The area of a rectangle is 342 square units. Its length measures 19 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.

Answers

Answer 1

Answer:

The length of the diagonal of the rectangle is approximately 26.2 units.

Explanation:

From Geometry we remember that the area of the rectangle ([tex]A[/tex]), in square units, is described by this formula:

[tex]A = w\cdot l[/tex] (1)

Where:

[tex]w[/tex] - Width, in units.

[tex]l[/tex] - Length, in units.

If we know that [tex]A = 342\,u^{2}[/tex] and [tex]l = 19\,u[/tex], then the width of the rectangle is:

[tex]w = \frac{A}{l}[/tex]

[tex]w = \frac{342\,u^{2}}{19\,u}[/tex]

[tex]w = 18\,u[/tex]

And the length of the diagonal ([tex]d[/tex]), in units, is determined by the Pythagorean Theorem:

[tex]d = \sqrt{w^{2}+l^{2}}[/tex] (2)

If we know that [tex]w = 18\,u[/tex] and [tex]l = 19\,u[/tex], then the length of the diagonal is:

[tex]d = \sqrt{(18\,u)^{2} + (19\,u)^{2}}[/tex]

[tex]d \approx 26.2\,u[/tex]

The length of the diagonal of the rectangle is approximately 26.2 units.


Related Questions

What 1 and 2 and 1 and 11

Answers

Well they are all numbers so ya

Machu Picchu canal

3. How could you figure out how many gallons it could carry in an hour? Write a
math equation.
4. The canal is built on terraces from 2 to 6 meter high. What is the average height
of the canal? (Calculate the average by adding the two amounts and dividing by
2)
5. The canal is 5 inches wide and about 29,484 inches (2,457 feet) long. What is
the total area of the canal? (Calculate area by multiplying the width aby the
height)

Answers

Answer:

4) 2 + 6 = 8

8/2 = 4 meters

5) 5 x 29484 = 147420 [tex]in^2[/tex]

need more information to write the equation in number 3, is there more context?

What part of a reflecting telescope would you measure to
find the aperture?

Answers

Answer:

I would measure the scope to see how long, wide it is

Explanation:

Hope This Helps If It Wrong Please Tell Me

A part of a reflecting telescope would you measure to find the aperture is the mirror.

What is a telescope?

Scientists can observe celestial stars using a telescope. When collecting light, refracting telescopes use lenses, while reflecting telescopes utilize reflectors in order to observe an object.

The aperture in refractors refers to the thickness of the lens at the top of the tube. The diameter of the bottom tube's mirror, where light is collected, is used to measure reflectors.

White light is made up of a spectrum of colors, according to Isaac Newton, who developed his reflecting telescope as evidence for this theory in order to see far way objects.

The mirror size of a reflecting telescope is used to calculate the aperture. When selecting a telescope, the aperture—or the width of its primary mirror or lens—should be your primary consideration.

Learn more about the telescope, here:

https://brainly.com/question/3687745

#SPJ6

To what extent is it possible to increase agricultural production by the use of modern methods?

Answers

Answer:

The agricultural system is now viewed as community of agro farms.

Explanation:

Modern agriculture started in the late 20th century due to the rising needs and demands of food, by the world population.  

The boost of food production has mainly due to scientific advances and newer technology. That includes the developments of varying crop yields along with the use of the pesticides and the fertilizers. The construction of large irrigation systems.

Some practices like the monocropping application of inorganic fertilizers and intensive tillage. Chemical pest control irrigation techniques. The agriculture is now viewed as an agroecosystem and is developed to produce and promote the viable farming communties

Explanation:

1) know the yield potential

2) utilize the best quality fertilizers

3) use best quality seeds

4) use water sprinkler for irrigation

Anyone from new york or been to new york? I'm going over the summer and I want to be prepared so any tips?

Answers

Try not to look like a tourist
Look like you’ve been there your whole life

what is nationalism pls tell fast​

Answers

Hello

nationalism

Nationalism or nationalism is an ideological movement of thought aimed at gaining the interests of a particular nation, especially its sovereignty and self-government, and then maintaining it forever.

Answer:

Nationalism is an ideology that emphasizes loyalty, devotion, or allegiance to a nation or nation-state and holds that such obligations outweigh other individual or group interests.

Explanation:

¿Qué consecuencias tuvo para los señores feudales el fortalecimiento de las monarquías?

Answers

Answer:

La Carta Magna sirvió para limitar el poder del monarca. El Parlamento formó un consejo que crearía nuevos impuestos y asesoraría al rey sobre la elaboración de leyes.

