In ΔUVW, the measure of ∠W=90°, the measure of ∠U=15°, and VW = 81 feet. Find the length of WU to the nearest tenth of a foot.

Answers

Answer 1

Answer:

The length of WU is 302.3 feet.

Explanation:

By Geometry we know that sum of internal angles of a triangle equals 180º, then the measure of angle V is:

[tex]\angle V = 180^{\circ}-\angle U - \angle W[/tex] (1)

[tex]\angle V = 180^{\circ}-15^{\circ}-90^{\circ}[/tex]

[tex]\angle V = 75^{\circ}[/tex]

Please notice that segment VW is opposite to angle U and segment WU is opposite to angle V, then we use Law of Sine to calculate the value of the latter segment. All sides are measured in feet:

[tex]\frac{VW}{\sin U} = \frac{WU}{\sin V}[/tex] (2)

If we know that [tex]VW = 81\,ft[/tex], [tex]\angle U = 15^{\circ}[/tex] and [tex]\angle V = 75^{\circ}[/tex], then the length of segment WU is:

[tex]WU = VW \cdot \left(\frac{\sin V}{\sin U} \right)[/tex]

[tex]WU = 302.3\,ft[/tex]

The length of WU is 302.3 feet.


Related Questions

States support terrorism by which of the following
A. providing sanctuary to terrorists
B. by giving terrorists political power
C. supplying weapons, money and intelligence to terrorists
D. hiding terrorists in the military
E. 2 out of 4 choices are correct ​

Answers

Answer:

C

Explanation:

The answer is C because we do supply goods and weapons to them or they steal them either way the answer is C

describe Madagascar before colonization?

Answers

Answer:

the island was uninhabited until the first Malayo-Indonesian seafarers arrived some 1800 years ago. ... Beginning in the 1790s, Merina rulers succeeded in establishing hegemony over the majority of the island, including the coast.

Explanation:

I hope this helps...


5. What happens during a volcanic eruption? Explain your

Answers

Answer:

Deep within the Earth it is so hot that some rocks slowly melt and become a thick flowing substance called magma. Since it is lighter than the solid rock around it, magma rises and collects in magma chambers. Eventually, some of the magma pushes through vents and fissures to the Earth's surface.

Explanation:

Deep within the Earth it is so hot that some rocks slowly melt and become a thick flowing substance called magma. Since it is lighter than the solid rock around it, magma rises and collects in magma chambers. Eventually, some of the magma pushes through vents and fissures to the Earth's surface.

Explain India's Caste System
What is it? Why did they use it?

Answers

Answer:India's caste system is among the world's oldest forms of surviving social stratification. ... The system which divides Hindus into rigid hierarchical groups based on their karma (work) and dharma (the Hindi word for religion, but here it means duty) is generally accepted to be more than 3,000 years old.

Explanation:

Define/ Describe "Tidal Bore. How does it apply to the Chesapeake Bay?

Answers

Answer:

A tidal bore is a rare natural phenomenon in which an incoming tide creates a wave of water that travels up along a river or a narrow bay causing water to flow against the river's current. Tidal bores occur in relatively few locations worldwide.

Tidal level in the Chesapeake Bay is not affected by moon phases. During the full and new moons, the high tidal level should be the highest. During 1st and 3rd quarter moons, the high tides should be the lowest.

Explanation:

write what Roberta Bondar did as a canadian astronaut

Answers

Bondar flew on the NASA Space Shuttle Discovery during Mission STS-42, January 22–30, 1992, during which she performed over 40 experiments in the Spacelab. Her work studying the effects of low-gravity situations on the human body allowed NASA to prepare astronauts for long stays in the space station.

How do the four fundamental forces differ

Answers

Answer:

The major differences between the four fundamental forces are their relative strengths and the range over which they act

Explanation:

The four fundamental forces are the strong nuclear force, the electromagnetic force, the weak nuclear force and gravitational force.

9) Which of the following is not a source of our atmosphere?

comets
plants
animals
solar radiation
outgassing from volcanoes

Answers

Answer:

The answer is comets.

Explanation:

Comets are outside of our atmosphere up in outer space lol have a good day

Which of the following would most likely be a valid informational text ? A an encyclopedia B a blog C a novel

Answers

Answer:

A

Explanation:

Life Cycle of a Star for medium mass stars

Answers

A star's life cycle is determined by its mass. The larger the mass, the shorter the life cycle. It is now called a main sequence star and will remain in this stage, shining for millions or billions of years to come. As the main sequence star glows, hydrogen in the core is converted into helium by nuclear fusion.

Which of the following processes causes the Earth's tectonic plates to move?
A. the daily cycle of high and low tides
B. convection currents in the Earth's mantle
c. the continuous flow of ocean currents
D. high pressure in the atmosphere

Answers

B. Convection currents in the earths mantle

Convection currents in the Earth's mantle processes causes the Earth's tectonic plates to move. Option (b) is correct.

What do you mean by Tides?

