The cross-sectional areas of a triangular prism and a right cylinder are congruent. the triangular prism has a height of 10 units, and the right cylinder has a height of 7 units. which conclusion can be made from the given information? the volume of the prism is half the volume of the cylinder. the volume of the prism is not equal to the volume of the cylinder. the volume of the prism is twice the volume of the cylinder. the volume of the prism is equal to the volume of the cylinder.

Answers

Answer 1

The volume of the right-angle prism and the right-cylinder shapes is not equal. Thus, option A is correct.

What is Volume?

Volume is given as the scalar quantity that can measure the space occupied by a three-dimensional object.

The volume of the prism is given as:

Volume of prism = Area * Height

The volume of right cylinder is given as:

Volume of cylinder = Area * Height

The given two shapes are congruent to each other, thereby the area of the base of the prism and cylinder are equal. Substituting the height of both the shapes:

The volume of Prism = 10 Area

Volume of right cylinder = 7 Area

The ratio of the volume of both shapes gives:

Volume of Prism/ Volume of Cylinder = 10 Area/ 7 Area

Volume of Prism/ Volume of Cylinder = 1.42

Volume of Prism = 1.42 Volume of Cylinder

Thus, the volume of Prism is 1.42 times more than the volume of a cylinder. Hence, the volume of both shapes is not equal. Thus, option A is correct.

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Answer 2

Answer:

The volume of the prism is not equal to the volume of the cylinder.

Explanation:

According to Cavaleri's principle, if two 3-d figures have the same cross-sectional areas, and their heights are equal, then the volume of those two figures are equal.

We do have the same cross-sectional areas, but not the same height, therefore we can conclude that "the volume of the prism is not equal to the volume of the cylinder."

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Related Questions

What element of a myth does this excerpt contain? an explanation of how to deal with everyday life characters with exaggerated abilities a lesson about human behavior valid historical facts

Answers

The element of a myth does this excerpt contain an explanation of the natural world.

What is human behavior?

It is the way of expressing anger, joy and enthusiasm in result of situations humans face in their daily life.

Out of the following the lines which provides human behavior with everyday life characters ....

a description about a historical event

a lesson about the difficulties of life

an exploration of human behavior

an explanation of the natural world

Thus, the element of a myth, this excerpt contain is an explanation of the natural world.

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Which of these programmers creates the core game engine?

Answers

Answer: Engine programmer

How is the water in the swimming pool similar to earth's interior

Answers

Explanation:

The deeper you go in both Earth's interior and the swimming pool the greater the pressure grows. The difference is the swimming pool contains, mostly liquid and Earth's interior contains mostly solids.

my grandparents said because they are are both liquidy and they both have the same thickness.

 The deeper you go in both Earth's interior and the swimming pool the greater the pressure grows. The difference is the swimming pool contains, mostly liquid and Earth's interior contains mostly solids. my grandpa said that and my grandma it was wrong so you see which one is right which is what the other kid said so i think my grandpa is right.

A solid right pyramid has a regular hexagonal base with an area of 5. 2 cm2 and a height of h cm. a solid right pyramid has a regular hexagonal base with an area of 5. 2 centimeters squared and a height of h centimeters. which expression represents the volume of the pyramid? one-fifth(5. 2)h cm3 startfraction 1 over 5 h endfraction(5. 2)h cm3 one-third(5. 2)h cm3 startfraction 1 over 3 h endfraction(5. 2)h cm3

Answers

Based on the calculations, the volume of this pyramid is equal to D. 5.2h/3 cm³.

Given the following data:

Base area = 5.2 cm².Height = h cm.

How to calculate the volume of a pyramid?

Mathematically, the volume of a pyramid is calculated by using this formula:

Volume = 1/3 × base area × height

Substituting the given parameters into the formula, we have;

Volume = 1/3 × 5.2 × h

Volume = 5.2h/3 cm³.

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Which word best describes the tone of this excerpt? deceitful sentimental methodical respectful

Answers

The word that best describes the tone of the excerpt is : ( C ) Methodical

What is methodical procedure ?

Methodical procedure describes the sequential procedure in which a system of actions is been followed usually computer systems or other forms as seen in the excerpt.

Hence we can conclude that the word that best describes the tone of the excerpt is methodical.

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Attached below is the missing excerpt

I knew I could never let Mom hear the messages, because protecting her is one of my most important raisons d’être, so what I did was I took Dad’s emergency money from on top of his dresser, and I went to the Radio Shack on Amsterdam. It was on a TV there that I saw that the first building had fallen. I bought the exact same phone and ran home and recorded our greeting from the first phone onto it. I wrapped up the old phone in the scarf that Grandma was never able to finish because of my privacy, and I put that in a grocery bag, and I put that in a box, and I put that in another box, and I put that under a bunch of stuff in my closet, like my jewelry workbench and albums of foreign currencies.

