improving the lives people lead rather than assuming that economic growth will lead, automatically, to greater wellbeing for all. Income growth is seen as a means to development, rather than an end in itself.

Opportunities: human development is about giving people more freedom to live lives they value. In effect this means developing people’s abilities and giving them a chance to use them. For example, educating a girl would build her skills, but it is of little use if she is denied access to jobs, or does not have the right skills for the local labour market. Three foundations for human development are to live a long, healthy and creative life, to be knowledgeable, and to have access to resources needed for a decent standard of living. Many other things are important too, especially in helping to create the right conditions for human development, and some of these are in the table below. Once the basics of human development are achieved, they open up opportunities for progress in other aspects of life.

Choice: human development is, fundamentally, about more choice. It is about providing people with opportunities, not insisting that they make use of them. No one can guarantee human happiness, and the choices people make are their own concern. The process of development – human development - should at least create an environment for people, individually and collectively, to develop to their full potential and to have a reasonable chance of leading productive and creative lives that they value.

As the international community moves toward implementing and monitoring the 2030 agenda, the human development approach remains useful to articulating the objectives of development and improving people’s well-being by ensuring an equitable, sustainable and stable planet.

The Human Development Index (HDI) is a summary measure of average achievement in key dimensions of human development: a long and healthy life, being knowledgeable, and have a decent standard of living. The HDI uses the logarithm of income, to reflect the diminishing importance of income with increasing GNI.

The HDI was created to emphasize that people and their capabilities should be the ultimate criteria for assessing the development of a country, not economic growth alone. The HDI can also be used to question national policy choices, asking how two countries with the same level of GNI per capita can end up with different human development outcomes. These contrasts can stimulate debate about government policy priorities.

The Human Development Index (HDI) is a summary measure of average achievement in key dimensions of human development: a long and healthy life, being knowledgeable, and have a decent standard of living. The HDI is the geometric mean of normalized indices for each of the three dimensions.

The health dimension is assessed by life expectancy at birth, the education dimension is measured by the mean of years of schooling for adults aged 25 years and more and expected years of schooling for children of school entering age. The standard of living dimension is measured by gross national income per capita. The HDI uses the logarithm of income, to reflect the diminishing importance of income with increasing GNI. The scores for the three HDI dimension indices are then aggregated into a composite index using a geometric mean. Refer to Technical notes for more details.

The HDI simplifies and captures only part of what human development entails. It does not reflect on inequalities, poverty, human security, empowerment, etc. The HDRO offers the other composite indices as a broader proxy on some of the key issues of human development, inequality, gender disparity, and poverty.

Explain how the rise of secondary sector employment affects population size in urban communities.

Answers

Answer:

The rise of secondary sector employment affects population size in urban communities by attracting more people to migrate into the area causing the population to also rise.

Explanation:

I was looking for the answer to so instead I answered it.

The rise of secondary sector employment leads to rise in the population   in urban areas as it will have more people moving there.

Why the migration above?

There are a lot of incoming technology such as the use of machines in agriculture and it has been found that a lot of farmers and workers often look for jobs in the the secondary sector and thus leading to urban migration.

Conclusively, Note that this will lead to a rise in the population in urban centers as more people go there and there will be a rise of secondary sector employment.

Learn more about employment from

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describe the change in the dominant economic sector during deindustrialization

Answers

Answer:

The dominant economic sector shifted from manufacturing or secondary sector to the service sector because of outsourcing that allowed more developed countries to produce goods in less developed countries for cheaper labor costs.

According to the video, what are some products Mechanical Engineers design? Check all that apply. engines robots kitchen appliances medicine chemicals power tools

Answers

Answer:

engines

robots

kitchen appliances

power tools

Explanation:

Answer:

engines

robots

kitchen appliances

power tools

Explanation:

Please help a girl out❤️

Answers

5 or more drinks at a time for men

In the sixth paragraph, the author uses the story of the name His Horse Stands in Sight to illustrate which of the following?
A. Crazy Horse's combination of recklessness and calculating calm
B. Mounted battle tactics that came to characterize Lakota warfare
C. The importance of a Lakota warrior's skill in horseback riding
D. Crazy Horse's reputation among his people as a model of humility
E. The storytelling style of a participant in the waktoglaka ceremony

Answers

Answer: D

Explanation:

Crazy Horse's reputation as an example of humility among his people. The correct response is option D.

Sitting Bull and Lakota culture:

Crazy Horse was a Lakota native American tribal war chief in the nineteenth century.

He was opposed to the US federal government because he wanted to combat the invasion of white Americans who had established on American soil.

He was also recognized for defying the government in order to maintain the Lakota people's customs. The author utilizes the narrative behind the moniker His Horse Stands in Sight in the sixth paragraph to highlight Crazy Horse's status among his people as an example of humility.

