he diagonal of a square is x units. What is the area of the square in terms of x? XSquare units Square unitS 2x Square units square units​

Answers

Answer 1

Answer:

[tex]A=\dfrac{x^2}{2}[/tex]

Explanation:

The diagonal of a square is x units.

Let the side of a square is s.

Using pythagoras,

[tex]s^2+s^2=x^2\\\\2s^2=x^2\\\\s^2=\dfrac{x^2}{2}[/tex]

The area of the square is,

A = s²

So,

[tex]A=\dfrac{x^2}{2}[/tex]

So, the area of a square is [tex]\dfrac{x^2}{2}[/tex]sq units.


Related Questions

what is map scale?
what is map?
Difference between small scale map
and large scale map ?
Answer like this 1.
2.
like this

Question By:-
Anant Kumar​

Answers

A map is a diagrammatic representation of an area of land or sea showing physical features, cities, roads, etc. Basically, a small-scale map covers a larger geographic region such as the world; whereas, a large-scale map covers a relatively small geographic area, such as a 7.5' quadrangle map.

ACT scores of a sample of UTC students are shown below. Student ACT Score A 22 B 28 C 20 D 21 E 28 F 23 G 26 a. Compute the mean and the variance. B. At 95% confidence, test to determine whether or not the variance of the ACT scores of the population of UTC students is significantly more than 8.

Answers

Solution :

a). Let  x denotes ACT scores.

ACT scores = [tex]$\{ 22,28,20,21,28,23,26 \} ; n = 7$[/tex]

Mean, [tex]$(\overline x)=\frac{\sum x_i}{n}$[/tex]

                [tex]$=\frac{168}{7}=24$[/tex]

Sample variance, [tex]$S^2=\frac{1}{n-1}\left(\sum x_i^2-n\overline x^2 \right)$[/tex]

                                  [tex]$=\frac{1}{6}(4098-7 \times 24^2)$[/tex]

                                   [tex]$=\frac{66}{6}$[/tex]

                                   = 11

b). To test whether or not variance of ACT scores of population (say [tex]$\sigma^2$[/tex]) of the UTC students is significantly more than 8.

Consider the hypothesis :

[tex]$H_0: \sigma^2 \leq8$[/tex]  vs [tex]$H_a: \sigma^2 >8$[/tex]

It is a right tailed test and α = 0.05

We have

[tex]$x^2_{n-1} = \frac{(n-1)s^2}{\sigma^2}$[/tex]

So test statics is

[tex]$x^2_7=\frac{(7-1)11}{8}$[/tex]

   [tex]$=\frac{6 \times 11}{8}$[/tex]

   = 8.25

Since our [tex]\text{test statistics is less than the critical value }[/tex]and it falls in a acceptation region, hence we fail to reject [tex]$H_0$[/tex] and conclude that variance is not greater than 8 significantly.

How did the building of pyramids lead to advances in science and mathematics in Ancient Egypt

Answers

Answer:

The great pyramid reveals phi, pi, Euler's constant, the speed of light, the Fibonacci series, the golden mean and much more, all embedded within its sacred geometry. It seems our science and mathematics are not as advanced as they were when the pyramids were built.

Which type of model is represented in the following image?
Graph
Map 3
Dimensional
Small-scale object

Answers

Answer:

the answer is map

Explanation:

it is a map of america

te de que manera crees tu que Podrías apoyar a los negocios que dependen del turismo durante esta Pandemia?​

Answers

Answer:are you talking about the pandemic

Explanation:

In two or more sentences describe a procedure to increase the deposition of sediments at the mouth of a stream. Write your answer in your own words

Answers

Answer:

A sediment is any solid material that is moved and deposited in a new place and can be anything from rocks, or the remains of plants and animals.

Therefore, one way of increasing the deposits of sediments at the mouth of a stream is by reducing the amount of vegetation living near the stream.

By doing this, there is no more cover for the soil and this causes erosion to occur and then the stream carries the loose sediment.

Which of the following is the
most complete definition of
electromagnetic radiation?
A. energy that can travel through space in the
form of waves
B. the energy formed in the sun's core
C. heat waves that travel through planets
D. light that has a higher frequency than visible
light

Answers

Answer:

I think the answer is A!!!!!

According to the bar chart in 2005, private houses in Singapore consumed 33 cubic meters
of water per month. On the contrary, 1 to 3 rooms high density building (HBD) flats
consumed less than the half amount. What do you think what was the reason behind this?

Answers

Answer:

Good city planning, money and population per capita.

Explanation:

I believe this has to do with better city planning and the other reasons above. This is because Singapore is one of many cities to implement a more greener approach to city building compared to other cities, especially when it comes to high density buildings. These buildings are better known for their efficient use of things like water and power, while most privately owned residences are not. Depending on who owns these homes, there are a few more reasons.

If you had the money, hiring maids is an option. It was found that house maids use up a lot of water for things like washing dishes and laundry. These use water and therefore increase the household use of it.

Another final reason is based on how many people live in these homes and flats. Depending on size, more or less persons could be living in these areas, decreasing the amount of water used.

Hope this helps.

