What is the value of X6?

Show the solution.

What Is The Value Of X6? Show The Solution.

Answers

Answer 1

Answer : The value of [tex]x_6[/tex] is [tex]\sqrt{7}[/tex].

Explanation :

As we are given 6 right angled triangle in the given figure.

First we have to calculate the value of [tex]x_1[/tex].

Using Pythagoras theorem in triangle 1 :

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](x_1)^2=(1)^2+(1)^2[/tex]

[tex]x_1=\sqrt{(1)^2+(1)^2}[/tex]

[tex]x_1=\sqrt{2}[/tex]

Now we have to calculate the value of [tex]x_2[/tex].

Using Pythagoras theorem in triangle 2 :

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](x_2)^2=(1)^2+(X_1)^2[/tex]

[tex](x_2)^2=(1)^2+(\sqrt{2})^2[/tex]

[tex]x_2=\sqrt{(1)^2+(\sqrt{2})^2}[/tex]

[tex]x_2=\sqrt{3}[/tex]

Now we have to calculate the value of [tex]x_3[/tex].

Using Pythagoras theorem in triangle 3 :

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](x_3)^2=(1)^2+(X_2)^2[/tex]

[tex](x_3)^2=(1)^2+(\sqrt{3})^2[/tex]

[tex]x_3=\sqrt{(1)^2+(\sqrt{3})^2}[/tex]

[tex]x_3=\sqrt{4}[/tex]

Now we have to calculate the value of [tex]x_4[/tex].

Using Pythagoras theorem in triangle 4 :

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](x_4)^2=(1)^2+(X_3)^2[/tex]

[tex](x_4)^2=(1)^2+(\sqrt{4})^2[/tex]

[tex]x_4=\sqrt{(1)^2+(\sqrt{4})^2}[/tex]

[tex]x_4=\sqrt{5}[/tex]

Now we have to calculate the value of [tex]x_5[/tex].

Using Pythagoras theorem in triangle 5 :

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](x_5)^2=(1)^2+(X_4)^2[/tex]

[tex](x_5)^2=(1)^2+(\sqrt{5})^2[/tex]

[tex]x_5=\sqrt{(1)^2+(\sqrt{5})^2}[/tex]

[tex]x_5=\sqrt{6}[/tex]

Now we have to calculate the value of [tex]x_6[/tex].

Using Pythagoras theorem in triangle 6 :

[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]

[tex](x_6)^2=(1)^2+(X_5)^2[/tex]

[tex](x_6)^2=(1)^2+(\sqrt{6})^2[/tex]

[tex]x_6=\sqrt{(1)^2+(\sqrt{6})^2}[/tex]

[tex]x_6=\sqrt{7}[/tex]

Therefore, the value of [tex]x_6[/tex] is [tex]\sqrt{7}[/tex].


Related Questions

Using your own knowledge. Examine the primary and secondary effects of an earthquake or volcanic eruption that you have studied.

Answers

Answer:

The primary effects of earthquakes are caused by the surface rupture along the fault and by the ground shaking via the earthquake energy release. The secondary effects are the effects that occur directly as a result of this earthquake shaking and energy release, i.e., the onset of a tsunami wave, or a landslide.

Explanation:

What are the differences between emigration, immigration and migration?

22 POINTS!

Answers

Answer:

Emigrate means to leave one's country to live in another. Immigrate is to come into another country to live permanently. Migrate is to move, like birds in the winter. The choice between emigrate, immigrate, and migrate depends on the sentence's point of view.

What is tidal locking in relation to the Moon and Earth?
A. The far side or "dark side" of the Moon is always in shadow making it impossible to see.

B. Tidal locking make the ocean tides on Earth produce two high tides and two low tides every 24 hours.

C. Tidal locking keeps the Moon in a synchronous orbit so we see only one side as it orbits Earth.

D. Tidal locking keeps Earth is a steady orbit around the Moon.

Answers

Explanation:

I think it is B. I'm not sure, God bless you

ANSWER FIRST AND U GET WHATEVER U WANT

Answers

Can you please mark me as the brainliest answer and have an amazing day!
Thank you so much!

Which of the following are the correct properties of slope?
Check all that apply.
A. Lines that go down from left to right should have a negative
slope.
O B. Lines that go up from left to right should have a positive slope.
C. The slope of a steep line with a positive slope should be smaller
than the slope of a flat line.
D. Lines that have positive slopes and are equally steep should have
the same slope.
E. The slope of a steep line with a positive slope should be bigger
than the slope of a flat line.

Answers

Answer:

A, B, D, E

Explanation:

Out of the aforelisted options, 4 out of 5 are correct. And like the question had stated, mentioning all that are correct. They are:

Lines that go down from left to right should have a negative

slope.

Lines that go up from left to right should have a positive slope.

Lines that have positive slopes and are equally steep should have

the same slope.

The slope of a steep line with a positive slope should be bigger

than the slope of a flat line.

