A cube with volume 8 $\text{cm}^3$ is cut in half by a plane which contains two edges of the cube. What is the area of the rectangle formed by the intersection of the plane and cube? express your answer in simplest radical form.
Answers
The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]
The diagram of the cube and the cutting plane is shown in the figure.
Since the cube has a volume of [tex]8cm^3[/tex], the sides are [tex]2cm[/tex] each.
From the diagram, the red rectangle is the rectangle formed from the intersection of the plane and the cube. It has an area given by
[tex]A_R=\text{side of cube}\times \text{diagonal}=2d[/tex]
and, using Pythagoras' theorem,
[tex]d=\sqrt{2^2+2^2}\\d=\sqrt{8}=2\sqrt{2}\text{ cm}[/tex]
Substituting the value of [tex]d[/tex] into the formula for [tex]A_R[/tex]
[tex]A_R=2\times d\\=2\times 2\sqrt{2}\\=4\sqrt{2}[/tex]
The area of the rectangle formed by the intersection of the plane and cube is [tex]4\sqrt{2}cm^2[/tex]
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Answer:
4 square root of 2cm
Explanation:
cool stuff
Related Questions
How does the first amendment protect religious freedom for american citizens? choose exactly two answers that are correct.
Answers
Answer:
It lets people practice their faith in their own way and
It prevents the government from establishing a national religion.
Explanation:
During the revolutionary war, how did the british convince slaves to run away from their owners and help the british war effort?.
Answers
Answer:
offered freedom
Explanation:
took the test
Where are my smart friends?? i had $3. 0. My mom gave $10. 0. My brother gave $30. 0. My aunt and uncle gave me $100. 0. I had another $7. 0. How much did i have?.
Answers
Answer: $150
Please mark me brainliest!
Explanation: 3 + 10 = 13
13 + 30 = 43
43 + 100 = 143
143 + 7 = $150
What amount of heat, in kj, would be involved in condensing 15. 8 g of ch₃oh? (∆hvap = 38. 0 kj/mol).
Answers
Considering the definition of enthalpy of vaporization, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is 18.8 kJ.
When a material changes phase from solid to liquid, or from liquid to gas, a certain amount of energy is involved in this phase change.
In case of phase change from liquid to gas, this amount of energy is known as enthalpy of vaporization (symbolized as ∆Hvap).
So, the enthalpy of vaporization is the amount of energy required to change a unit of mass (for example, moles or kg) of a substance from phase liquid to phase gas at constant temperature and pressure.
In this case, you know that enthalpy of vaporization is ∆Hvap = 38.0 kJ/mol.
On the other side, you want to vaporize 15.8 g of CH₃OH. Then, being the molar mass of the compound 32 [tex]\frac{g}{mole}[/tex] (that is, the amount of mass contained in one mole), the number of moles to be vaporized is:
[tex]15.8 gramsx\frac{1 mole}{32 grams} =0.49375 moles[/tex]
Then, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is calculated taking into account the enthalpy of vaporization by:
0.49375 moles× 38.0 [tex]\frac{kJ}{mol}[/tex]= 18.76 kJ ≅ 18.8 kJ
Finally, the amount of heat that would be involved in condensing 15.8 g of CH₃OH is 18.8 kJ.
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brainly.com/question/21655944?referrer=searchResults brainly.com/question/7580155?referrer=searchResults brainly.com/question/4035699?referrer=searchResults brainly.com/question/11475740 brainly.com/question/2212655?referrer=searchResultsA taxi service charges a flat fee of $1. 25 and $0. 75 per mile. If Henri has $14. 00, which of the following shows the number of miles he can afford to ride in the taxi? m less-than-or-equal-to 17 m greater-than-or-equal-to 17 m less-than-or-equal-to 20. 3 m greater-than-or-equal-to 20. 3.
Answers
Answer:
Its less than or equal to 17
Explanation:
You can have ice cream you finish your dinner.
Answers
What does sentir mean in English? to feel to kill to order to drink.
Answers
Answer:
All 5 answers
1. A to feel
2. C contenta
3. D seguro
4. B missing practice
5. C malteada de chocolate
Explanation:
Sentir mean in English is To feel
What type of verb is sentir?Sentir is an irregular -ir verb.