Find out more information about 'Lakota'.

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Martina, a sophomore, plans to backpack in Europe for a month after she graduates from high school. What is this an example of?

A. A short-term goal
B. A long-term goal
C. A priority goal
D. An enabling goal

Answers

Answer:

Option A, This is example of short term goals

Explanation:

A short-term goal is planned for future (today, a week, a month, or a year). Such goals need small time period to complete the task and hence are short goals while the task that take long time for completion are long term goal. Option B is incorrect as backpacking in Europe will not take long. It is also not a priority goal as a priority goal remains same and continues for a long time. hence, option C is incorrect

Option D is incorrect because it is not an enabling goal as it is not at all helping to achieve a long term goal

Hence, only option A is correct

I need help tysm have agreatday

Answers

i would say A (: have a nice day !

A craft store owner has 2,016 paint brushes if she wants to put them in packages of 28 how many packages can she make

Answers

Answer:

72 it the answer

Explanation:

28×72=2,016

What is the arc length of the central angle is 225 degrees and the radius of the circle is 6 meters?

Answers

Answer:  

Length of arc = 23.57 meter (Approx.)

Explanation:  

Given:

Radius of given circle = 6 meter

Central angle = 225°

Find:

Length of arc

Computation:

Length of arc = [θ/360][2πr]  

Length of arc = [225/360][2(22/7)(6)]  

Length of arc = [0.625][12(3.1428)]  

Length of arc = [0.625][12(3.1428)]  

Length of arc = [0.625][37.7136]

Length of arc = 23.571  

Length of arc = 23.57 meter (Approx.)

The country of Costa Rica has protected 25 percent of its land in the form of national parks or other protected areas. Which of the following best explains the desired effect of Costa Rica's process of land preservation? A. Costa Rica's national parks and preserved areas are intended to promote international ecotourism and support the country's sustainable local economic development. B. Costa Rica's national parks and preserved areas are designed to attract multinational corporations, providing Costa Rica with economic sustainability. C. Costa Rica preserved these areas to meet the requirements to join the Central American Common Market, which funds environmental sustainability initiatives in member countries. D. Costa Rica preserved these areas to establish special economic zones for the exportation of manufactured products to the United States. E. Costa Rica is predominately an agricultural nation and preserved these areas for the future expansion of global agricultural commodity chains.

Answers

Answer:

I'm not sure but I think the answer is "Costa Rica's national parks and preserved areas are intended to promote international ecotourism and support the country's sustainable local economic development"

Explanation:

Ecotourism brings people to Costa Rica's natural parks, also not only are they preserving land they are making money from the tourists that come to visit making the preservation of land a positive investment.

The desired effect of Costa Rica's process of land preservation is to promote international ecotourism and support the country's sustainable local economic development.

What is the area protected by Costa Rica?

The country of Costa Rica is situated between the borders of Carrabian sea from the east and Pacific Ocean to the west. The country of Costa Rica has protected 25 percent of its land in the form of national parks or other protected areas.

These 25 percent area includes-

National park-Total 25 national parks are in this area.Wildlife refuges-Total 52 wildlife refuges are in this area.Forest-Total 11 forest reserve, 32 protected zone and 15 mangroves are there in this area.

The world's almost 5 percent of biodiversity estimated to found in the costa rica.

The government protected 25 percent of its land in the form of national parks or other protected areas because to preserve the natural beauty and surrounding of Costa Rica.

With this protection, the government aim to protected 25 percent of its land in the form of national parks or other protected areas.

Hence, the desired effect of Costa Rica's process of land preservation is  to promote international ecotourism and support the country's sustainable local economic development. Option A is correct option.

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Balikan
لی
Halika, sagutan mo ang gawain upang masubukan kung anong konsepto ang tum
sa iyong isipan sa nakaraang modyul.
Gawain 2: Talasalitaan
Ibahagi ang iyong nalalaman sa mga sumusunod na salita. Ilagay ito sa isang bu
papel.
1. Migrasyon
2. Overseas Filipino Workers (OFW)
3. Brawn Drain
4. House Husband
5. Brain Drain​

Answers

Answer:

house husband is interesting

Your instructor maintains an online “diary” where he writes short essays and commentary. He asks you to check it routinely because it contains information you need to know about the course. The “diary” is referred to as a


blog.
wiki.
podcast.
website.

Answers

Answer:

Option B Wikipedia

Explanation:

A pod cast is downloadable audio file via  podcast app. Hence, option C is incorrect

Option D is correct as website contain public information that need to be updated daily or on regular basis

Option B is also incorrect as wiki page information needs to be updated from time to time.

Why does fossil fuel use in the United States make the U.S. vulnerable to the political wishes of foreign countries?