The correct properties of slope are;

Lines that go down from left to right should have a negative slope.Lines that go up from left to right should have a positive slope. Lines that have positive slopes and are equally steep should have the same slope.The slope of a steep line with a positive slope should be bigger than the slope of a flat line.

According to the question, we are to discuss about slope and its property. As a result of this we can see that Lines that have positive slopes and are equally steep should have the same slope.

Learn more about slope at;

https://brainly.com/question/6531433

True or false? An intrusion
is always younger than
a fault.
True
False

Answers

Hm well an intrusion is always younger then the rock layers beneath it and the fault is always younger than the rock layers that cut through it so I would use this information to say false

how do people help millions 100 millions of people

Answers

Answer:

By trying to help them, and spread positivity, and just be kind to everybody. :D

Explanation:

Answer:

You can spread positivity through out the world :D

Explanation:

what country has not experienced balkanization?

Answers

Answer:

Kosovo

Explanation:

Hope this helps

Why are the Rocky Mountains larger than the Appalachian Mountains?

Answers

Answer:

The Appalachian mountains were formed over 480 million years ago. That is at least quadruple the millions of years that it took for the Rockies to form. ... The Appalachians were actually at one time presumed to be as large as or bigger than the Rockies, but time and erosion have whittled them down to where they stand now.

Answer:

Hope it helps...

Explanation:

The Appalachian mountains were formed over 480 million years ago. That is at least quadruple the millions of years that it took for the Rockies to form. ... The Appalachians were actually at one time presumed to be as large as or bigger than the Rockies, but time and erosion have whittled them down to where they stand now.

in what way does a transform boundry differ from the other boundry types​

Answers

Answer:

Transform plate boundaries are different from the other two types of plate boundaries. At divergent plate boundaries, new oceanic crust is formed. At convergent boundaries, old oceanic crust is destroyed. But at transform plate boundaries, crust is neither created nor destroyed

Explanation:

In a market economy, what determines for whom goods are produded?
OA. government and the market
OB. politicians and the bureaucracy
OC. supply and demand
OD.
custom and tradition
Reset
Submit

Answers

Answer:

In a market economy, the supply and demand determine for whom goods and produced.

Explanation:

There are multiple different economic types, all of which have experienced spikes and popularity, but some also decline. One of the economic types that seem to have been taking over the world since the past century and still continues to do so, is the market economy.

The market economy is an economic type where the businesses are privately owned, and the government only has a regulatory role so that laws are not broken and to protect the people. Also, the businesses have total freedom to decide what, how much, and in which manner to produce goods and where to supply them, and in what amount. The supply is directly dependent on the demand for a particular product in a particular area, so how much is demanded that much is supplied.

Why do scientists think Earth's core contains iron?

Answers

Scientists think Earth’s core contains iron because they have inferred that the core is iron by conducting seismic experiments. The magnetic field is also a strong clue.

Answer:

Iron is a heavy element and would sink into the planet.

Explanation:

Which is the best method for a senator to have power in making legislation?

serving on a committee
meeting with constituents
meeting with state officials
confirming federal appointments

Answers

Answer:

A  serving on a committee

Explanation:

took the quiz :)

Of all of these options the best method that is required for a senator to have power in making legislation is for them to serve on a committee.

Before a senator can have the power to make legislation in the United States, they should have served in the committee in any of these capacities:

Monitor the operations of the government that are still ongoing.They should be able to take and identify core issues that are in need of review in the house.They should be able to help in gathering information and also carrying out evaluations on them.They should also have the ability to recommend the best course of action that has to be followed.

In conclusion, the to get the power to make legislation, the senator has to serve in a committee.

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CAn some one help me ASAP

Answers

Answer:

Explanation:

No

The table below shows the fossils of organisms found in various layers of an undisturbed rock:

Which statement about the organisms whose fossils are found in the rock is correct?

A: Organism W existed much before Organism Y

B: Organism Y existed over the longest period of time

C: Organism Y and Organism U were alive over the same time span

D: Organism W existed over a shorter period of time than did organism X

Answers

I think answer should be c. Please give me brainlest let me know if it’s correct or not okay thanks I hope you have a great day

Look at the map above. Which of the following statements is true?


A.

Baja California is located at number 5.

B.

The Isthmus of Panama is located at number 2.

C.

The Yucatan Peninsula is located at number 4.

D.

The Sierra Madre Occidental is located at number 3.

Answers

Answer:

c) the yucatan peninsula is located at number 4

Explanation:

What is the average January temperature for most of South America?

Answers

Answer:High

°F Low °F City

68 46 Bogotá, Colombia

80 63 Brasília, Brazil

82 66 Bucaramanga, Colombia

86 67 Buenos Aires, Argentina

Explanation:

ANSWER ASAP AND I WILL GIVE YOU A BRAIN>AND HELP U WITH ONE OF UR PROBLEMS

Answers

What’s there to answer ?

Answer:

Persian gulf

Explanation:

it seperates the saudi Arabia and iran and was named for the historic empire of persia

what is one solution to the population problem in europe?