What's the difference between sentir and Sentirse?To choose one of sentir or sentirse, you can think of this simple model to help explain the difference: Sentir – describes 'what' you feel. Sentirse – describes 'how' you feel. In other words, we generally use sentir with nouns (joy, happiness, heat) and sentirse with adjectives or adverbs (happy, tired, excited).
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On january 1, 2019, a company issued $400,000 of 10-year, 12% bonds. The interest is payable semi-annually on june 30 and december 31. The issue price was $413,153 based on a 10% market interest rate. The effective-interest method of amortization is used. What is the book value (carrying value) of the bond liability as of june 30, 2019 (to the nearest dollar)?.
Answers
The book value of the bond liability is $409811
First of all we have to calculate the cash that was paid for interest
This interest is payable semiannually that is 6 months out of 12 months
6/12 = 0.5
The bond is 12% = 0.12
= 400000 * 0.12 * 0.5
= 24000 dollars
The interest =
413153 * 10% * 0.5
= 20658 dollars
The reduction = 24000-20658
= 3342 dollars
The carrying value after the first payment
= 413153-3342
= $409811
The book value of the bond liability is $409811
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Which best describes an electron cloud.
Answers
I hope this helps! Have an amazing day! :)
Beth is listening to her friend melissa talk about a recent break-up. Beth wants to give an appropriate listening response to convey to melissa that she there for her friend and shares her point of view. Beth’s best listening response would be which of the following?.
Answers
Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.
In communication, listening is very key which follows with a feedback to ensure what is being communicated is rightly decoded by the receiver of a message.
For feedbacks, many types of responses can be given. One of which is giving a listening response.
Types of listening responses include:
EmpathizingQuestioningParaphrasingEvaluatingSilent listeningEmpathizingSupporting.Supporting is a type of listening response whereby the listener shows solidarity with the speaker in a way that reflects the feelings about the speaker.
Therefore, Beth's best listening responses to convey to Melissa that she shares her view would be: supporting.Learn more about listening responses on:
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The answer is mashed potatoes.
Answers
Answer: what did he sayyy
Explanation:
Oscar started freaking out about the test formal brainly.
Answers
Answer:
?
Explanation:
Answer:
y lol
Explanation:
What detail of the myth is suggested in the poem but not in the painting? What connection between the painting's landscape and the myth does this detail convey?.
Answers
The myth shows the moment when the sun melts the wings of Icarus, while the painting does not present this moment. This detail shows that nature contributes to the death of Icarus.
We can arrive at this answer because:
The painting shows only the death of Icarus, showing the moment when he fell into the water and drowned.The purpose of the painting is to show how the universe and all other human beings remained indifferent to Icarus' death.Although the myth also features the death of Icarus, it sets out in more detail.The myth shows why Icarus wanted to use the waxwings and why these wings melted.The myth focuses on nature's action on the death of Icarus, while the painting reinforces the universe's indifference to this death.
This question is about “Landscape of the Fall of Icarus.”
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Answer:
B & C
Explanation:
Y E S
Use the formula for annual compound interest. A = P (1 StartFraction r Over n EndFraction)nt Remember, A refers to the total amount owed. Calculate the total amount that Tom would repay. $10,337 $11,337 $12,337 $13,337.
Answers
Answer:
11,337
Explanation:
Answer:
$11,337
Explanation:
Marianna is working on improving her communication skills. To be a good listener she should.
Answers
-put devices away
-repeat somethings she heard so others see she’s paying attention
What in the cinderella story suggests its origin, according to the author? why is her theory uncertain?.
Answers
Cinderalla is a very popular story. The suggestion of its origin, according to the author is that its origin could have been originated in Orient.
The theory is uncertain because Cinderella, as it is widely known among boys and girls, as a fairy tale, it has about 345 documented variants and many more versions that were not documented or recorded.
This can be referred too as inconsistency in its recording. The fact that Cinderella had small feet, was of some importance in the Orient that is ancient times.
Cinderella, The Legend is known too be of Protestant ethic as the moral principle in this fairy tale is that good fortune can be an advantage.
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Which group of people was one o fthe first to spread hte idea of worshipping only one god?.
Answers
Answer:
The first people to express the idea that there is only one God were the Jews, and then later on Christians (because Jesus Christ brought Christianity.)