A) The U.S. is a net exporter of fossil fuels.
B) Fossil fuels lead to global climate change.
C) The U.S. imports much of its petroleum from foreign countries which set the prices.
D) The fossil fuels in the U.S. cannot be accessed.
E) All of the above

Answers

Answer: C

Explanation:

Matching the information to be learned to the appropriate memorization technique allows for
a.
Efficient study sessions
d.
All of these
b.
Making the most of the time you have to study
e.
None of these
c.
Remembering important information without cutting corners


Please select the best answer from the choices provided

A
B
C
D
E

Answers

Answer: D credit to the person on top

Remembering important information without cutting corners.

What is Memorization technique?

We  must memorize a lot of material for many college courses. It might be challenging to memorize material for one class, but when you have many classes, it can be even more irritating.

Many students believe that they just don't have good remembering abilities. Fortunately, anyone can practice and improve their memorizing capabilities; it's not just for a select few who are born with the necessary aptitudes.

Competitive memorizers assert that applying memory tricks and visualization approaches helps them recall big amounts of information rapidly.

Therefore, Remembering important information without cutting corners.

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Suppose R and Q are two events such that P(R)= .14, P(Q) = .52, and P(R∩Q)= .20, find P(RUQ), are the events mutually exclusive why or why not?

Answers

Answer:

#

P(R I Q) = P(RnQ) / P(Q) = 0.1 Therefore P(RnQ) = 0.1 X 0.35 = 0.035 (The intersection in the centre of a Venn Diagram)

P(RnQ') = 0.15 In a Venn Diagram this is R but excluding the centre intersection with Q. Therefore P(R) = P(RnQ') + P(RnQ) = 0.15 + 0.035 = 0.185

P(RUQ) = 0.15 + 0.035 + 0.315 = 0.5 so 0.5 must be outside the Venn Diagram circles.

Explanation:

hope this helps

Discuss the differences in the environment of the inner and outer Solar System.

Answers

The inner planets are closer to the Sun and are smaller and rockier. The outer planets are further away, larger and made up mostly of gas. The inner planets (in order of distance from the sun, closest to furthest) are Mercury, Venus, Earth and Mars.

in our Solar System, astronomers often divide the planets into two groups — the inner planets and the outer planets. The inner planets are closer to the Sun and are smaller and rockier. The outer planets are further away, larger and made up mostly of gas.

The inner planets (in order of distance from the sun, closest to furthest) are Mercury, Venus, Earth and Mars. After an asteroid belt comes the outer planets, Jupiter, Saturn, Uranus and Neptune. The interesting thing is, in some other planetary systems discovered, the gas giants are actually quite close to the sun.

The function of a protein molecule depends on its____
and how it interacts with other_____

Answers

Answer:

Structure; protein molecules.

Explanation:

In Biology, blood pH can be defined as a measure of the hydrogen ion (H¯) concentration of blood i.e the level of alkalinity or acidity of blood.

Basically, the normal blood pH of a human being should be between 7.35 and 7.45.

Hence, one of the ways in which the body regulates blood pH is with proteins. Proteins help regulate blood pH by accepting and releasing hydrogen ions. Typically, when the blood pH falls, the hydrogen ions (H¯) are accepted (absorbed) while hydrogen ions are released when the blood pH rises.

For example, a protein such as haemoglobin which makes up a composition of the red blood cells, binds an amount of acid required to regulate blood pH.

The structural formula or dimension of a protein and its relationship (interaction) with other protein molecules generally determine the function of a protein.

Simply stated, the function of a protein is largely dependent on its structure and the level of interaction with other protein molecules.

Which equation is equivalent to
25x2 + 10x = 11
• (5x + 1)2 = 11
•(5x + 5)2 = 16
•(5x + 1)2 = 12

Answers

Answer:

Solution given;

2x²+10x=11

• (5x + 1)²= 11

25x²+10x+1=11

25x²+10x=10[not equivalent]

•(5x + 5)²= 16

25x²+50x+25=16[not equivalent]

•(5x + 1)²= 12

•(5x + 1)²= 1225x²+10x+1=12

•(5x + 1)²= 1225x²+10x+1=1225x²+10x=11[equivalent]

25x²+10x=11

Try using completing square

(5x)²+2(5x)(1)+1=11(5x+1)²=10

No

Check B

(5x+5)²=1625x²+50x+25=1625x²+50x=-11

No

Check C

(5x+1)²=125x²+10x+1=125x²+10x=11

Yes

guys! Who can help me with this..... What happened with the middle class of america?

Answers

The gains in the upper middle class came from the middle class, which has shrunk from 50% in 1980 to 36% by 2016. The lower middle class was cut in half from 1967 to 2016 while the poorest class basically stayed the same. And the richest class, although the smallest, also saw substantial growth.