Uniformitarianism assumes that Question 14 options: Earth is quite young and is shaped by dramatic events. catastrophic episodes have regularly occurred. the same physical processes we see today are a key to understanding the processes that have been operating throughout geologic time. mountains, plains, and canyons formed by catastrophic events.

Answers

James Hutton Along with Charles Lyell, James Hutton developed the concept of uniformitarianism. He believed Earth's landscapes like mountains and oceans formed over long period of time through gradual processes.

Explanation:

might it help you

Study the map, then use the drop-down menus to complete the sentences.
The region includes Ethiopia.
is the smallest country in Africa by landmass.
is the largest country in Africa by landmass.
, is the largest city in Africa by population.

Answers

Answer:

1- Horn of Africa.

2- Seychelles.

3- Algeria.

4- Cairo, Egypt.

Explanation:

1- The Horn of Africa is the eastern tip of mainland Africa, where the Red Sea empties into the Indian Ocean, where the nations of Ethiopia, Somalia, Eritrea, and Djibouti are located.

2- The Seychelles is the smallest country in Africa, with a size of 459 square km. The country scores the highest on the development index (HDI) of all countries on this continent, but at the same time has the highest inequality of income.

3- With a size of 2,381,741 km², Algeria is the largest country in Africa in terms of area.

4- Cairo is the capital of Egypt and consists of the governorates of Cairo and Giza. The city has about 20 million inhabitants. However, the unofficial population of Cairo is much higher, partly due to the high number of illegal immigrants in the city. With about 20 million inhabitants, the entire metropolitan region of Cairo is the largest city in Africa and the Middle East and one of the largest cities in the world. The city is also one of the most polluted cities in the world and has a huge traffic chaos.

Answer:

eastern, Seychelles, Algeria; Lagos, Nigeria

Explanation:

edg 2023

If a map has a scale of 1 cm: 500 kilometers and the distance from Kingston to Port-Au-Prince, Haiti is 8 centimeters, then how far is the actual distance between Kingston and Port-Au-Prince?

Answers

Answer:

4000 kilometers

Explanation:

1 cm equal 500 kilometers

8 cm equals 4000 km

Which of the following is the most vital way in which humans depend on plant energy?

as food
as biofuels
as firewood
as hydroponics

Answers

As food. Food is necessary for survival, while others aren’t as vital.
as food , it’s a necessity all humans need to live.

¿En qué medida la guerra civil de 1829 representa una lucha ideológica?

Answers

Explanation:

Ideology is described as a collection of more or less structured concepts that identify a community, the goals sought on their behalf, and a course of action. Ideology is significant in two ways.

To begin with, it is useful for armed organisations in socialising soldiers with disparate objectives into a cohesive group, reducing principal-agent issues, and prioritising competing aims.

Some individuals of terrorist organizations act on moral convictions in ways that are not reducible to utilitarian reasoning, while others limit their strategic options for altruistic purposes, which are frequently normative considerations dictated by their ideology.

How is today’s weather related to your region climate

Answers

Explanation:

Weather describes the condition of the atmosphere. It might be sunny, hot, windy or cloudy, raining or snowing. Climate means the average weather conditions in a particular location based on the average weather experienced there over 30 years or more.

Weather depends on individual regional climate of area.

What is weather?

The condition of the atmosphere, including its temperature, pressure, wind, humidity, precipitation, and cloud cover, is referred to as the weather. It is distinct from climate, which is the average of all weather events for a certain place over around 30 years.

On the other hand Climate, is totally different concept than weather, is the culmination of the weather patterns that have persisted across a region for an extended period of time.

The troposphere, the lowest part of the atmosphere that reaches 6-8 km (4-5 miles) at the poles and around 17 km (11 miles) at the equator, is where weather, as it is most frequently understood, takes place.

Therefore the degree of weather changeability varies greatly across the globe. It is particularly noticeable in the westerly wind's mid-latitude belts, where a typically continuous procession of moving high- and low-pressure centers altering the weather pattern.

To know more about weather refer:

https://brainly.com/question/23449272

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As a religious faith, Candomblé appropriates beliefs from both __________.
A.
African faiths and Catholicism
B.
Hinduism and Catholicism
C.
Hinduism and Islam
D.
Buddhism and Catholicism

Answers

Answer:

A. African faiths and Catholicism

Answer:

A

Explanation:

got it right on edge!! stay safe!

6.
Explain how overgrazing can increase the risk of flooding.​

Answers

Answer: Grass holds soil together which keeps everything together. If overgrazing occurs, plants would be gone meaning only soil is left in the open. This will make the risk of flooding to increase drastically.

Explanation:

Explain how the earth rotates and how long it takes for the earth to rotate.​

Answers

Answer:

the earth rotates about it's axis,just as a top spins around it's spindle.the earth rotates from the north pole to the south pole.it takes 24hours for the earth to make one complete rotation.

I hope this helps

¿Que entiendes por el desarrollo de un país ?

Answers

Answer:

En Español: Un país desarrollado, un país industrializado, tiene una economía madura y sofisticada, generalmente medida por el producto interno bruto (PIB) y / o el ingreso promedio por residente. Los países desarrollados tienen una infraestructura tecnológica avanzada y diversos sectores industriales y de servicios.