Answer:

C. Methodical

Explanation: i took the test

What is a connotation of the word company as it is used this passage?passionhard worktogethernesssadness

Answers

Answer:

Explanation:

Togetherness

I wandered lonely as a cloud

Answer: c togetherness

Explanation:

It is widely known in kevin's social club that he is the most stubborn and inflexible member. kevin complains that all his friends and members in the club are too opinionated. if his attitude is attributed to his personality, what type of factors are impacting his behavior?

Answers

According to the context, if his attitude is attributed to his personality, projecting is a type of factor that impacts Kevin's behavior.

What is projecting?

It represents a defense mechanism that takes place when emotions go through conflicting stages and consists of assigning to others, ideas or reactions that cannot be accepted.

The one who projects, rejects some aspects of himself and attributes them to others.

Therefore, we can conclude that context, if his attitude is attributed to his personality, projecting is a type of factor that impacts Kevin's behavior.

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This fluid may be mixed with engine oil for recycling.

Answers

Answer:

Any petroleum product

Explanation:

Any petroleum product can be mixed with any other product for recycling- motor oil, gear oil, atf from cages, etc.

An electroscope is a device that detects charge on objects that touch it or are brought near it. john rubs a piece of cotton fabric on a plastic rod and then touches the rod to the electroscope. what methods of charging does john use? john charges the rod through induction, then charges the electroscope through friction. john charges the rod through conduction, then charges the electroscope through induction. john charges the rod through friction, then charges the electroscope through induction. john charges the rod through friction, then charges the electroscope through conduction

Answers

The same charges are produced on the plastic rod and cotton fabric as a result they repel each other.

What is an electroscope device?

An electroscope is a scientific instrument that contains a small amount of an electrical charge on a person's body. The first electroscope with a pivoting needle is termed sensorium. The Coulomb electrostatic energy, which produces the movement of the test charge, is used by the electroscope to determine the charge.

They will oppose one another because when the plastic rod and the cotton fabric are rubbed together, they receive the same charges, and similar charges repel each other. The straws will reject each other as a consequence.

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Answer:

d. or 4

John charges the rod through friction, then charges the electroscope through conduction.

Explanation:

edge 2023

Which transition word best connects the ideas? if but then because

Answers

depends on:

Explanation:

depends really on how you are trying to connect ideas for example if you are trying to contrast them use but, trying to explain why something happened use because or to explain what will happen use if and then.

Answer:

depends on. It depends on the ideas connected

anyone needs help with any assignments

Answers

Answer:

not really but thx anyways

Explanation:

Answer:

I don't need help but thx anyways

Explanation:

Please select the word from the list that best fits the definition process in which sediment is dropped and comes to rest

Answers

Answer:

The process in which sediment moved by erosion is dropped and comes to rest is called Deposition.

Identify reasons to include a subject in an e-mail. check all of the boxes that apply. to give a brief overview of the e-mail to give an idea of the importance of the e-mail to include the message of the e-mail to entice the recipient to open the e-mail

Answers

Emails are electronic messages used to exchange messages. The subject is included in the mail to give a brief overview, and importance and to entice the reader.

What are the components of e-mail?

Email is the electronic message that shares information or the messages between the sender and the receivers through electronic devices. The e-mail constitutes of the subject, sender, date, reply, recipient, attachments, body, etc.

The subject of the tagline of the mail is written in just a few words and gives the first impression of the sender. It highlights the purpose and the importance that the mail carries. It also compels the recipient to open the mail.

Therefore, the subject is included in the mail to give a brief overview, and importance and to entice the reader.

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Choose the word or phrase that best completes each sentence. the telescope was used to . the microscope was used to . the barometer helps to . the thermometer helps to .

Answers

The thermometer measures temperature, the barometer measures pressure, the microscope magnifies small objects, and the telescope magnifies distant objects.

What are the scientific instruments?

Scientific instruments are the devices that are used to measure and estimate the wind, electricity, pressure, temperature, radiations, etc.

The thermometer and the barometer are weather forecasting instruments. The thermometer helps in measuring the temperature, while the barometer helps to measure the atmospheric pressure.

The telescope and the microscope are the magnifying instruments. The telescope magnifies the objects that are located very far away like stars, planets, etc. While the microscope magnifies the small objects like cells and tissues.