Ang araw ang sentro ng sansimukob

Answers

Answer:

The sun is the center of the universe...... Yes true

Could not get your question

hindi maintindihan ang iyong katanungan

Explanation:

What in the world does this even mean

An object of mass m is moving in a straight line with velocity v and is slowing down from a force F = -kv where k is a constant. At time t = 0, the velocity is [tex]v_{0}[/tex]. How can I derive an equation for the object's velocity as a function of t?

Answers

Answer:

The equation of the object's velocity in time is [tex]v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }[/tex].

Explanation:

By Newton's Laws of Motion, the equation of motion that represents the deceleration of the object is described by:

[tex]\Sigma F = - k\cdot v = m\cdot \frac{dv}{dt}[/tex] (1)

Where:

[tex]k[/tex] - Damping constant, in newton-second per meter.

[tex]m[/tex] - Mass, in kilograms.

[tex]v[/tex] - Velocity, in meters per second.

[tex]\frac{dv}{dt}[/tex] - Acceleration, in meters per square second.

Then, we modify (1) until the following ordinary differential equation with separable variables is found:

[tex]-\frac{k}{m} \int \, dt = \int {\frac{dv}{v} }[/tex] (2)

Then, we integrate the equation and find the following solution:

[tex]-\frac{k}{m}\cdot (t-0) = \ln \frac{v}{v_{o}}[/tex]

[tex]- \frac{k\cdot t}{m} = \ln \frac{v}{v_{o}}[/tex]

Finally, we clear the velocity in the solution of the differential equation is:

[tex]v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }[/tex]

The equation of the object's velocity in time is [tex]v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }[/tex].

Analyze the map. Then, answer the question that
follows.

South Africa is an example of a(n)

elongated state.

perforated state.

prorupted state.

enclave.

exclave.

Answers

Answer:

A perforated state surrounds another. South Africa is a perforated state

Explanation:

Answer:

A perforated state.

Explanation:

I took the test on edge.          

The map above shows percent change in population for counties in Texas from the 2000 to the 2010 census. The three largest metropolitan areas are Dallas-Fort Worth (Tarrant and Dallas Counties), Houston (Harris County), and San Antonio (Bexar County). Which of the following statements best explains urban growth in the period from 2000 to 2010 ?

Answers

Answer:

c

Explanation:

i took it

Why isn´t New Years Eve and Christmas Eve considered an actual holiday?

Answers

Answer:

well the reason christamns is a holdiay casue Christmas was the Day  of the birth of Jesus so Christmas eve is not a holdiay beasue its the day before a holdiay. ANd for New years eve its not a holadiy becasue its the day before one new years is the start of a new year so the day before is the last day of the year so why would that be a holyday? when the next day is...

Explanation:

Scientific observations inspire scientific hypotheses and theories.

True or False?

Answers

Answer:

Collecting research data is the final step in the scientific method. false. A scientific theory must be supported with empirical evidence. true ... Scientific observations inspire scientific hypotheses and theories. true.

Which statement regarding the impact of globalization
on India's caste system is best supported by the
passage?

Globalization has led to increased manufacturing of
consumer technology, which has helped break down
social barriers.

Globalization has led to an increase in
industrialization, which has expanded urban areas,
where social differences matter less.

O Globalization has led to exposure of the Western
world through technology, which has increased the
social status for people from lower castes.

O Globalization has led to urbanization, which has
resulted in more job opportunities and eliminated
traditional social restraints for people from lower
classes.

Answers

Answer:

a

Explanation:

Answer:

A

Explanation:

Which technique combines two-dimensional Images Into a three-dimensional Image?
The _______________
technique combines two-dimensional images and enhances them to create a three-dimensional image. This technique is used by forensic scientists to recreate crime scenes and evidence.

Answers

Answer:

Originally, stereogram referred to a pair of stereo images that could be viewed using a stereoscope. Most stereoscopic methods present two offset images separately to the left and right eye of the viewer. These two-dimensional images are then combined in the brain to give the perception of 3D depth.

Explanation:

The stereoscopic  technique combines two-dimensional images and enhances them to create a three-dimensional image. This technique is used by forensic scientists to recreate crime scenes and evidence.

The general technique used by forensic scientists for the creation of 3-D image illusion with 2-D images is stereogram.

What is the use of three-dimensional images over 2-D images?

The 2-D images are flat with the presence of the two geometrical axis, which made the development of the simple images with one perspective only. While the 3-D images are given with the presence of the third dimension as well, which adds multiple perspectives to the images for analysis.

The technique of stereogram is used for the development of three-dimensional illusion with the use of two-dimensional flat images. These are generally used by scientists for the recreation of crime scenes and evidence.

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this is no longer a question

Answers

Answer:

what I didn't understand your question sorry.hope its help you have a great day keep smiling be happy stay safe

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