How many square feet of glass are needed to cover the skywalk floor? (round your final answer to 1 decimal place and any intermediate calculations to 2 decimal places. Be sure to include units. ).
Answers
The area of the skywalk floor is the amount of space it occupies
The area of the skywalk floor is 1728.1 square feet
From the complete question, we have the following parameters
The outer diameter is 65 feet
This is represented as: [tex]\mathbf{d_2 = 65}[/tex]
The inner diameter is calculated as follows:
[tex]\mathbf{d_1 = 65 - 2 * 10}[/tex]
[tex]\mathbf{d_1 = 45}[/tex]
So, the area of the skywalk floor is the difference between the areas of the two semicircles.
This is represented as:
[tex]\mathbf{Area = \frac{\pi d_2^2}{4} - \frac{\pi d_1^2}{4}}[/tex]
Rewrite as:
[tex]\mathbf{Area = \frac{\pi}{4}(d_2^2 - d_1^2)}[/tex]
So, we have:
[tex]\mathbf{Area = \frac{3.142}{4}(65^2 - 45^2)}[/tex]
[tex]\mathbf{Area = \frac{3.142}{4}(2200)}[/tex]
Simplify
[tex]\mathbf{Area = 3.142 \times 550}[/tex]
[tex]\mathbf{Area = 1728.1}[/tex]
Hence, the area of the skywalk floor is 1728.1 square feet
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Related Questions
An apple ipad sells for $699. 00 on ebay. The markup is 30% on cost. What is the total cost of the ipad sold on ebay?.
Answers
Answer:
$ 537.75
Explanation:
Use what you know about addition and subtraction of polynomials to find the missing term represented by the question mark in each equation. (–4x2 + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8 ? = (–b3 + 3b2 + 8) – (? – 5b2 – 9) = 5b3 + 8b2 + 17 ? =.
Answers
Answer:
Top: 6x^2
Bottom: -6b^3
Answer:
6xsquared
Explanation:
:0
Evaluate the line integral by the two following methods. Xy dx + x2y3 dy c is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4).
Answers
Not sure what "two methods" you refer to, so I'll assume you're supposed to compute the line integral directly as well as with Green's theorem.
Direct computation:
It looks like the line integral is
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy[/tex]
where C is the union of three line segment. We'll partition C and parameterize each component by
• C₁, the line segment from (0, 0) to (1, 0) : x(t) = t and y(t) = 0;
• C₂, from (1, 0) to (1, 4) : x(t) = 1 and y(t) = 4t;
• C₃, from (1, 4) to (0, 0) : x(t) = 1 - t and y(t) = 4 - 4t;
each with 0 ≤ t ≤ 1.
Compute the integrals over each component:
• Along C₁, we have y = 0, so this integral contributes nothing.
• Along C₂,
[tex]\displaystyle \int_0^1 4t \cdot 0 \, dt + (4t)^3 \cdot 4 \, dt = 256 \int_0^1 t^3 \, dt = 64[/tex]
• Along C₃,
[tex]\displaystyle \int_0^1 (1-t)(4-4t) \cdot (-dt) + (1-t)^2(4-4t)^3 \cdot (-4\, dt) \\\\ = \int_0^1 \left(-260 + 1288 t - 2564 t^2 + 2560 t^3 - 1280 t^4 + 256 t^5 \right) \, dt = -44[/tex]
So, the total line integral is
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy = 0 + 64 - 44 = \boxed{20}[/tex]
Using Green's theorem:
The interior of C is the triangular region
[tex]D = \{(x, y) : 0 \le x \le 1 \text{ and } 0 \le y \le 4x\}[/tex]
and the integrand has no singularities either on C or within D. So by Green's theorem,
[tex]\displaystyle \int_C xy \, dx + x^2y^3 \, dy = \iint_D \frac{\partial(x^2y^3)}{\partial x} - \frac{\partial(xy)}{\partial y} \, dx \, dy = \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx[/tex]
The remaining integral is trivial.
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 x \int_0^{4x} (2y^3 - 1) \, dy \, dx[/tex]
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 x \left(\frac12 (4x)^4 - 4x\right) \, dx[/tex]
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \int_0^1 \left(128x^5 - 4x^2\right) \, dx[/tex]
[tex]\displaystyle \int_0^1 \int_0^{4x} (2xy^3 - x) \, dy \, dx = \frac{64}3 - \frac43 = \boxed{20}[/tex]
In the past, behaviorists were not likely to view cognition as a part of learning because cognition __________. A. Does not affect behavior B. Disproved their theories C. Is unobservable D. Had never been studied Please select the best answer from the choices provided A B C D.
Answers
Answer:
C
Explanation:
is unobservable
"In the past, behaviorists were not likely to view cognition as a part of learning because cognition is unobservable." Thus, option D is correct.
What is cognition?Thinking, attention, language, learning, memory, and perception are all examples of cognitive activities that occur in the brain. These processes are not distinct talents; rather, they are a collection of interconnected abilities that enable us to function as healthy adults.
