The area of a circle is 225π square inches. Find the area of the sector whose central angle is 45o.  Round your answer the the nearest tenth if necessary. ​

Answers

Answer 1

Rounding to the nearest tenth, the area of the sector is approximately 28.1 square inches.

To find the area of a sector, you need to know the central angle and the radius of the circle. In this case, we are given the central angle of 45 degrees, but we don't have the radius of the circle.

However, we are given the area of the entire circle, which is 225π square inches. The formula for the area of a circle is A = πr², where A represents the area and r represents the radius.

To find the radius, we can rearrange the formula to solve for r: r = √(A/π). Substituting the given area of the circle, we get r = √(225π/π) = √225 = 15 inches.

Now that we know the radius is 15 inches and the central angle is 45 degrees, we can calculate the area of the sector. The formula for the area of a sector is A = (θ/360) * πr², where θ represents the central angle and r represents the radius.

Plugging in the values, we get A = (45/360) * π * (15)² = (1/8) * π * 225 = 28.125π square inches.

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Related Questions

select all the statements that describe the cadenza in most classical concertos.
1. The classical concerto is a three-movement work for instrumental soloist and orchestra.
2. There are many ways of combining the soloist and orchestra, such as the soloist accompanying the orchestra when it has the theme.
3. The classical concerto combines the wide range of dynamics and tone colors of the orchestra with the virtuosity of the soloist.

Answers

While the soloist plays dazzling scale passages and dissonant chords, the orchestra briefly pauses. The fermata is true about Cadenzas in that it indicates the point in the movement where the cadenza is to be played.

A cadenza can be heard at any time during a concerto, but it typically appears near the end of the first movement. A cadenza is utilised in the first five minutes of Tchaikovsky's First Piano Concerto as an illustration.

Near the end of a piece of music, a soloist will perform a section of improvised music known as a cadenza. The last few notes of a phrase are known as the "cadence," which is where the term "cadenza" originated.

Cadenzas were initially improvised, but the composer eventually wrote them down.

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Question completion status:
you are the front desk manager and the hotel is sold out for tonight. you have bus groups checking into the hotel around 4 o'clock and it is going to be a very busy
shift. housekeeping should
be able to have all the rooms clean for the group as long as they are aware of the rooms that the front desk has assigned to the group
how would the manager determine what rooms the group should be assigned to?

Answers

The front desk manager would determine the rooms to be assigned to the bus group by coordinating with the housekeeping department and considering factors such as the group's size, specific room requirements, and availability of clean rooms.

As the front desk manager, determining the rooms to be assigned to the bus group requires effective coordination with the housekeeping department. The manager should communicate the group's arrival time and size to housekeeping, ensuring that they are aware of the rooms that need to be cleaned before the group's arrival.

The manager would consider factors such as the group's size and any specific room requirements they may have, such as accessible rooms or adjoining rooms for families. The availability of clean rooms is also a crucial factor, as the hotel may be sold out or have limited inventory due to high occupancy.

By coordinating with housekeeping and considering these factors, the front desk manager can assign rooms to the bus group in a way that meets their needs and ensures that all assigned rooms are clean and ready for their arrival. This proactive approach helps streamline the check-in process and provides a positive experience for the group during their stay at the hotel.

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centerlines have precedence over hidden lines. true or false

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The statement "Centerlines have precedence over hidden lines" is generally true in the context of technical drawing and engineering graphics.

Centerlines and hidden lines are both types of lines used to represent different features of an object in a drawing, and they serve different purposes.

Centerlines are used to represent the axis or center of symmetry of a cylindrical or symmetrical object. They are used to indicate the center of circles or arcs, as well as the axes of symmetry for symmetrical parts.

Centerlines are typically drawn as a series of alternating long and short dashes, with the long dashes indicating the endpoints of the centerline.

On the other hand, hidden lines are used to represent features of an object that are not visible in a particular view of the object.

Hidden lines are typically shown as short dashes or dots, and they are used to indicate edges or surfaces that are hidden from view.

When centerlines and hidden lines intersect, centerlines have precedence over hidden lines.

This means that the centerline takes precedence in terms of visibility, and it should be drawn in such a way that it appears uninterrupted and unbroken, even if it intersects with a hidden line.

This precedence is important because centerlines provide important information about the object being depicted. They show the axis of symmetry and can indicate important features such as holes, slots, or other symmetrical features.

In contrast, hidden lines are used to represent features that are not visible, and they are typically less important in terms of conveying critical information about the object being depicted.

In summary, centerlines have precedence over hidden lines in technical drawing and engineering graphics, and it is important to ensure that centerlines are drawn in such a way that they are uninterrupted and unbroken, even if they intersect with hidden lines.

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Wynton explains that artists have a responsibility to be engaged with our way of life".


What does he mean by that? How has Wynton Marsalis addressed the social issues still


affecting our country? Be specific.


I

Answers

When Wynton Marsalis says that artists have a responsibility to be engaged with our way of life, he is highlighting the role of artists in reflecting and responding to the societal issues, concerns, and realities of their time.

He believes that artists should not exist in isolation from the world but should actively participate in and contribute to the broader cultural, social, and political conversations.