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Answer:

The telescope was used to

view distant objects

The microscope was used to

view plant and animal cells

.

The barometer helps to

predict the weather

The thermometer helps to

practice medicine

.

Explanation:

Bridget is in science class. her teacher gives her two unknown substances and asks her to determine their relative ph. she places a piece of red litmus paper into both substances. the litmus paper turns purple when she places it into substance i. the litmus paper turns blue when she places it into substance ii.

Answers

Answer:

Explanation:

Litmus paper is often used to determine the range of pH of an aqueous solution. Litmus paper specifically contains 10-15 natural dyes, in the presence of acidic solution it turns red, it turns purple when the solution is neutral and blue when dealing with basic solutions. Red litmus paper stays red for a neutral and acidic solution but changes to blue in the presence of alkaline solutions. On the other hand, blue litmus paper turns red when a solution is acidic but stays blue for neutral and alkaline solutions. Since the paper turns purple in the presence of solution 1 we know that is neutral, meanwhile, since it turns blue for the second solution we know that solution II is a base correct answer is  Substance I is a neutral substance and substance II is a base.

The sides of a square bedroom measure 3. 5 yards. if carpet costs $16 per square yard, how much will it cost to cover the floor? $56 $98 $196 $224

Answers

its 56$ all you have to do is multiple 3.5 by 16=56$

joseph flips a fair coin and rolls a fair number cube with sides numbered 1 through 6. what is the probability that he will roll a number greater than 4 and the coin will land on heads

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Explanation:

Since both the events do not affect each other, they are independent. We are looking for the probability that both events happen, so we multiply the probabilities of each event.

The probability of rolling number greater than four would start with a denominator of 6 since there are 6 equally likely outcomes. The favorable outcomes number 2 since the only numbers greater than 4 are 5 and 6. So the probability is [tex]\frac{2}{6}[/tex] which simplifies to [tex]\frac{1}{3}[/tex].

The probability a coin would land on heads is just [tex]\frac{1}{2}[/tex] since you can get either heads or tails and there is only one favorable outcome.

Multiplying these together results in a final answer of [tex]\frac{1}{6}[/tex]

What moral dilemma does this excerpt express pindarus

Answers

Answer:Pindarus must decide whether to fight Mark Antony or flee

Which scatterplot demonstrates the strongest relationship between two quantitative variables?

Answers

The scatterplot demonstrates the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

Correlation coefficient of scatterplot

The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.

When two variables increases together, they are said to have positive correlation.

When one is increasing and another is decreasing, they are said to have negative correlation.

When most of  data points form a straight line or lies close to the straight line, it indicates strong linear correlation.

From the given options;

Option A, zero correlationOption B, less than 1Option C, 1 or greater than 1Option D, -1 or less than 1

Thus, the scatterplot demonstrates the strongest relationship between two quantitative variables is option C, "a graph has x on the x-axis, and y on the y-axis. Points increase loosely together".

The complete question is below:

A. A graph has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.

B. A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.

C. A graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

D. A graph has x on the x-axis, and y on the y-axis. Points decrease loosely together.

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On which of these are individuals required to pay income taxes in the united states? check all that apply.

Answers

Answer:

check what?

Explanation:

do you mean check the list of possible answers or what?

This type of membrane protein enables cells to catalyse specific chemical reactions at the inner or outer surface of their plasma membrane.

Answers

Answer:

enzymes is your answer.

Which part of a presentation about bullying does this slide illustrate? it presents an overview of the problem. it shows a negative effect of the problem. it presents a solution. it show a positive effect.

Answers

Answer:

B

Explanation:

I just got it right on the assignment :)

A beam of white light goes from air into the water droplet at an incidence angle of 36.2 degrees. what is the angle between the red (660 nm) and violet (410 nm) parts of the refracted light?

Answers

A beam of white light goes from air into the water droplet at an incidence angle. The angle between the red (660 nm) and violet (410 nm) parts of the refracted light is 0.19°.

What is white light?

The white light is the ray coming directly from the Sun. When it strikes any glass object, an spectrum of colors with different wavelength is formed.

Given is the angle of incidence, i = 36.2°, the refractive index of water for red light is 1.331 , the refractive index of water for violet light is 1.340 and refractive index of air is 1.

Using the Snell's law, the angle of refraction of red light will be

1.331 x sin r(R) = 1 x sin 36.2

r(R) = 26.342°

Using the Snell's law, the angle of refraction of violet light will be

1.340 x sin r(R) = 1 x sin 36.2

r (V) = 26.152°

Difference in the angle of refraction of red and violet light is

r(R) - r (V) = 26.342 - 26.152 = 0.19°

Thus, the angle between the red (660 nm) and violet (410 nm) parts of the refracted light is 0.19°.