En English: A developed country, industrialized country, has a mature and sophisticated economy, usually measured by gross domestic product (GDP) and/or average income per resident. Developed countries have advanced technological infrastructure and have diverse industrial and service sectors.

Which of the following statements best describes a similarity between dry climate zones and high latitude zones?
A.
Both have warm temperatures all year.
B.
Both occur only on one continent.
C.
Both experience low levels of precipitation.
D.
Both occur only in coastal areas.

Please select the best answer from the choices provided.

A
B
C
D

Answers

Answer:

C

Explanation:


C.
Both experience low levels of precipitation.

what is absolute location

Answers

Answer:

A place at it's exact place on earth

Answer:

Explanation:

Here's what absolute location is and how to find your location at any time. Absolute position refers to a specific, fixed point on the surface of the Earth represented by a scientific coordinate system. It is more accurate than relative location, describing the location of a place using other nearby locations

a dot map is used to represent population data true or false​

Answers

Answer:

True because a dot map is more specific compared to other forms of representation. They also show spatial patterns.

Explanation:

A dot map is more specific compared to other forms of representation. They also show spatial patterns.

Answer:

True because a dot map is more specific compared to other forms of representation. They also show spatial patterns.

Explanation:

Climate zones result in specific vegetation types developing in a region. Which climatic region is hot and wet all year round, resulting in tropical rainforest Vegetation?

Answers

Places with a tropical wet climate are also known as rainforests. These equatorial regions have the most predictable weather on Earth, with warm temperatures and regular rainfall. Annual rainfall exceeds 150 centimeters (59 inches), and the temperature varies more during a day than it does over a year.

what causes a hurricane to occur​

Answers

Answer:

rise in water levels

Explanation:

hurricane is caused by rise in water levels of the sea

Types of forest management techniques. ​

Answers

There are three major groups of timber harvest practices; clearcutting, shelterwood and selection systems. While each are different and are applied to specific forest types, they have three things in common: They provide wood fiber for thousands of every-day products.

Forest Wilderness

Managed Forests

Urban Forests

Wildland-Urban Interface (WUI)

Plantation Forests

TIMBER STAND IMPROVEMENT.

TIMBER HARVESTING.

REGENERATION.

PRESCRIBED BURNING.

Describe four common characteristics developed countries have that give them an advantage over less-developed countries

Answers

Answer:

Developed countries have: High level of education, high employability rate, good infrastructure, good economy.

Explanation:

Developed countries are able to promote a very efficient standard of living for their citizens. This is due to the fact that they have many positive and efficient factors that are essential for a good quality of life and that promote the population more than the basics necessary to have a good life. This gives developed countries many advantages, as a population that has its needs met is capable of creating a stronger country. Among these advantages we can mention the high level of education, which allows for a high level of employability. This allows the country to have a population qualified to occupy all productive sectors, which provides a good economy and a good infrastructure that is capable of making the country functional, modern and dynamic.

Why are there glaciers near the equator?

Answers

Answer:

It's possible that glaciers exist at the Equator if they are at high enough in elevation that the air becomes cold again and snow can fall

Explanation:

What language is spoken by the largest number of Indian people?

a.

Bengali

c.

Hindi

b.

Sanskrit

d.

Arabic

Answers

C.Hindi is the most spoken language in India

Answer:

C. Hindi

Explanation:

Over 528 million native speakers

What are the Political impacts of chocolate?

Answers

Answer:

The big issues in that chocolate you like so much: low prices for farmers, unsustainable practices, child labor.  These are still with us.

European governments and legislators urged to help cocoa farmers as prices continue to fall in West Africa:  Fairtrade urges EU to implement regulation to recognise the right to living income in cocoa sector in any forthcoming human rights due diligence regulation, as European Cocoa Association calls for an ‘enabling environment’ across the industry.

write a paragraph explaing why collect a can is an example of sustainable development​

Answers

Sustainable development means utilizing the resourses carefully and developing the nation without damaging the environment. So , Collecting a can is an eg of sustainable development bcuz you can recycle the can n get new things from it & recycling saves the environment as well as develops the needs.

Collecting cans is an example of sustainable development because it is more environmental friendly and helps in recycling.

What is sustainable development?

This  is a term that has to do with all sorts of developments that would lead to having a better and more sustainable future.

Recycling used cans is sustainable for the environment and also a wise use of resources.

Read more on sustainable development here:

https://brainly.com/question/17561826

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give an account of the northern plains of India.​

Answers

Answer:

The northern plain has been formed by the interplay of the three major river systems, namely– the Indus, the Ganga and the Brahmaputra along with their tributaries. This plain is formed of alluvial soil. The deposition of alluvium in a vast basin lying at the foothills of the Himalaya over millions of years, formed this fertile plain. It spreads over an area of 7 lakh sq. km. The plain being about 2400 Km long and 240 to 320 Km broad, is a densely populated physiographic division. With a rich soil cover combined with adequate water supply and favourable climate it is agriculturally a very productive part of India

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