Answers

Answer:

Empower women. Studies show that women with access to reproductive health services find it easier to break out of poverty, while those who work are more likely to use birth control. ...

Promote family planning. ...

Make education entertaining. ...

Government incentives. ...

5) One-child legislation.

why are voluntariness and responsibility important element of freedom?​

Answers

Answer:

Only who is responsible can be free, while voluntariness is the description of an act that is not caused by an effect, but by free choice (one can be held responsible for). Voluntariness is both the cause and the result of freedom. Responsibility preserves freedom.

Answer:

Only who is responsible can be free, while voluntariness is the description of an act that is not caused by an effect, but by free choice (one can be held responsible for). Voluntariness is both the cause and the result of freedom. Responsibility preserves freedom.

Explanation:

Describe the three main ways that volcanoes are created.

Answers

Answer:

Volcano World

There are three main places where volcanoes originate: Hot spots, Divergent plate boundaries (such as rifts and mid-ocean ridges), and. Convergent plate boundaries (subduction zones)

Answer:

1.Divergent boundaries (crust moves apart, magma fills in)

2.Convergent boundaries (magma fills when one plate goes beneath another)

3.Hot spots (a large magma plume rises from mantle)

hope this helps :)

8. Which is the result of zero population growth? (1 point)
a population stability
b no natural increase
c a rapid decline in human population
d the elimination of high-density populations​

Answers

Answer:

its a. population stability

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A. Hybridization
B. Genetic modification
C. Protected cropping
D. Both A and B

Answers

Explanation:

D. Both A And B

C. Protected cropping

Answer is D:both A and B

of you know southern and eastern asia geography please help​

Answers

Answer:

1. Japan

2. India

3. South Korea

4. Vietnam

5. North Korea

6. China

A. Sea of Japan

B. South China Sea

C. Yellow Sea

D. Huang He

E. Bay of Bengal

F. Yangtze

G. Ganges River

H. Indian Ocean

Explanation:

Under numbers we have countries of Southern and Eastern Asia. The largest among them is China (6).

Under letters we have water surfaces, including rivers and oceans.

Answer:

the other guy is right

Explanation: give him brainliest because im du-mb

3. What is one cause of a country's population increase?
70%
A movement of people from rural areas to the cities
e a higher death rate than birthrate
C a higher birthrate than death rate
Dincreased rates of emigration
A higher birth rate then death rate

Answers

Higher birth rate than death rate
Let me know if you need more of an explanation.
I have a lot to do for you to do that my buddy has

What environment do radish seeds need for growth

Answers

Answer:

For the most part radish seed growth is best when they are planted in cool soil; early spring or fall are the preferred seasons for many varieties. Next, be sure to get the soil in good shape before planting – loose, full of seasoned organic material, but not overly fertile. Moisture and soil depth must be right, too.

If a nonrenewable
resource cannot be returned to the source how can people use it in the future?

Answers

Answer:

recycle

Explanation:

I'm sure in the near future, we will be able to find ways to reuse objects that we couldn't before, especially as the world advances.

Answer:

They can't

Explanation:

The difference between these two types of resources is that renewable resources can naturally replenish themselves while nonrenewable resources cannot. This means that nonrenewable resources are limited in supply and cannot be used sustainably.

What does the force of attraction called gravity act on?
O select masses
O every mass
O nearby masses
O no masses

Answers

Answer:

Every Mass

Explanation:

Answer: Every Mass

Explanation: Have a good day/night

Which statement is true about relative dating and radioactive dating?

Both use half-life dating to find an exact age.
Both use the method of superposition.
Both compare rocks to the Earth layer they were found in.
Both compare the object to an event in history.

and please explain for branliest.

Answers

The correct answer is D. Both compare the object to an event in history.

Explanation

Relative dating is a method of dating and classifying the age or presence between two or more items. This method is based on three principles, that of superposition, continuity, and paleontological identity. On the other hand, radioactive dating is another dating method that uses the principle of decay of radioactive isotopes to know the age of one element concerning another. These two methods are generally used in paleontology, geology, and other sciences that study the antiquity of different objects, materials, or elements and need to date broad time spectra. Therefore, the correct answer is D. Both compare the object to an event in history.

Answer: Both compare the object to an event in history.

Relative dating is a way to find the age of an object by comparing it to the known age of things found in the layers of Earth around the object. The age can also be related to a known event in time. This method provides an estimated age and is typically shown as a range of years.

Radioactive dating is done by examining the atomic particles found in an object. The atomic particles decay over time at a predictable rate. Scientists are able to measure the rate of decay to establish the age of the material. (This method provides a very specific age)

You should not get up. You should not make dinner. You think you feel fine. You need to stay in bed. You are sick. You need to give your body a chance to get well. You will only get better with rest.

Answers

Answer:

Okay so this is perfect if any of you are sick I'm am Polish and in Poland when  you got sick you drank onion juice. Cut up onion, put it in a jar (you can add some sugar to it to make it taste better), close it until the onion relises the jucie, drink one spunfull of it a day good luck it worked for me every darn time

Explanation:

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