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In a town, a large area of forested land has been bought by a housing developer. The developer wants to maintain
some natural habitat in the center of the development in order to prevent local extinction of some native species
and to provide a natural setting for the residents.
Which is the most reasonable design solution the developer could implement to meet the stated goals?
Designate an area for a community flower and vegetable garden.
Plant ornamental grasses between houses for privacy and to create habitat for birds.
Install solar panels on the houses to generate electricity that can be used to support a community center.
Leave a piece of land connecting the forest in the center of the development to the forest outside the
development

Answers

Sustainable development is the architectural construction that is done to maintain the natural habitat. Planting ornamental grasses and habitats for birds can be the most reasonable design. Thus, option B is accurate.

What is a natural habitat?

Natural habitat is the place and region that have characteristic factors that make the typical plants and animals live and reside in that particular area to reproduce.

To develop the houses and community so that the natural habitat of the flora and the fauna are not disturbed the plantation of the grasses and trees that can be a house for the native bird species can be the best design idea.

Therefore, option B. grasses and bird habitat is the most reliable design for the housing development.

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What did the supreme court say in its ruling in regents of the university of california v. bakke (1978)? affirmative action programs do not violate the constitution. racial quotas are necessary to correct for past discrimination. the constitution forbids any government policy that uses a racial classification. even states without official segregation policies must take steps to integrate their schools.

Answers

In the ruling by the supreme court in regents of the university of california v bakke ( 1978 ) : ( A ) affirmative action programs do not violate the constitution

Regents of the university of california v. bakke (1978)

In the ruling the supreme court ruled that the use of affirmative action programmes which allows the admission of minority applicants in the universities is a constitutional process in certain circumstances, while the use of racial quotas for the admission into universities was ruled as unconstitutional.

Hence we can conclude In the ruling by the supreme court in regents of the university of california v bakke ( 1978 ) : ( A ) affirmative action programs do not violate the constitution

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Answer:

Explanation:

Affirmative action programs do not violate the Constitution.

Arrange the steps describing how a wind turbine functions to provide electricity to homes and businesses.

Answers

Wind turbines generate electricity by following a simple principle. Moving wind transfers energy to the blades of the windmill, which results in spinning of the blades. These blades are connected to an internal shaft which also starts spinning. This spinning of the shaft generates electricity, which is further distributed to electrical substations to provide electricity to homes and businesses.

What is a wind turbine?

Wind turbines work by creating kinetic energy when the power of the wind makes their blades spin. This kinetic energy is converted into electrical energy.

Thus, the steps describing how a wind turbine functions are,

Step 1: Wind moves the blades of the turbine.

Step 2: Internal shaft spins

Step 3: Generator produces electricity

Step 4: Distribution lines carry electricity to substation

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What is the median for 7.5, 8, 8.5, 7.5, 8, 8.5, 7.5 5, 10, 6, 8, 8, 8.5, 5.5, 6, and 8.5

Answers

Answer:

The median is 8

Climate refugees have migrated into areas already inhabited by people with different cultures, religions, and traditions, increasing the potential for conflict. stronger storms in the pacific and atlantic have threatened whole cities. millions have been displaced by massive flooding in south asia, mexico, and 18 countries in africa. as temperature extremes have increased, tens of thousands have lost their lives. we are recklessly burning and clearing our forests and driving more and more species into extinction. the very web of life on which we depend is being ripped and frayed. which evidence does gore use to support the idea that climate change is occurring?

Answers

The evidence which Gore used to support the idea that climate change is occurring are: "worldwide events and damages resulting from climate change."

What is climate change?

Climate change can be defined as a negative change in the average atmospheric condition or weather of a geographical area over a long period of time.

In this context, the evidence which Gore used to support the idea that climate change is occurring in the above excerpt are worldwide events and damages that resulted from climate change."

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The night oak street burned down commonlit answers

Answers

Answer:

5 is The sudden power outage that sent residents of Oak street out of their homes to the hot weather, the online video that sparked outrage and suspicions about the true identity of aliens, and the loss of cell phone signals made the residents angry such that they burned  Maxs' house. The fire spread to their own homes.

What happened to change the water quality in flint?(1 point)

Answers

Answer:

The Flint water crisis was a public health crisis that started in 2014 and lasted until 2019, after the drinking water for the city of Flint, Michigan was contaminated with lead and possibly Legionella bacteria

Explanation:

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