Write a discussion paper on the Foundations of Trigonometry.

Write a discussion paper on the Foundations of Trigonometry.
Chapters 7 and 8 (Abramson, J. (2017). Algebra and trigonometry. OpenStax, TX: Rice University. Retrieved from https://openstax.org/details/books/algebra-and-trigonometry)

For the paper, answer the following questions:
(1) Find the length of an arc in a circle of radius 10 centimeters subtended by the central angle of 50°. Show your work.
(2) Graph f(x) = x sin x on [-4π, 4π] and verbalize how the graph varies from the graphs of f(x) = +-x.
Graph f(x) = (sin x) / x on the window [-5π, 5π] and describe freely what the graph shows. You can use www.desmos.com/calculator to obtain the graphs.
(3) A 23-ft ladder leans against a building so that the angle between the ground and the ladder is 80°. How high does the ladder reach up the side of the building? Show the steps of your reasoning.

Be sure to use in-text citation and provide references for your sources, including textbooks.

Explain how we could understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles?

Read:
Chapters 7 and 8 (Abramson, J. (2017). Algebra and trigonometry. OpenStax, TX: Rice University. Retrieved from https://openstax.org/details/books/algebra-and-trigonometry)

For the discussion post, answer the following questions:
One of the largest issues in ancient mathematics was accuracy—nobody had calculators that went out ten decimal places, and accuracy generally got worse as the numbers got larger.
The famous Eratosthenes experiment, that can be found at https://www.famousscientists.org/eratosthenes/, relied on the fact known to Thales and others that a beam of parallels cut by a transverse straight line determines equal measure for the corresponding angles.
Given two similar triangles, one with small measurements that can be accurately determined, and the other with large measurements, but at least ONE is known with accuracy, can the other two measurements be deduced? Explain and give an example.
The similarity of triangles gives rise to trigonometry.
Explain how we could understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles?
Ultimately, the similarity of triangles is the basis for proportions between sides of two triangles, and these proportions allow for the calculations of which we are speaking here.
The similarity of triangles is the foundation of trigonometry.

Be sure to use in-text citation and provide references for your sources, including textbooks.

You are to conduct a personal interview with at least two individuals who have been in a supervisor or managerial position for a minimum of three years for the purpose of this assignment we were the fire supervisor a managerial position

You are to conduct a personal interview with at least two individuals who have been in a supervisor or managerial position for a minimum of three years for the purpose of this assignment we were the fire supervisor a managerial position as follows. Sent assignment in files too!

Explain how they formulated their questions, using theories from the course.

Reflection paper # 2
In this second section of the semester we examined with Propper (2008) how genetic polymorphisms and maternal sensitivity interact over the first year of life to condition the ability to recruit RSA withdrawal when challenged. We moved on to explore a cascade model proposed by Kochanska (2012) in which attachment and assertive forms of parental discipline affect the association b/w child temperament and child antisocial outcomes.
For the purpose of this 2ndreflection paper, I would like you (1) to select either Propper or Kochanska and introduce your reader to this authors’ primary question, (2) explain how they formulated their questions, using theories from the course, (3) provide a concise summary of the main findings, and (4) describe their contribution to our knowledge of developmental processes.

Limit your entry to the equivalent of a page and a half, Times 12, double spaced.

Describe the different historical definitions, causal explanations, and responses to white collar crime.

Part one: Describe the different historical definitions, causal explanations, and responses to white collar crime
Part two: Apply anomie theory to white collar crime
Part three: Analyze the interactional contexts in which white collar crimes most often occur
Part four: Explain the ways in which white collar offenders manage the stigma of white collar crime
The posts will be graded according to the following criteria:
Relevance: the ideas expressed indicate that the student has read and comprehended the assigned material.
Clarity, coherence: the ideas are stated clearly and coherently.
Critical thinking: there is evidence that the student has adequately analyzed, synthesized, and evaluated the assigned material.
Poses a question for discussion: the posting articulates a question for discussion that pertains to the assigned material.
Spelling, grammar: the posting must meet university-level standards of spelling and grammar.