In a 45°-45°-90° triangle, if the length of a leg is 6 cm, the length of the hypotenuse is:

In A 45-45-90 Triangle, If The Length Of A Leg Is 6 Cm, The Length Of The Hypotenuse Is:

Answers

Answer 1

Answer:

[tex]6 \sqrt{2} [/tex]

Answer 2

The length of the hypotenuse of a 45°-45°-90° triangle is always √2 times the length of a leg. So, if the length of a leg is 6 cm, then the length of the hypotenuse is 6√2 cm.

Hence, the correct answer is option d.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a 45°-45°-90° triangle, the two other sides are congruent, so the square of the hypotenuse is equal to 2 times the square of one of the legs.

If the length of one of the legs is 6 cm,

then the square of that leg is 6² = 36 cm².

So, the square of the hypotenuse is 2 × 36 cm² = 72 cm².

The square root of 72 cm² is √72 cm² = 6√2 cm².

Therefore, the length of the hypotenuse is 6√2 cm.

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Related Questions

Most periods in the geologic time scale are named for

Answers

Explanation:

The names of the eras in the Phanerozoic eon (the eon of visible life) are the Cenozoic ("recent life"), Mesozoic ("middle life") and Paleozoic ("ancient life"). The further subdivision of the eras into 12 "periods" is based on identifiable but less profound changes in life-forms.

It subdivides all time into named units of abstract time called—in descending order of duration—eons, eras, periods, epochs, and ages. The enumeration of those geologic time units is based on stratigraphy, which is the correlation and classification of rock strata

Answer:

The names of the eras in the Phanerozoic eon (the eon of visible life) are the Cenozoic ("recent life"), Mesozoic ("middle life") and Paleozoic ("ancient life"). The further subdivision of the eras into 12 "periods" is based on identifiable but less profound changes in life-forms.

Answer
1. To insure civilian control of the military, Congress may not appropriate money for military spending for a period longer
than two years.
What article and clause is this located in the constitution

Answers

Answer:

Article One, Section 8, Clause 12 of the Constitution of the United States.

Explanation:

Article One of the Constitution, in its Section 8, Clause 12, establishes limits to the financing of the Congress to the armed forces, establishing that the allocations to the budget in the matter cannot exceed two years of planning. This is due to the fact that, if it were financed for a longer time, the Army could acquire a sum of power that could jeopardize the normal development of democracy.

Who made up most of the Ancient Egypt's population?

Answers

“The vast majority of Egyptians live in Egypt where they constitute the primary ethnic group at 97-98% (about 76.4 million) of the total population. Approximately 90% of the population of Egypt is Muslim and 10% is Christian (9% Coptic, 1% other Christian).”

Use the drop-down menu to complete the sentences.

During his political campaign, Hitler blamed Jewish people for
.

In 1925, Hitler outlined his anti-Semitic ideology in
.

Anti-Semitism can be described as the hatred toward

Answers

Answer:

Germany’s economic struggles

Mein Kampf

Jewish people

Answer:

Germany’s economic struggles

Mein Kampf

Jewish people

Explanation:

on edge

In a paragraph compare North America and South America focus on physical features

Answers

Answer:

PLS brainlist

South America can be divided into three physical regions: mountains and highlands, river basins, and coastal plains. Mountains and coastal plains generally run in a north-south direction, while highlands and river basins generally run in an east-west direction. While North America can be divided into five physical regions: the mountainous west, the Great Plains, the Canadian Shield, the varied eastern region, and the Caribbean. Mexico and Central America's western coast are connected to the mountainous west, while its lowlands and coastal plains extend into the eastern region.

Explanation:

Water, lakes, mountains and deserts are example of physical features found on the Earth's surface. Among these are land forms,climate, soils and animal life.

Mountains and highlands, river basins, and coastal plains are the geographic regions that comprise South America. Mountains and coastal plains flow north to south, whereas high lands and river basins go east to west. The mountainous west, the Great Plains, the Canadian Shied, the diverse eastern area, and the Caribbean are the five physical regions that make up North America. The western coasts of Mexico and Central America are connected to the hilly west, while the lowlands and coastal plains of the east stretch into the region.