Explanation:

En la cúspide de la sociedad feudal estaban los monarcas, o reyes y reinas. Como habrás aprendido, los monarcas medievales también eran señores feudales. Se esperaba que mantuvieran el orden y brindaran protección a sus vasallos. Tuvieron que depender de sus vasallos, especialmente los nobles, para proporcionar suficientes caballeros y soldados.

write a short note on Panda.​

Answers

Answer:

The red panda (Ailurus fulgens) is a carnivoran native to the eastern Himalayas and southwestern China. It is listed as Endangered on the IUCN Red List because the wild population is estimated at fewer than 10,000 mature individuals and continues to decline due to habitat loss and fragmentation, poaching, and inbreeding depression.[1] Despite its name, it is not closely related to the giant panda.[3]

Panda also known as panda bear.usually found in china.They have average life span of 20 yearsThey spend alot of time in day just eatingNot all panda's are adore wild pandas are dreadful.They are black and white in colour combination.They are good at climbing tree .

If DEFG is a square, find m

Answers

Answer:

b. 90°

Explanation:

Recall: based on the properties of a square, a square has all its sides equal to each other. Also, all interior angles of a square are therefore right angle each. This means each internal angle of DEFG measures 90°.

Thus,

m<DEF is an internal angle. We can conclude that:

m<DEF = 90°

What role did Mohandas Gandhi play in Indian independence?

Answers

Answer:

Mahatma Gandhi was the leader of India's non-violent independence movement

Explanation:

Mahatma Gandhi was the leader of India's non-violent independence movement against British rule and in South Africa who advocated for the civil rights of Indians.

Rivers downcutting into a land surface, in the absence of other forces, usually tend to erode a ________-shaped form when viewed in cross-section across its valley. flat bottomed U delta V groove

Answers

Answer:

Rivers downcutting into a land surface, in the absence of other forces, usually tend to erode a V-shaped form when viewed in cross-section across its valley.

Explanation:

Rivers on steep surfaces tend to have a very high flow speed and the higher the slope of the terrain and the speed of the river, the greater the erosion power of these rivers. Under these conditions, a river can deepen its bed, creating a V-shaped valley, especially at the headwaters of the banks, where the erosion process is usually greater.

In the Rocky Mountain region of the United States, north-facing slopes (downhill direction is toward the north) are typically moister and heavily forested than south-facing slopes. Why

Answers

Answer:

This is because the north-facing slopes release less moisture.

Explanation:

Both the south-facing slopes and the north-facing slopes receive the same amount of sun and rain, however, the north-facing slopes are wetter and forested. This is because the north-facing slopes release less moisture into the atmosphere. This allows the soil to become more humid and the environment more conducive to plant growth, unlike the slopes facing south, which release a lot of moisture into the atmosphere and therefore make the soil drier.

write any two factor affecting quality of life​

Answers

Answer:

These were: Physical health, psychological condition, independence, relationships with others, and the environment one lives in. One other factor used in quality of life assessment is illness acceptance.

Explanation:

A dominating land feature in north africa is
A.Caucasus mountains
B.Piedmont plateau
C.Atlas mountain
D.Central highlands

Answers

Hopes this helps:

Answer: C. Atlas mountain

Find x in the parallelogram

Answers

Answer:

x = 14

Explanation:

Recall the properties of parallelograms.

Thus, diagonals of parallelogram bisect each other to form equal segments.

Thus,

2x + 10 = 5x - 32

Collect like terms together

2x - 5x = -10 - 32

-3x = -42

-3x/-3 = -42/-3

x = 14

When seismographs are received at a station, the seismograph records the vibrations on paper in the form of lines. The height of the lines traced on paper is a measure of the energy released by the earthquake, also known as its

Answers

Answer:

Magnitude

Explanation:

The height of the lines traced on paper is a measure of the energy released by the earthquake, also known as its "Magnitude"

Usually, the Magnitude" of vibration can be calculated by multiplying the vibration value by itself (10 x 10) and then double it.

Hence, in this case, the correct answer to the question is "Magnitude"

Should I sleep in the living if I saw a bed bug in my room?

Answers

Answer:

Yessss, don't commit suicid'e by sleeping in ur room like that XD

Explanation:

hi pls help i’ll give brainliest

Answers

Answer:

Nuclear Fusion that takes place between hydrogen atoms.

Explanation:

The energy comes from the sun and the sun is mostly made up of hydrogen and helium atoms. The sun generates energy from nuclear fusion.

Hydrogen is being converted into helium in the core of the sun. This is called nuclear fusion.