Explanation:
I hope this helps! :D
How much force is needed to stop a 100-kg football player if she decelerates at 20 m/s2? 5 N 20 N 200 N 2000 N.
Answers
2000 N. is needed to stop a football player
Which sentences include a proper mla parenthetical citation? check all that apply.
Answers
Considering the available options, the sentences that include a proper MLA parenthetical citation include "Mahoney states that "the needs of speakers drive language change" (nsf.gov)."
What is MLA parenthetical citation?MLA parenthetical citation is the citation method that utilizes the author's last name, the page number, or other relevant source information in parentheses from sentences used.
Other sentences that include a proper MLA parenthetical citation include the following:Johnson claims that the English language began to deviate from its Germanic origins (4).In the eighteenth century, English was "departing from its original Teutonic character"(Johnson 4).Hence, in this case, it is concluded that the correct answer is options A, E, and F.
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In casabianca the boy's defining character trait is his (points 5).
Answers
The character trait that defines the boy in Casabianca is: his loyalty.
Casabianca is the name of the young boy who is one of the major character sin "Casabianca".
In Casabianca, the boy, out of loyalty and having a strong sense of duty, had to put up bravery to remain at his post on a French ship that caught fire during the attack of the British.
In spite of the obvious dangers, he remained at his post while waiting for orders from the captain (his dad).
Therefore, the character trait that defines the boy in Casabianca is: his loyalty.
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apparition
enchanted
ghost
ghostly
ghoulish
goblin
haunted house
haunting
Answers
You enter a room 2 dogs 4 horses.
Answers
(2+4=6) supercalifragilisticexpialidocious
Which is a y-intercept of the graphed function? (–9, 0) (–3, 0) (0, –9) (0, –3).
Answers
Hope this helps ;)
Her nervousness had a profound.
Answers
Huh yes that would work out well I think it’s a great deal to get it done by the end of the
Multiple-choice questions on advanced placement exams have five options: a, b, c, d, and e. A random sample of the correct choice on multiple-choice questions on a variety of ap exams1 shows that b was the most common correct choice, with of the questions having b as the answer. Does this provide evidence that b is more likely to be the correct choice than would be expected if all five options were equally likely? show all details of the test. The data are available in apmultiplechoice.
Answers
Answer:
the answer would be a
Explanation:
Which notations represent atoms that have the same number of protons.
Answers
Answer:
ITS ABOUT DRIVE ITS ABOUT POWER WE STAY HUNGRY WE DEVOUR PUT IN THE WORK PUT IN THE HOURS AND TAKE WHATS OURS
My mom suggested keep the surroundings clean and green.
Answers
This is the correct sentence:
My mom suggested keeping the surroundings clean and green.It's correct to say keeping and not keep because you have to form the sentence using suggest + the verb with ing (keep + ing: keeping).
I was able to find the instructions to complete the exercise online: Write sentences using suggest + V-ing or suggest + clause with should.
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In the poem "War Is Kind," which best describes the effect of the repetition of the lines "Do not weep. War is kind"? These lines illustrate the fact that people react very differently to suffering. These lines suggest that people who suffer from war are overreacting. These lines highlight the idea that war is not as brutal as people think. These lines emphasize the harshness of the scenes the speaker describes.
Answers
There are different kinds of poem. In the poem "War Is Kind," the best description of the effect of the repetition of the lines is that the lines emphasize the harshness of the scenes the speaker describes.
The line of the poem talks able the cruelty of war and how its effect on the people.War is not a pleasant situation. Stephen Crane in his poem calls war "kind". This is because he laugh at the idea that young men often believe that going to war is noble and dying for one's country is an heroic act.
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Answer:
These lines emphasize the harshness of the scenes the speaker describes.
Explanation:
D on edge!
Which of the following statements is true of postmodern cultural spaces.
Answers
How many grams of iron (density = 7. 87 g/ml ) would occupy the same volume as 96. 4 g of aluminum (density = 2. 70 g/ml)?.
Answers
Explanation:
density = mass / volume
96.4 g of aluminum / volume = 2.7
therefore,
96.4 = 2.7 × volume
volume = 96.4 / 2.7 = 35.7037037... ml
back to iron :
7.87 = mass / 35.7037037...
mass = 7.87 × 35.7037037... = 280.9881481... g
it would be 280.9881481... g of iron in the same volume.