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How has time-space compression affected cultural convergence?

Answers

Answer:

Time space compression is affects culture in terms of thoughts, benefits and value systems.

Explanation:

Time-space compression is a concept given by David Harvey referring to the phenomenon that alters the relationship and quantities of space. It occurs as a result of innovation in technology. Time-space compression can be used to understand the facets of contemporary life. Today the world is viewed as one where various cultures are constantly interacting have similar ideologies and belief systems. As the world is speeding ad spreading out time-space compression is seen when internalization takes place. Culture and communities merge together due to rapid growth and change.

Check and double-click the Half Dome placemark. Depending upon your monitor set-up, you may need to zoom in to see more detail. The main weathering process that has formed Half Dome is ___________.

Answers

Answer:

exfoliation

Explanation:

The weathering that caused the creation of Half Dome is called exfoliation. This type of weathering occurs with the progressive wear and tear of the rock, which falls into a "cascade" creating faces in its composition that resemble cliffs.

As you may already know, weathering is the physical and biological chemical process that imposes factors that erode the original rock, to create the soil and geological landscapes.

Which amendment protects the rights of every American, suck as freedom of speech, religion, and press?

Answers

Answer:

The First Amendment to the U.S. Constitution protects the freedom of speech, religion and the press. It also protects the right to peaceful protest and to petition the government. The amendment was adopted in 1791 along with nine other amendments that make up the Bill of Rights – a written document protecting civil liberties under U.S. law.

Please mark me as brainliest

Russia is like __ in that it has a
tremendous reservoir of fresh water.
A. Africa
B, Canada
C. Europe
D, China

Answers

Answer:

B. Canada has a tremendous reservoir of fresh water

What are oases? Explain wellll.

Answers

Answer:

Oases are areas in deserts that have enough water and enough resources for a community to grow out of it. An oase may have minimal amounts of people living in it. This is what oases are in terms of Geography.

Oases are a fertile patch of land in the Desert or Semi-Desert Climate. An Oasis Consists of grass, palm trees, and usually a little pond or lake somewhere there. Most of the animals in the Deserts like to come here as it provides drinking water, and even some food. In Egypt, Oases are becoming very important because the Nile River keep on shrinking, and getting lower over the years, and maybe one day, It will dry out, and they will have to rely on oases in the desert. I hope this helps, and Happy Holidays.

In what ways does South Africa's history of Apartheid remind you of our own history of Segregation and Racism in the U.S.A.?
Give specific examples of laws, people, events.

Include:

Topic Sentence
2-3 ideas, details, examples
Closing sentence

Answers

Answer:

Apartheid was a historical period of state-determined and organized racial segregation in South Africa. It was characterized above all by the authoritarian, self-declared predominance of the “white” population group of European descent over all others. It began at the beginning of the 20th century, had its high phase from the 1940s to the 1980s and ended in 1994 after a phase of mutual understanding with a democratic change of government in which Nelson Mandela became the country's first black president.

Thus, during Apartheid there was a clear racial differentiation, which was reflected in services of different categories for whites and blacks, segregating public services, limiting the right to vote of black people and, in general, relegating black people to a kind of second-class citizenship with respect to whites, which led to the emergence of revolutionary movements such as the one led by Nelson Mandela.

In essence, this South African Apartheid was a replica of the racial segregation that occurred in the southern United States after 1877, with the fundamental difference that in the South African case this segregation was federal, that is, accepted by the government of the nation, while in the case of the southern states this segregation was imposed by the state governments.

The U.S. Forest Service is responsible for controlling and monitoring wildfires. Which drought monitoring index would be most useful for this purpose?

Palmer Drought Severity Index
Keetch Byram Drought Index
Standard Precipitation Index
Climate Prediction Center Index

Answers

Answer:

The most useful drought monitoring index for controlling and monitoring wildfires is Keetch-Byram Drought Index (KBDI) which is an index used to determining forest fire potential.

How is India Caste System different and similar to modern American society?

Answers

Answer:

The caste system in India and the class system in the United States are both based on wealth levels and are set up to favor those of higher class, or those with greater wealth.

