Tony Stark has a right triangle with a base of 6 feet and a height of 4 feet. If Dr. Banner were to construct a similar but not congruent right triangle with an area of 108 square feet, what would the dimensions of the Dr. Banner's triangle be?

Answers

Answer 1

Answer:

[tex]Base = 18ft[/tex]

[tex]Height = 12ft[/tex]

Explanation:

Given

Triangle 1 (Tony Stark):

[tex]Base = 6ft[/tex]

[tex]Height = 4ft[/tex]

Triangle 2 (Dr. Banner):

[tex]A_2 = 108ft^2[/tex]

Required

Determine the dimensions of the second triangle

The area of a triangle is:

[tex]Area = 0.5 * Base * Height[/tex]

First, calculate the area of Triangle 1

[tex]A_1 = 0.5 * Base * Height[/tex]

[tex]A_1 = 0.5 * 6ft * 4ft[/tex]

[tex]A_1 = 12ft^2[/tex]

Divide the area of Triangle 2 with the area of triangle to get the scale factor (n) of the area.

[tex]n = \frac{A_2}{A_1}[/tex]

[tex]n = \frac{108ft^2}{12ft^2}[/tex]

[tex]n = \frac{108}{12}[/tex]

[tex]n = 9[/tex]

The scale factor (k) of the dimensions of triangle 1 to 2 is the square root of the scale factor of the area (n):

[tex]k = \sqrt{n[/tex]

[tex]k = \sqrt{9[/tex]

[tex]k = 3[/tex]

For triangle 1, we have:

[tex]Base = 6ft[/tex]

[tex]Height = 4ft[/tex]

The dimension of triangle 2 is:

[tex]Base = 3 * 6ft[/tex]

[tex]Base = 18ft[/tex]

[tex]Height = 3 * 4ft[/tex]

[tex]Height = 12ft[/tex]


Related Questions

Does anyone know the answers to these

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Answer:

air rising is low pressure

Air sinking is high pressure

Explanation:

Answer:

Air rising-Low

Air sinking-High

Which description identifies the lithosphere?

Question 3 options:

a.made up of the upper mantle and composed of cool, rigid rocks


b.made up of the upper mantle and composed of rocks that behave like plastic


c.made up of the crust and a portion of the upper mantle and composed of rocks that are rigid


d.made up of the crust and a portion of the upper mantle and composed of rocks capable of gradual flow

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Answer:

D is the correct answer

please mark me Brainlist

Need some help!
Q.How can economic development of a
country help to improve its social
development?​

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Answer:

sorri no hablar inglés ablar espanis

Explanation:

Sorri :(

Using complete sentences, investigate the effects of nuclear testing on the Pacific Islands. Consider which countries tested weapons, the long-term results, and what changes resulted from the South Pacific Nuclear Free Zone agreement.

Answers

Answer:

There were many countries testing nuclear weapons on the Pacific Islands. These countries included the U.S. and much of Europe. There was death, sickness, and genetic abnormalities happening to those who were exposed to the radiation. It also caused widespread environmental damage and fallout contamination.

Explanation:

After doing research and studying my notes, this is a version of the paragraph needed to answer this question.

Answer:

There were many countries testing nuclear weapons on the Pacific Islands. These countries included the U.S. and much of Europe. There was death, sickness, and genetic abnormalities happening to those who were exposed to the radiation. It also caused widespread environmental damage and fallout contamination.

Explanation:

what is one economic reason why sea level rise and flooding are a problem?​

Answers

Answer:

It could eventually lead to a large impact on municipal tax bases.

Difference between metallic and nonmetallic minerals
At least four point

Answers

Answer:

Metallic Minerals are minerals in which metal elements are present in their raw form. Non-metallic minerals do not contain any metal substances in them. When metallic minerals are melted a new product is formed. ... Non-metallic minerals are often found embedded in young fold mountains and sedimentary rocks.

Explanation:

Help please

_____ happens when gravity moves sediment downhill.

a. Weathering only
b. Mass movement
c. Erosion only
d. Gravity

Answers

Answer:

B

Explanation:

A mass movement denotes a political party or movement which is supported by large segments of a population. Political movements that typically advocate the creation of a mass movement include the ideologies of communism, fascism, and liberalism. Both communists and fascists typically support the creation of mass movements as a means to overthrow a government and create their own government, the mass movement then being used afterwards to protect the government from being overthrown itself; whereas liberals seek mass participation in the state apparatus of representative democracy.

Answer:

B. Mass movement

Explanation:

Gravity can cause erosion and deposition. Gravity makes water and ice move. It also causes rock, soil, snow, or other material to move downhill in a process called mass movement.

can you guys please answer this question for me pleaseeee

Literacy is an important key to learning and communicating.  How can increased literacy rates positively affect quality of life?  