The twice daily regular rise and fall of ocean water is known as a tide. The tides are caused by the sun and moon's powerful gravitational pull on the surface of the earth.

The molten rock in the mantle, below the crust, is known as magma. Convection currents are created by the intense heat and pressure that exists within the earth. The tectonic plates that make up the earth's crust shift as a result of these currents.

The science of rock and other material movement beneath the surface of the Earth is known as plate tectonics. Huge rock slabs known as tectonic plates cover the partially molten Earth's mantle, which is located under the crust.

Therefore, Option (b) is correct. Convection currents in the Earth's mantle.

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The Mediterranean Sea borders these countries. choose more then 1

Andorra
Italy
Spain
Greece
Portugal

Answers

Answer:

Italy, Spain, Greece.

Explanation:

The Mediterranean Sea region — the largest of the semi-enclosed European seas — is surrounded by 22 countries, which together share a coastline of 46 000 km. It is also home to around 480 million people living across three continents: Africa, Asia and Europe.

Answer:

he is right it is Italy, Spain, Greece

I had the same question =.=

-Under!fell Sans

Around 10,000 years ago, from rivers. allowed crop growing to be farther A. wagons O B. irrigation O C. paving D. the plow​

Answers

Answer:

B

Explanation:

Answer:

B. Irrigation

Explanation:

Ap3x

Which of the two categories of religion do you feel is more predominant in your area?

Answers

Answer: Polytheism

Explanation:

I currently live in Thailand where 94.6 % of the population is estimated to be Buddhist. In Buddhism, gods are called deva and live in a separate realm of existence consisting of 27 heavens or svarga.

Which form of precipitation is shown in the image?

Answers

Answer:

rain

Explanation:

Answer:

This is Rain.

Explanation:

The different types of precipitation include:

. Snow

. Rain & Snow mixed

. Drizzle

. Snow grains

. Hail

. Rain

This picture shows rain.

Has anyone wanted to see the Mona Lisa or seen the Mona Lisa?

Answers

Answer:

I would love to see the Mona Lisa

Explanation:

Hope this helps and hope I be brianlist

Answer:

There is really no point in wanting to see the Mona Lisa when we've seen it a hundred times :\

Explanation:

But it wouldn't hurt to see it face to face

Which of the following best explains what the central business district data indicate?

Answers

Answer:

Government policy makers and business partners have focused infrastructure efforts on creating a downtown work environment that is positive for economic development.

Explanation:

Businesses and governments have to work in partnership to create connected urban spaces and promote local economic development by expanding revenues for existing companies and creating new businesses.

Central business district data indicate Government policymakers and business partners have focused infrastructure efforts on creating a downtown work environment that is positive for economic development.

What is economic development?

Economic and social development is the method by which the economic well-being and quality of life of an entire nation, region, local community, or individual are improved in accordance with specific goals and objectives.

Government policymakers and business partners have concentrated infrastructure efforts on creating a positive downtown work environment for economic development.

Businesses and governments must collaborate to create connected urban spaces and support local economic growth by increasing revenues for existing businesses and creating new ones.

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You have been hired to build a landfill for a neighboring community. use recycle city's to help you. What are 5 layers of landfill needs to be safe?

Answers

Answer:

1:Bottom layer next to earth need to be 2 feet of clay that is super compact

2:Strong thick of plastic

3:One foot layer of gravel with pipes

4:Geotextile Fabric

5:One foot of Compact Soil

Hope dis helps

Farm subsidies are an ongoing source of controversy in agriculture. Write a short paragraph summarizing arguments for and against farm subsidies. Give your opinion on the issue: are farm subsidies fair and beneficial?

Answers

Answer:

Agricultural subsidies are supposed to lower food prices and help farmers. However, they don't always do either. Moreover, lower food prices and more farmers have their own social costs.

The truth is that all across the world farmers are getting more efficient and can grow and harvest more crops with fewer people. That isn't about to change any time soon, and there's very little government can do about it.

There are several ways you can go about subsidizing agriculture, for example:

Direct cash payments to farmersQuotas and production controlsLabor lawsTax creditsProviding water and electricity at reduced pricesAnd so forth.

The problem is that, as time goes on, everyone gets used to the system and it gets out of whack with actual demand. For example, tobacco use has been steadily dropping, but tobacco farmers still get subsidies (either to grow or not to grow) and the Western nations grow tobacco to export (along with the health detriment, which is now hitting Africa and China). 

As another example, corn is cheap, but the U.S. produces about five times as much now as it did in 1940, although the population has only doubled. As such, a lot of it is just fed to livestock. More problematically, a lot of it is exported to Mexico, where corn can be grown more cheaply, but can't be sold against subsidized American corn, which costs less. 

Here in Canada, there is a quota system for dairy which means we don't produce much surplus. However, at retail, milk cost about twice here what it does in the U.S.  We can't figure out how to dismantle the system so at least milk will cost about the same as it does in other countries. Trying to dismantle the system might be more expensive than leaving it in place. It might also mean more milk is produced than is consumed, which would again push the market out of whack.