Wynton Marsalis, as a renowned jazz musician, composer, and educator, has indeed addressed social issues affecting our country in various ways. He has used his platform and artistic expression to shed light on topics such as racism, inequality, and social justice. One significant example of his engagement is his composition "Blood on the Fields," which addresses the historical context of slavery, oppression, and the quest for freedom. This work, which won the Pulitzer Prize for Music in 1997, serves as a powerful exploration of the African American experience and the ongoing struggle for equality.

Moreover, Marsalis has been actively involved in educational initiatives aimed at providing opportunities and preserving the cultural heritage of jazz music. He has founded educational programs, such as Jazz at Lincoln Center, to promote jazz as a vital art form and to engage young musicians and audiences. Through these initiatives, he has worked towards fostering greater inclusivity and appreciation for the contributions of African American artists to American culture.

In addition to his musical endeavors, Marsalis has spoken out on social issues through interviews, articles, and public speeches. He has emphasized the importance of empathy, dialogue, and understanding in addressing the deep-rooted divisions and challenges our society faces. By using his voice and influence, Marsalis has encouraged critical thinking and raised awareness about the need for positive change.

In summary, Wynton Marsalis believes that artists should be actively engaged with the social fabric of our society. He has addressed social issues through his musical compositions, educational initiatives, and public advocacy, bringing attention to topics like racism, inequality, and social justice. By doing so, Marsalis has contributed to the broader conversation and encouraged meaningful dialogue and reflection.

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What is the number of goals scored by two football teams hackerrank?

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The "Number of Goals" problem on Hackerrank involves calculating the total number of goals scored by two football teams given their scores in multiple matches.

The "Number of Goals" problem on Hackerrank requires the programmer to read in a set of input values representing the scores of two football teams in multiple matches. The program must then calculate the total number of goals scored by each team and print out the result. The input values are given in the form of a two-dimensional array, where each row represents the scores of a single match. The program must loop through the array, summing up the scores for each team, and then print out the totals. This problem requires a good understanding of array manipulation and looping, as well as basic arithmetic operations. The solution will likely involve nested loops and conditional statements to accurately calculate the total number of goals scored by each team.

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1. What is constructive criticism?
2. What is cool feedback?
3. What is warm feedback?
4. Two Positive Examples of Cool Feedback to give to an actor.
__ 5. Two Examples of warm feedback to give to an actor.
__ 6. Why criticism is essential to the developing actor?
__ 7. What is a good practice to keep in mind when receiving criticism during a critique?
__ 8. Critique an actor in a film by offering positive cool feedback and warm feedback.

Answers

Answer:  1. constructive criticism is a type of feedback that offers advice to help employees, it helps  employees to improve

2. cool feedback is not a criticism  it actually  to think from a different perspective

3. warm feedback is a positive statement about anything

Explanation:

i hope this helps you :)

a serial comma is recommended when writing with or for a. ap b. apa c. chicago manual of style d. u.s. government printing office e. mla

Answers

A serial comma (also known as the Oxford comma) is recommended for the APA, Chicago Manual of Style, and the U.S. Government Printing Office styles. The MLA style is more flexible, allowing the writer to choose based on clarity.

A serial comma is the comma used immediately before the coordinating conjunction (usually "and" or "or") in a list of three or more items. The usage of the serial comma depends on the style guide being followed.

For the American Psychological Association (APA) style, the serial comma is recommended to avoid ambiguity and maintain clarity. Similarly, the Chicago Manual of Style endorses the use of the serial comma for the same reasons. The U.S. Government Printing Office also recommends using the serial comma in its style guide.

In contrast, the Modern Language Association (MLA) style allows more flexibility regarding the serial comma. The MLA Handbook advises writers to include the serial comma if it helps to clarify the meaning of the sentence. If the meaning is clear without the serial comma, it may be omitted. Ultimately, the choice depends on the writer's judgment and the context of the sentence.

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The El Paso International Airport and the El Paso Zoo recently held an exhibit that displayed paintings made by orangutans, elephants, gila monsters and meerkats. Does this qualify as art? Make an argument in favor or against and support your case

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The question of whether the paintings created by orangutans, elephants, gila monsters, and meerkats at the exhibit held by the El Paso International Airport and the El Paso Zoo qualify as art is subjective and open to interpretation.

In favor of considering it art, one could argue that art is not limited to human creation alone. It is a form of expression that can transcend species boundaries. The animals in question are given the opportunity to engage in a creative process, using various techniques and materials, resulting in unique visual representations. The intention behind their actions, the process of creation, and the final outcome can be seen as elements that align with the broader definition of art.

Furthermore, the artistic value of these animal-created paintings can be appreciated from a perspective of novelty and authenticity. The works possess a certain rawness and instinctive quality, reflecting the natural behaviors and characteristics of the animals involved. This offers viewers a fresh and unconventional experience, challenging preconceived notions of what art should be.

On the other hand, arguments against considering these paintings as art could be based on the concept of intentionality and the role of human agency in artistic expression. Critics may argue that true art requires conscious intention, conceptualization, and the ability to convey abstract ideas or emotions. Since animals lack the same level of cognitive understanding and artistic intent as humans, their creations may be considered more as a byproduct of their natural behaviors rather than deliberate artistic expression.

In conclusion, the question of whether the paintings created by orangutans, elephants, gila monsters, and meerkats qualify as art is a matter of perspective. While some may find value in the novelty, authenticity, and creative process involved, others may argue that art necessitates conscious intent and human agency. The exhibit provides an opportunity for viewers to engage in this debate and challenge their preconceptions about art.

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