Answers

Answer:More education amongst the people increase the standard of living therefore the quality of life increases

Explanation:

Write a paragraph in which you trace a drop of water as it moves through the hydrosphere, atmosphere, lithosphere, and biosphere.

Answers

Answer:

One way to envision the water cycle is to follow a drop of water around as it moves on its way. ... If the drop wanted to stay in the ocean then it shouldn't have been sunbathing on the surface of the sea. The heat from the sun found the drop, warmed it, and evaporated it into water vapor

n the Arctic, caribou and musk ox eat different kinds of plants, but the plants they eat typically grow in the same area. Therefore, these two species often require the same space in which to feed. In one part of the Arctic, caribou numbers have decreased and musk ox numbers have increased.

Which best summarizes this scenario?

This is an example of cooperation, and the musk ox were better adapted to the environment.
This is an example of predation, and the musk ox were better adapted to the environment.
This is an example of competition, and the musk ox were better adapted to the environment.
This is an example of competition, and the caribou were better adapted to the environment.

Answers

Answer:

Answer is C. This is an example of competition, and the musk ox were better adapted to the environment.

Explanation:

Answer:

This is an example of competition, and the musk ox were better adapted to the environment.

Explanation:

Characteristics of sedimentary

Answers

sub-angular, sub-rounded, and angular

9. Which of the following best explains how the expansion of feedlots for raising cattle has affected
environmental sustainability in rural areas?
a. Concentrating large numbers of farm animals in small spaces has decreased the release of
carbon dioxide in the atmosphere
b. Runoff from animal waste has increased the pollution in local water supplies
C. Feed grains have eliminated potentially harmful invasive plant species from farmland
d. Land development has increased the available water supply for other farming practices
e. Composted manure has introduced valuable nutrients into previously depleted soils

Answers

The best explanation for how the expansion of feedlots has affected environmental stability is that

Runoff from animal waste has increased the pollution in local water supplies

What is pollution?

This is the situation that causes harmful substances that are not environmental friendly to be introduced to the atmosphere.

The expansion caused by the use of feedlots have led to the water supplies being polluted.

Read more on pollution here:

https://brainly.com/question/24704410

Any rock can become metamorphic rock.

True False

Answers

Answer:

false Metamorphic rocks can only form from pre-existing rocks. Metamorphic rocks only form as a result of metamorphism of igneous or sedimentary rocks. Rock melting to form magma defines the upper limit of metamorphic processes. The oldest rock exposed to Earth's surface is a metamorphic rock.

Explanation:

hope this helps sorry if it doesn't have a good rest of your day :) ❤

Answer:

False.

Explanation:

A there is a type od rock named Metamorphic

Carrie is swimming in the ocean. As she floats over a large wave, her
mother calls to her. What does the ocean wave have in common with the
sound waves produced by Carrie's mother? *

Answers

Answer:

Carrie is swimming in the ocean. As she floats over a large wave, her mother calls to her from the beach. What does the ocean wave have in common with the sound waves produced by Carrie's mother? Both kinds of waves progress through a medium.

what is meant by population structure

Answers

Explanation:

Population structure means the 'make up' or composition of a population. Looking at the population structure of a place shows how the population is divided up between males and females of different age groups.

BRAINLIST

Answer:

Population structure means the composition of a population.

When consumers seek to buy goods at the best possible price they are exercising self-__________. A. interest B. control C. confidence D. promotion

Answers

Answer:

When consumers seek to buy goods at the best possible price, they are exercising self-interest.

It is in their best interest to buy a cheaper product.

Explanation:

The answer is a bc. I got it right

The country of Canada is located ____ of the New England states.

north
south
east

Answers

Answer:

North

Explanation:

East of the New England states in in the ocean and South is near Pennsylvania and Virginia

North. East of the new England states is located around Pennsylvania

How many sides does a polygon with a exterior angle of 5 have?

Answers

Answer:

72

Explanation:

Hot water deep within the Earth can ____________ minerals and transport them somewhere else

Answers

Your answer is:-

Dissolves

pls mark me as brainliest!! I rlly need points

Hot water deep within the Earth can dissolve minerals and transport them somewhere else.

What type of rock is formed by heat and pressure?

When rocks are exposed to high heat, high pressure, hot mineral-rich fluids, or, more typically, any combination of these variables, metamorphic rocks develop. Such conditions can be found deep within the earth.

Deep inside the Earth, hot water runs through fractures, where it may dissolve various compounds. When boiling water rushes to the surface, it cools and crystallizes. Hot water dissolves minerals more effectively than cold water.

