The hypotenuse of 45 -45 90 triangle measure 22/2 units

Answers

Answer 1

Answer:

The lenght of one leg is 22 units

Explanation:

Given

[tex]h = 22\sqrt 2[/tex] --- hypotenuse

Required

The length of one side (l)

In a 45-45-90 triangle, the two sides are equal; i.e.

[tex]x^2 + y^2 = h^2[/tex]

Where:

[tex]x = y[/tex] --- the legs of the triangle

So, we have:

[tex]x^2 + x^2 = (22\sqrt{2})^2[/tex]

[tex]2x^2 = (22\sqrt{2})^2[/tex]

This gives:

[tex]2x^2 = 968[/tex]

Divide both sides by 2

[tex]x^2 = 484[/tex]

Take square roots of both sides

[tex]x = \sqrt{484}[/tex]

[tex]x=22[/tex]


Related Questions

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A seaweed
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C rock type
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Answer:

b

Explanation:

abiotic would include salinity and ocean currents

Andrew drew this diagram to show a certain type of weather front. Which type of front is it?

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The answer is stationary front

Describe the Human and Physical features of the coastal areas.

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Answer:

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Answer:

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Its the United States
united states with 934.3 gallons yearly

Explain one physical factor that influences the distribution of coral reef ecosystems?

If I could get an exam style answer, worth 3 marks that would be great <3

Answers

Answer:

Overfishing and Destructive Fishing Methods. Overfishing by commercial producers in shallow waters depletes species of fish which are vital to the health of the reef ecosystem. ...

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thank me later

Which of the following is not one of the three important developments that was made in agriculture in the past years? A. a growing labor force 1 B. the use of biotechnology C. increased mechanization D. the development of agriculture as a business ​

Answers

Answer:

The correct answer is A.

Explanation:

Becuase there was always a large labor force for the agricultural industry so this has not been a major development over the past 50 years.

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Answers

Answer:

The correct answer is - B. talc is the softest mineral.

Explanation:

Mineral talcs are clay mineral made up of hydrated magnesium silicate that is a translucent mineral with a pearly luster and not metallic luster. It is the softest mineral present with hardness of 1 on Mohs scale.

It is cleaves in thin layers to make powder or talc. It is used as baby powder mixed with corn starch. The chemical formula is Mg3Si4O10(OH)2.

What is the Earth's outermost layer? A. The inner core B. The mantle C. The outer core D. The crust Please select the best answer from the choices provided

Answers

The answer is D. The crust.

We’re standing on the crust. This is the outermost layer.

Answer:

D

Explanation:

explain factors that influence vegetation distribution in Kenya​

Answers

Answer:

Factors which influence vegetation. There are four major factors which influence the nature and growth of vegetation. These are: climate, soils, nature of the surface, and man. Light intensity influences the manufacture of plant food, stem length, leaf color and flowering. Generally speaking, plants grown in low light tend to be spindly with light green leaves. A similar plant grown in very bright light tends to be shorter, better branches, and have larger, dark green leaves.

Explanation:

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Answers

Answer and Explanation:

De acordo com o Atlas do Desenvolvimento Humano, os fatores que definem o crescimento do desenvolvimento humano são o acesso a educação, o padrão de vida elevado, o progresso da nação a qual o individuo pertence, a disponibilidade de renda e saúde, o acesso ao conhecimento e a extensão da vida dos individuos. Todos esses fatores são utilizados para calcular o IDH que é chamado de índice de desenvolvimento humano.

É importante que você saiba que esse não pe o site brasileiro e sim o site estadunidense. Por esse motivo, não é permitido que você poste perguntas em português fora do campo "World Languagens" independente de qual materia a sua pergunta é.  Caso contrario, a sua poergunta pode ser reportada.

The study of weather patterns can predict the trajectory and intensity of this
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Answer:

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Explanation:

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Answer:

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1
The Earth's temperature is rapidly rising around the North Pole because of all of the
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the additional heat gained from the sun
(B)
the frequent flooding and global droughts
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the emission of greenhouse gases
(D)
the melting of the Arctic snow

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Answer:

I think D because the more the ocean shows the more heat is absorbed

Explanation:

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That will be d) scalene triangle

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Answer:

Yoro, Honduras

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Answer:

natural resources like Rocks, minerals , and fossil fuels

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How social media affects young persons safety​

Answers

Answer:

But what impact is all of this social networking having on young minds?” Teens' developing brains are extremely vulnerable to so much time online, and because they often have difficulty self-regulating their screen time, risks increase which means they are more susceptible to peer pressure and cyberbullying.

Explanation:

Answer:

In many ways, some include:

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Explanation:

Social media is a double edged sword with many pro's and cons.