When does a solar eclipse occur?
O When the Sun passes between the Moon and the Earth and blocks the moon.
O When the Moon passes between the Sun and the Earth and blocks the sun.
O When too many CMEs are created in one day.
O When the Sun is not producing enough energy.
Next
Submit
Mark this and return

Answers

Answer:

✓When the Moon passes between the Sun and the Earth and blocks the sun.

A solar eclipse occurs when the moon gets between Earth and the sun, and the moon casts a shadow over Earth. A solar eclipse can only take place at the phase of new moon, when the moon passes directly between the sun and Earth and its shadows fall upon Earth's surface.

what are the differents between ports and habour​

Answers

Answer:

Port is nothing but a place for docking, traffic and storage of boats. On the contrary, a harbor is a place for storing boats. Ports are a creation of man, whereas harbors are both natural or man made.

Explanation:

Answer:

A port is a commercial water facility used for ships and their cargo. A harbor is a place of safety for ships and other waterborne vessels. A harbor is a mooring place and offers safe anchorage for the ships. Harbors and ports can be man-made or natural.

Explanation:

i hope i got it right :)

what is the value of the nearest hundredth d=7.09 6.48

Answers

Answer:

6.48

Explanation:

I took it on edge

Which of the following mountain ranges is located to the West of Afghanistan?
a) Ural
b) Caucasus
c) Kunlun
d) Altay

Answers

Answer:

b) Caucasus

Explanation:

Caucasus mountains are occupying the place between Europe and Asia, going from the Black Sea and the Caspian sea. As Afghanistan is in central Asia, we can conclude that the Caucasus is on the west of the country - all the mentioned elements (Europe, Caspian, and Black sea) are located on the west side of Afghanistan.

Ural mountains are in Russia, on the north side of Afghanistan.

Kunlun mountains are located in central China, which means it is located on the east compared to the position of Afghanistan.

Altai mountains are located in Mongolia, which is north-east of Afghanistan.

With reference to the above question, the increase in temperature in the troposphere especially within the last 75 years is primarily due to Group of answer choices the sun random fluctuations in temperature events unrelated to human activity increases in CO2 levels by humans burning fossil fuels

Answers

Answer:

to human activity increases in CO2 levels by humans burning fossil fuels

Explanation:

In the last 75 years, human activities have increased considerably. These activities became increasingly dependent on the burning of fossil fuels, which released ever-increasing amounts of carbon dioxide into the atmosphere. Carbon dioxide, in turn, deteriorated the troposphere, allowing the sun's rays to warm the earth more and more.

A storm surge is characterized by

large hail.
strong winds.
severe lightning.
coastal flooding.
HURRY

Answers

Answer:

Strong winds or severe lightning

Explanation:

A storm is any disturbed state of an environment or in an astronomical body's atmosphere especially affecting its surface, and strongly implying severe weather. It may be marked by significant disruptions to normal conditions such as strong wind, tornadoes, hail, thunder and lightning (a thunderstorm), heavy precipitation (snowstorm, rainstorm), heavy freezing rain (ice storm), strong winds (tropical cyclone, windstorm), or wind transporting some substance through the atmosphere as in a dust storm, blizzard, sandstorm, etc.

Answer:it’s coastal flooding

Explanation:

How does distance decay affect cultural diffusion?

Answers

Ans: Cultural diffusion decreases due to time distance decay. - As time passes, diffusion starts to slow down. Say for example that there is a new hit song that everyone listens to, and the song diffuses too many places.

How might the economic activities of a region affect its physical and human geography

Answers

Answer:

Location and climate have large effects on income levels and income growth through their effects on transport costs, disease burdens, and agricultural productivity, among other channels. Geography also seems to affect economic policy choices. Hope this is fine for you

Treating all aspects of culture equally makes anthropology:

common
specialized
holistic
relative

Answers

Answer:

holistic

Explanation:

Anthropology sees the culture as the intertwined web of connected factors. Human beliefs can’t be separated from their settlements, history, bodies, practices, rituals, etc. That is why anthropologists have to take the whole culture into the account when observing the element of their study and have to think about it as a unifying factor.