The rock is dragged down by motions in the earth's crust and becomes increasingly heated as it descends. It requires temperatures ranging from 600 to 1,300 degrees Celsius (1,100 to 2,400 degrees Fahrenheit) to melt a rock, transforming it into lava.

Therefore, Minerals can be dissolved and transported by hot water deep beneath the Earth.

Learn more about minerals here:

https://brainly.com/question/13770820

#SPJ6

I need help please ASAP

Answers

The answer is (A) 2 2/3
The correct answer is A) 2 2/3

Someone wanna take time out of their day and help me right this please it’d help a lot. The project is worth 20 points, I’ll give the brain list. (You might have to zoom in to see it)

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Answer:

Hirap naman po niyan

Di ko po alam yan eh sorry po


Preview the picture above. What is causing the shadow cast upon the ISS?
a Clouds from Earth
C. The spacecraft hovered above
b. An astronaut
A of the above

Answers

Answer:

clouds from the earth

Explanation:

its due to sunrays rflections causing the shadows

Answer:

c.

The spacecraft hovered above it

Explanation:

Look at the map below. All of the following climate regions are located in Central Asia except the __________ region.
A. Marine west coast
B. Humid continental
C. Semiarid
D. Arid

Answers

Answer:

Humid Continental

Explanation:

Answer:

A. Marine west coast

Explanation:

Right on Egde 2021

Question 2 (1 point)
Black holes have the strongest force of gravity in the universe.
True
False

Answers

Answer:

true

Explanation:

How have humans helped the
Isle Royale Ecosystem?

Answers

Answer:

Even our mammalian brethren have found getting to Isle Royale difficult. Of the 50 or so mammal species that live on the mainland, only about 20 mammal species call Isle Royale home. And several that once called it home have since gone extinct – caribou, coyote, sharp-tailed grouse. Humans have never regularly lived year-round on Isle Royale.

Globalization of the world’s economy continues to have positive and negative consequences, depending on one’s perspective.

A. Define globalization.

B. Discuss in detail an example of one significant economic impact of globalization in a specific country, and examine how this impact may be viewed positively and negatively.

C. Discuss in detail an example of one cultural impact of globalization in a specific country, and examine how this impact may be viewed positively and negatively.

Answers

Answer:

I think it's B can i have a brainlest please

Explanation:

Answer:

A. Globalization is the spread of technological advances, communication, and economic production from one culture to another.

B. A significant economic impact of globalization in Japan would be the collapse of their (previous) well-entrenched system of lifetime employment. Due to the lack of economic growth and failing markets, 1990s Japan was forced to reform the original Japanese labor model, and the integrating of American-style economic principles. Positively, this impact promoted the accumulation of capital, upgrades to the industrial structure, and technological advancements. Negatively, this impact affected the successful labor model that was followed before the globalization occurred.

C. An example of cultural impact of globalization in Germany would be that the country benefited greatly from higher flows of people and ideas. The people and ideas led to making slight changes in traditional religions and belief systems. They also began changing work ethics and rhythms that were to be followed. This impact may be viewed positively by having people work in better time frames and in safer environments. It may be viewed negatively by changing the traditions and belief systems some people were raised to believe for years. Sometimes people just do not want to see change in that aspect, they are so firm in their beliefs.

Hope this helped!

Sri Lanka's tropical climate is cooled by _____. Tsunamis mountain ranges ocean breezes high elevation (Gradpoint)

Answers

Answer:

ocean breezes

Explanation:

Sri Lanka is an island country which lies south to the country of India and is separated from India by the Indian Ocean. Sri Lanka is surrounded by the Indian Ocean on all its side.  

The climate of Sri Lanka is characterized as a tropical climate and it has distinct dry seasons and wet seasons. The tropical climate of the country is due to its location as it is surrounded by the seas. The sea breezes brings moisture to the land and also blows hot air which makes it sometimes to precipitate in some region and while in time of the area the climate is hot and dry.

Find the value of:
x^2
– 1/5 at x= -1​

Answers

Answer:

Value of equation = 4/5

Explanation:

Given:

x²  - [1/5]

When x= -1​

Find:

The value of equation

Computation:

x²  - [1/5]

When x= -1​

(-1)²  - [1/5]

1 - [1/5]

(5-1) / 5

Value of equation = 4/5

3. A recommendation
a. is written after the researcher has drawn conclusions.
b. is based on the findings of the research.
c. suggests specific interventions or strategies to address the issues at hand.
d. all of the above​

Answers

suggestsbl specific interventions or strategies to address the issues at hand

What type of fault is being demonstrated in the above illustration?
( )
A Strike-slip fault
B Normal fault
C Reverse fault

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It’s a bc it’s an Strike
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