Learning, according to behaviorists, takes place mostly through observation. They thought that a person learns different parts of his or her life through observation. Imitation, modeling, and other forms of observation are all part of the observation process. Experiments on classical conditioning were used by behaviorists to illustrate that behavior is a learned process. Cognition, on the other hand, refers to the mental processes that include comprehension and knowledge.
As a result, Previously, behaviorists were unlikely to consider cognition to be a component of learning, since cognition is a mental process. Hence, option D is correct.
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A sequence is defined recursively using the formula f(n 1) = f(n) – 5. Which sequence could be generated using this formula? 1, –5, 25, –125,. 2, 10, 50, 250,. 3, –2, –7, –12,. 4, 9, 14, 19,.
Answers
Answer: C ( 3,-2,-7,-12)
Explanation: teacher helped me and showed me
What is the value of x in the equation 2 (6 x 4) minus 6 2 x = 3 (4 x 3) 1? 1 3 4 6.
Answers
Answer:
4
Step-by-step explanation:
2 (6 x + 4) - 6 + 2 x = 3 (4 x + 3) + 1
12x + 8 - 6 + 2x = 12x + 9 + 1
12x + 2 + 2x = 12x + 10
2x + 2 = 10
2x = 10 - 2
2x = 8
x = 4
Why does judith's little brother need help? he can't get dressed by himself. He can't put his shoes on by himself. He can't get undressed by himself. He can't find his clothes.
Answers
Answer:
it's A- He can't get dressed by himself
Explanation:
judith's little brother need help, he can't get dressed by himself. it is needed to teach children how to get dressed.
Why child needs to learn how to get dressed?Teaching to children how to get dressed builds child’s confidence level and independence and it gives them a sense of achievement, so getting dressed by themselves helps the child to develop many other skills.
Some of the skills are fine motor skills like fastening buttons and zip, gross motor skills like standing on one leg to pull on a pair of pant, cognitive skills, language skills that is naming types of clothes, colors and sizes, awareness of time and space
Young children are aware about clothing by pulling off things like socks, shoes or hats,
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If the weight of an object on earth is 245 n, what must be the mass of the object?.
Answers
Answer:
128
Explanation:
Financial institutions charge a fee for an overdrawn account because _____.
Answers
Overdraft fees are the fees an individual incurred when they spend more money than they have available in their bank account. Financial institutions charge a fee for an overdrawn account because the individual do not have enough cash in the account to cover a payment made.
Therefore, As part of an overdraft protection service, the bank covers the difference for you and banks usually charge about $35 per instance, showing that one can be charged multiple overdraft fees in a single day.A bank charges an overdraft fee if a purchase by a customer will overdraw their account. The bank tend to cover the overdraft so the transaction goes through.
This transaction only takes place if there is a transaction against your account that takes the balance of your account below zero.
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When a positive charge is released and moves along an electric field line.
Answers
what does it mean expalin it
A manager records the number of hours, x, each employee works on his or her shift and develops the probability distribution below. Fifty people work for the manager. How many people work 4 hours per shift? probability distribution hours worked: x probability: p(x) 3 0. 1 4 ? 5 0. 14 6 0. 3 7 2000. 36 8 0. 06 0 1 2 4.
Answers
Answer:
c
Explanation:
i took the test rn
From the data that we have here the total number of people that are known to work for 4 hours per shift is 2.
How to solve for the workersThe sum of all of these probabilities would be equal to 1. Hence we would have:
0.1+x+0.14+0.36+0.3+0,06 = 1
x + 0.96 = 1
x = 1 - 0.96
x = 0.04
The total number of people that is said to work for this manager is said to be 50.
50 x 0.04
= 2
Therefore the total number that work at 4 hours per shift is 2.
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Difference between point to point and continuous path control system.
Answers
Answer:
Continuous path control system is continuous operation that perform by tool.The program used in continuous path control system is more complex .
Explanation:
Which graph represents the function f(x)=−|x−3|+1 ?.
Answers
Answer: (-1,1) and (3,-3)
What is the density of helium gas at 17°c and 773 torr?.
Answers
Answer:540 g m/s.nrijnvijenvirvijrvnijrvirvirnvrijvnrijvnrivnrijvnrwjivnrij-gvnrgr-b
Explanation:
Raj and Aditi like to play chess against each other. Aditi has won 12 of the 20 games so far. They decide to play more games. How many more games will Aditi have to win to have a 70% winning record? 12 x = 0. 70(20 x) x = x equals StartFraction 20 Over 3 EndFraction is approximately 6. 67. ≈ 6. 67 She will have to win 7 more games to have a 70% winning record. How many more games will Aditi have to win to have an 80% winning record? The linear equation that models this is. Aditi would have to win more games to have an 80% winning record.
Answers
Answer:
They need to win 20 more games
Explanation:
Which factor is critical in determining whether a mother can grow a healthy placenta during the first month of gestation?.
Answers
Answer: Mother's pre-pregnancy nutrition status.
If a minor is caught driving with a bac between. 01% and. 08%, he or she will _____.