This is called the holistic method. To view something holistically means to see that it is inherently interconnected as the system, and can only be referred to as a whole and by taking all the factors into the consideration.


Mass movement that involves rock and soil moving as a single unit
a. creep
c. landslide
b. mudflow
d. slump
Please select the best answer from the choices provided

Answers

Answer:

Landslide is a mass movement that involves rock and soil moving as a single unit.

Explanation:

Mass movement is every movement of a massive scale that occurs on the Earth's surface. There are several types of mass movements, such as creep, landslide, mudflow, and slump. They all have their own characteristics, mostly involving what causes the movement and what kind of material is moving.

The landslides are a type of mass movement that involves rock and soil moving as a single unit. This type of mass movement occurs because of the gravitational pull of Earth. This can not happen everywhere though, but only at places where the rock and soil and not very stable and are located at a steep slope. Over time, the weight of the rock and soil is too much for the bedrock to support it, so it slides down, causing an enormous amount of rock and soil to move in an instant and often to cause huge damage or loss of human lives.

Answer:

its D. slump

Explanation:

slumps move solid, liquid and rocks in a single unit

Can someone please answer this question.

Answers

Athenian democracy is often described as the first known democracy in the world. Other Greek cities set up democracies, most following the Athenian model, but none are as well documented as Athens' democracy. Athens practiced a political system of legislation and executive bills.

So in short Democracy...

What are the characteristics of the rural and urban population​

Answers

Rural areas are the opposite of urban areas. Rural areas, often called "the country," have low population density and large amounts of undeveloped land. Usually, the difference between a rural area and an urban area is clear.

Hope this helped!!
Ans: Rural areas are the opposite of urban areas. Rural areas, often called "the country," have low population density and large amounts of undeveloped land. Usually, the difference between a rural area and an urban area is clear.

What positive developments resulted from the conditions in China during the Warring States period? The need to have more soldiers resulted in less crowding in cities. The need to build stronger walls led to advances in architecture. The need to supply large armies resulted in increased food supplies. The need to have better protection led to innovations in tools and weapons.I NEED HELP ASAP I WILL GUVE BRAINLIST ʕ•ᴥ•ʔ ꨄ ㋛

Answers

Answer:

The need to have better protection led to innovations in tools and weapons.

Explanation:

The Warring States Period is the name given to the period in Chinese history between the 400s BC and the 200s BC. The period was characterized by wars between a number of relatively small states, and ended when China was united by the Qin Dynasty.

The greatest technical innovation of the Warring States period was the introduction of iron tools. Not only in handicrafts, but also in agriculture and military equipment, iron became the predominant material instead of bronze.  

Answer:

d

Explanation:

xd

Describe three ways geographic knowledge or tools are used in professions other than geography

Answers

In the medical field the basic ideas of geospatial technology can be applied. Similar to a GPS, doctors have tools to provide pinpoint measurements of information via remote sensing applications such as X-Rays and other body scans. The GIS then can be applied to take the data along with other forms of information to apply a layering of all the information to produce statistical reports. These reports are then analyzed to form a diagnosis and then determine a predictive measurement for a positive effect.

n
The Sun is divided into three regions.
0 True
False

Answers

Answer:

True

Explanation:

the the zones are

The coreThe radiative zoneThe convective zone
It is true good luck

In what ways do South Africa's history of Apartheid remind you of our own history

Answers

Answer:

not sure but cape colony

Answer:

The zodiacal sign of Taurus does not coincide with the constellation of Taurus. It is a continuation of the sign of Aries and represents the second 30 degrees of the zodiacal circle.

Explanation:

Why does food cost so much in Venezuela?

Answers

Answer: As a result, the bolívar, Venezuela's currency, has been significantly devalued, making it more difficult and more expensive for the government and retail stores to purchase food to stock shelves. This has led to steep price tags and lack of access to basic needs.

Explanation:

Answer:

As a result, the bolívar, Venezuela's currency, has been very devalued, making it alot more difficult and more expensive for the government and retail stores to purchase food to stock shelves. This has led to steep price tags and lack of access to basic needs.

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