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Question 3 of 15
What conditions will increase a nation's Human Development Index?
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OD. A commitment to the education of its population
SUBMIT

Answers

Answer:

C number is the answer brudah !!

Which statement best describes a choropleth map?

Answers

Answer:

It uses dots to represent a certain number of people living in an area.

Choropleth maps are usually used in Geospatial data and it's a form of map whereby color is being used to denote certain attributes e.g unemployment rate for countries

hope it helps

have a nice day

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Image courtesy of Reto Stöckli (NASA)

The image above shows how the Earth receives energy on a solstice day. In this image, it's June 21. Because of the light and energy each hemisphere is receiving, which season is the Northern Hemisphere experiencing in this image?

A. winter
B. summer
C. spring
D. fall

Answers

Answer:

Spring

Explanation:

The type of temperature in the area

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In 1–2 sentences, describe a feature that plan (a) shares with the urban planning commonly seen in colonies established by France and Spain centuries later.

Answers

Answer:

grid plan

Explanation:

In simple words, The grid plan, also known as the grid street design or stadium design, is a sort of city layout in which routes travel at perpendicular to one another to create a grid. The cost of infrastructure is often higher for regular grid layouts than for layouts with disconnected streets.

These plans are highly evident as they started right from the ancient france and Spain.

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Answers

Answer:

Overgrazing land for cattle farming leading to soil degradation.

Explanation:

Global Commons theory states that it is necessary for an authority to be raised as a regulatory body, to promote the protection of a global resource. These global resources are associated with environmental resources and the elements that make them up. In this case, we can consider that this theory applies to the existence of overgrazing that degrades the soil globally, since livestock is exercised throughout the world and this activity needs a regulatory body to protect the soil and its elements .

Which international organization main Objective was once provided protection against the Soviet Union

Answers

The North Atlantic Treaty Organization was created in 1949 by the United States, Canada, and several Western European nations to provide collective security against the Soviet Union. NATO was the first peacetime military alliance the United States entered into outside of the Western Hemisphere.

Answer:

North Atlantic Treaty Organization

Explanation:

During the Cold War, NATO focused on collective defence and the protection of its members from potential threats emanating from the Soviet Union.

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A. Colonialism

B. Utilitarianism

C. Nationalization

D. Interdependence

Answers

Answer:

a. colonialism

Explanation:

The high temperature in the upper thermosphere: a. produces a tremendous amount of heat transfer. b. would feel cold to humans due to few molecules for heat transfer. c. is produced primarily by the increased molecular activity of argon and helium. d. is more a measure of sensible temperature than kinetic energy. e. is produced by the absorption of UV radiation.

Answers

Answer:

e. is produced by the absorption of UV radiation.

Explanation:

The thermosphere is a layer of Earth's atmosphere which is directly above the mesosphere and below the exosphere. It extends from about 85 to 500 km altitude above the earth.

In the thermosphere, the temperature is strongly dependent on the level of solar activity. When the Sun is very active and emitting more high energy radiation, the thermosphere becomes hotter by X-ray and UV radiation absorption.

identify the explicit function for the sequence in the table. x:1, 2, 3, 4, 5, y: 8, 14, 20, 26, 32,

Answers

Answer:

The explicit function is y = 6x + 2

Explanation:

Since the change in x, Δx is constant and Δx = 1 and also, the change in y, Δy is constant and Δy = 6, we use the equation of a straight line in gradient form.

So, (y - y₁)/(x - x₁) = Δy/Δx where x₁ = 1 and y₁ = 8

So, substituting the values of the variables into the equation, we have

(y - y₁)/(x - x₁) = Δy/Δx

(y - 8)/(x - 1) = 6/1

(y - 8)/(x - 1) = 6

cross-multiplying, we have

(y - 8) = 6(x - 1)

expanding the brackets, we have

y - 8 = 6x - 6

adding 8 to both sides of the equation, we have

y - 8 + 8 = 6x - 6 + 8

y + 0 = 6x + 2

y = 6x + 2

So, the explicit function is y = 6x + 2

Answer: ;) a(n) =8 + (n-1) •6

Explanation:

You’re welcome, can I get the top answer thing it would be my first

3. Satellite measurements show that the amount of energy the sun produces

A. has been steadily decreasing over time

B.increases and decreases from year to year

C. has been steadily increasing over time

D.stays constant over the time it has been measured

Answers

it has to be either D or C.

Which of the following is an effect of acid rain? A. Plants absorb water more easily. B. Air quality decreases. C. Surfaces of buildings, statues, rocks, and leaves are damaged. D. Heat from the Sun is absorbed more quickly by the atmosphere. Please select the best answer from the choices provided A B C D

Answers

Answer:

surface of building,rocks,leaves,etc are damaged

Explanation:

because they are washed when acid rain occurs

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