Explanation:

This is 2 weeks late, but now you have an answer

Answer:

Explanation:

I got 100% here is what I wrote

Many farm subsides have their pros but also have cons as well. A lot of farm subsides allow fewer people to work at farms but are more expensive. Many people have converted to this way of farming which allowed them to charge how ever they want. Depending on how much a certain crops demand is and how much is being produced it dictates if its going to be harder or easier to obtain. For example corn is a cheap crop but the US has produced twice as much corn as they did back in 1940 and over that time the population has doubled. A lot of the corn is sent to Mexico where it can be grown for cheaper or used to feed livestock, but the corn grown in Mexico cannot be sold against American corn.

Plssss help me I’m giving brainlest!!!!

Answers

Answer: The answer is not the second one or the fifth one and it is not the first one, nor is itthe fourth one.

Explanation: THE ANSWER IS THE THIRD ONE. I think..

25% of what number w is 9?

Answers

Answer:

25% of 36 is 9

Explanation:

i hope this helps :)

all you have to do is multiply 9 either by 4 or by 25/100

[tex]9 \times 4 = 36 \\ 36 = 25 \div 100[/tex]

so this is what the problem should look like

9/36=25/100

w= 36

hope this was helpful:)

Which of these would most likely be shown on a map of a more developed country’s quaternary economic sector?

Answers

I would say “C” Major universities and research institutions, because the Quaternary sector is based on processing and sharing information and is considered the “knowledge based” part of the tertiary sector. Major universities and research institutions require a lot of knowledge based work and have job positions working their such as teachers and researchers. Hope this helps. :)

Heavy snowfalls are unusual in China. Occasional light snow occurs in some parts of the country. Do you think Shenyang or Guangzhou is more apt to receive snow?

Answers

Answer:

Shenyang is more adapt to snow as ot has small warm season for 4.5 months.

Explanation:

China is a country located along with East Asia and has a diverse climate that ranges from tropical and subarctic in the north. mt Everest is consumed to be china's highest point having an elevation of 8848 meters.  The snowfall coves northern China such as in Tianjin and Beijing. Central China is also cold as humidity is high and buildings are not heated. Snow is found in Shenyang during the period of November and in early December.

What is characteristic of the economic activities and levels of development in
Russia, Central Asia and the Caucasus?

Answers

Answer:

"Central Asia is an extremely large region of varied geography , including high passes and mountains, vast deserts, and especially treeless , grassy steppes , "

"Foreign trade is tremendously important to the Russian economy. The country has generally enjoyed a healthy trade surplus since the dissolution of the solvet Union .Primary exports include oil ,metals ,machinery, chemicals, and foresty products. "

Explain why the Haber-Bosch process contributes to water pollution.

Select one:

a.
The use of fertilizer created in the process creates extra nitrogen in soil, which leaches into runoff.

b.
The process creates excessive amounts of oxygen, which is expelled into water sources such as rivers.

c.
The use of increased temperature and pressure to make fertilizers pollutes water.

d.
The process involves dumping large amounts of nitrogen into large bodies of water such as lakes and oceans.

Answers

Answer:

A.)

Explanation:

I just took the test it is in fact A

The process involves dumping large amounts of nitrogen into large bodies of water such as lakes and oceans. hence option D is correct

What is the Haber-Bosch process?

The process was invented by tow chemist chemists Fritz Haber and Carl Bosch therefore the name Haber-Bosch process. It involves the addittion of nitrogen while a process is ongoing.

Learn more about the Haber-Bosch process here:

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Where would you find convergent and divergent plate boundaries relative to convection currents in the mantle?

Answers

Answer:

Convergent plates are plates that move towards each other, and the divergent plates move away from each other. Convection currents are basically magma currents under the crust, therefore moving the plates.

Hope this answer helps you! If it does, feel free to give Brainliest, peace!

9. Which political pattern resulting from European colonization characterized
South Africa for much of the second half of the twentieth century?

Answers

Answer:

9

Explanation:

sorry need points$$$$

position of Nigeria in geography​

Answers

Nigeria is a country in West Africa.

Qual o órgão laborou a divisão regional oficial do Brasil quantas e quais regiões encontramos nesse modelo regionalização

Answers

Answer and Explanation:

O Instituto Brasileiro de Geografia e Estatística (IBGE) foi o orgão que criou a divisão atual do Brasil, que apresenta as regiões: norte, nordeste, sudeste, sul e centro-oeste.

Essa divisão regional é utilizada como oficial desde de 1970, entretanto, passou por algumas adaptações, principalmente durante os anos 90, por conta das alterações na constituição federal, que exigiu que uma nova regionalização fosse estabelecida.

Which observation indicates that rain is approaching?

Answers

Answer:

grey/black clouds.

Explanation:

grey/black clouds are heavy, and full of water. it will soon drop all that water, creating rain.

Answer:

Falling barometer, increased cloudiness, and rising temperatures.

Explanation:

The falling barometer means that the air pressure is decreasing in air pressure. Clouds form when the air rises then cools.

:)

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