Geographers use two key questions every day, When using these two key questions to study the migration of birds, a
geographer would ask "Where are the birds going?' and"
А. what season is il
В. which birds are migrating
C when are the birds traveling
D. why are they going there

Answers

D why are they going there because they need to know

In some areas of Texas, rain water quickly moves through layers of rock and is stored naturally underground. The water is then pumped into homes for people to use. What would cause a change in the amount of water available to people in this area

Answers

Answer: climate change

Explanation: less rain means less water for consumption.

What is a positive and negative impact on human impact of the environment.

Answers

Answer:

Negative human impact of the environment is pollution we cause by waste and many other things. Positive human impact is the humans helping clean up the environment and help stop as much pollution as they can.

Hopefully this helps:)

Name the three types of rocks that make up the earth crust

Answers

Answer:sedimentary, igneous, and metamorphic.

Explanation: have a great day

igneous, sedimentary, and metamorphic.

mark me brainliestt :)))

write the habitat of all the animals​

Answers

Answer:

As given below

Explanation:

Lion and tiger:  live in open grasslands Snake: lives on trees, near river valleys. Cat, Dog: habitat is not specific. Snail: underground and swamplands Fish: lake, river, and ocean. Parrot: trees Polar bear: ice, snow Cow: forests, grassland Deer: Forests Monkey, Peacock: Dense forest, trees Donkey, Zebra: forests, near source of water Camel: desert, sand Fox, gorilla: dense forests  Kangaroo: Grasslands Ant: Mounds of soil Pigeon, Eagle: forest, buildings.

Compared to the metes and bounds land survey method, the township and range system is more likely to

Answers

Answer:

Organized

Explanation:

The land governed by the township and range system is well organized as it comprises of uniform system of plots and roads while on the other hand the system of metes and bounds is random and it has a random arrangement of array of plots and fewer roads.

Although the Himalaya Mountains are still growing today, eventually (regardless of whether the collision between the Australian-Indian plate and the Eurasian plate continues or not) the mountain will stop growing. Why is that

Answers

Answer:

This is because of isostatic adjustment.

Explanation:

The mountains of the Himalayas keep growing because of the isostatic adjustment. it allows for a gravitational balance in the Himalayan mountain region, which causes tectonic plates to float below these mountains. This fluctuation occurs in the densest part of the asthenosphere. This density, together with the force of gravity, causes an increase in the height of the tectonic plate that sinks more and more. As the tectonic plate sinks, inversely, this plate rises, when its weight decreases, and it is this rise that causes the mountain to grow.

What are the characteristics of Earth’s main climate regions?
How do the climate regions differ from one another?
What factors cause the differences between climate regions?

Answers

Answer:

Tropical/Rainy Climate

Receives 6 cm of rain and has a temperature of 18 degrees c.

Dry Climate

Really hot and receives less than 25 cm of rain per year.

Temp. Marine Climate

Cool and rainy and wet to mild.

Temp. Continental Climate

Cool summers and cold winters

Polar Climate

Very cold with lots of precipitation.

Highland Climate

Temperature decreases as you go farther north nation:

How can we reduce the impact of e-waste on human and natural environment?

Answers

Answer:Ways to Reduce E-Waste and its Hazards

Sell old Electronics. ...

Donate old Electronics. ...

Recycle and Dispose of E-Waste Properly. ...

Maintain your Electronics. ...

Repurpose or Re-evaluate. ...

Store Data Online. ...

Buy Energy Star Rated Electronics. ...

Learn to Repair Broken Electronics at Home.

Explanation:Reusing the precious metals and plastics in old cell phones alone instead of making or mining more of them would save as much energy as flipping off the power to 24,000 US homes for an entire year.

The convergent plate boundaries are formed when two lithospheric plates move toward each other. The nature of a convergent boundary depends on the type of plates that are converging. The three types of plate convergence are

Answers

Answer:

1. oceanic-oceanic boundaries

2. oceanic-continental boundaries

3. continental-continental boundaries

Explanation:

The three types of plate convergence are:

1. oceanic-oceanic boundaries: this occurs when two oceanic plates clash; thereby the heavier plate forms below the lighter plate resulting in dark, heavy, basaltic volcanic islands.

2. oceanic-continental boundaries: this occurs when there is a collision between oceanic and continental plates, resulting in the downward movement of oceanic plate, while the volcanic arc rises on land

3. continental-continental boundaries: this occurs due to the massive crust of slabs clashing against each other. Thereby leading to big mountains forming from folded, faulted, and thickened convergent boundaries

give examples of the multicultural society in the uk

Answers

here's your answer..

Multiculturalism is the practice of giving equal attention to many different backgrounds in a particular setting. An example of multiculturalism is an honors classroom with students from several different countries and who speak different languages.

What was the most impactful trade route you learned about? Explain the importance of it.

Answers

Answer:

The silk route because it describe that it was one of the most important

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