Answers
Based on the rules and regulations guiding DUI, if a minor is caught driving with a BAC between. 01% and. 08%, they will be "fined up to $2000 and can be sent to jail for 180 days."
Who is a Minor?A Minor is an individual under the law who is yet to reach a certain determined age for specific action.
Usually, individuals stop being minors when they reach age 18 and above.
What does BAC mean?BAC is an acronym for Blood Alcohol Concentration.
Therefore, given the existing rules and regulations, when a minor is caught driving with a BAC of 0.01% and 0.08%, they will be "fined up to $2000 and can be sent to jail for 180 days."
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Water melts at 0°c. A student observes a liquid that melts at 10ºc. Which conclusion can the student reasonably draw?.
Answers
the liquid has stronger intermolecular forces
Problems with sleep are more common than sleep disorders or parasomnias. Please select the best answer from the choices provided T F.
Answers
Answer:
True
Explanation:
E2023
Answer:
true
Explanation:
What would happen if you did not have the stapedius and tensor tympani muscles?.
Answers
Which statements correctly characterize asoka's reign? select all correct answers.
Answers
Answer:
Roads, hospitals, and monuments were built.
Buddhism spread through missionary monks.
Explanation:
Asoka was the founder of the Moorish dynasty, and extended the kingdom to the western half of northern India. His endeavor, accompanied by fearsome bloodshed, provoked profound spiritual upheavals at Asoka, after which he embraced Buddhism, which had appeared in Magadha two centuries earlier. Since then, the cruel Asoka has become known as the godly Asoka. In the words of the emperor himself, since then his sound was no longer booming, but the voice of dharma.
During his rule, he pursued an official policy of non-violence. The unnecessary killing and mutilation of animals has been abandoned, such as hunting for hunting and stamping.
Asoka also showed mercy to the captives, allowing them a day of freedom each year, and providing ordinary citizens with free education at universities. He treated subjects as equals regardless of religion, politics or caste and made free hospitals for both humans and animals. Asoka defined the main principles of nonviolence, tolerance of sects and opinions, obedience to parents, respect for teachers and priests, human treatment of servants (slavery did not even exist in India at that time) and generosity to all. These reforms are described by Asoka's edicts.
What pressure would a gas mixture in a 10. 0l.
Answers
Read this sentence from an informative essay. After the Civil War, the amount of counterfeit money in circulation was a big problem for the government. The sources for this fact are an article entitled "Know Your Money" from the US Secret Service website and an encyclopedia article entitled "United States Secret Service" by Michael Ray. How should the sources be listed in a parenthetical citation? (Know Your Money; Ray) (US Secret Service; Michael Ray) (Know Your Money; United States Secret Service) ("Know Your Money," US Secret Service; Michael Ray, "United States Secret Service").
Answers
Answer:(know your money ray )
Explanation:
I just took the test on edg good luck
The sources should be listed in a parenthetical citation as: A. (Know Your Money; Ray).
What is a parenthetical citation?A parenthetical citation can be defined as a type of citation that is used as a reference of the original sources used in a literary work, so as to immediately inform readers where the data were obtained from.
In this scenario, we can infer and logically deduce that the sources should be listed in a parenthetical citation as (Know Your Money; Ray).
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Two uniform solid balls are rolling without slipping at a constant speed.
Answers
Before writing a composition it is best to blank it first.
Answers
Answer: Before you start writing, remind yourself of the basic composition composition. Almost all articles have three parts: introduction, body of information and conclusion. The five-paragraph text is a common repetition of this and includes an introductory paragraph, three body paragraphs, and a conclusion paragraph.
Explanation:
Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED? A. 5 B. 4. 5 C. 4 D. 3. 5 E. 3.
Answers
Answer:
3.5
Explanation:
Which of the following methods would not be used to prove that two triangles are congruent?.
Answers
Answer: ASA AAS SSS HL SAS
Explanation:
Please select the word from the list that best fits the definition A democratic system in which the named "ruler" is a symbolic head of state, and power rests in the hands of elected officials. Democracy monarchy constitutional monarchy democratic socialism.
Answers
Answer:
Constitutional Monarchy
Explanation:
just did it
A democratic system in which the named “ruler” is a symbolic head of state, and power rests in the hands of elected officials is the constitutional monarchy.
What is Constitutional monarchy?Constitutional monarchy is a form of state in which there is separation of powers, where the monarch holds the Executive Power appointing the government, while the Legislative Power, is exercised by an assembly or parliament, usually elected by citizens.
In opposition to absolute monarchy, political science distinguishes between constitutional monarchy and parliamentary monarchy. In the constitutional monarchies, the king retains the Executive Power. On the other hand, in the parliamentary monarchies, the Executive Power comes from the Legislative, which is elected by the citizens, the monarch being an essentially symbolic figure.
Therefore, A democratic system in which the named “ruler” is a symbolic head of state, and power rests in the hands of elected officials is the constitutional monarchy.
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Which basic task does the federal bureaucracy have?.
Answers
Answer:
to help rebuild foreign nations after a natural disaster
Explanation:
Which of the following can be best explained by temporary dipole moments?.