What is the diameter of the pizza

Assignment Help Mathematics
Reference no: EM131143443

A slice of circular pizza has perimeter 32 inches. Denote the central angle of the slice of pizza by theta radians and the radius by x inches. What is the diameter of the pizza which give maximum area (and hence the most pizza)? Justify your answer. Show a sketch and recall that the area of the sector of a circle with central angle theta radians and radius R is 1/2R2 theta and the length of the arc cut off by such an angle has length R(theta) with the angle measured in radians again.

Reference no: EM131143443

Questions Cloud

Find an equation relating x and ? : One end of a rigid rod of length 3 feet is attached to a wheel of radius 1 foot, centered at the origin. The wheel is free to rotate about the origin. Find an equation relating X and θ
Why the customer contacts system hold inaccurate information : In order to understand why the Customer Contacts system holds inaccurate information, it is necessary to identify each of the four key systems at Minitrex. In particular, please identify the flow of information among these systems.
What are the dimensions of the pen : A farmer is constructing a rectangular pen by placing a fence on the boundary for dealing with his cattle. If he has 360 feet of fencing, what are the dimensions (length and width) of the pen which will maximize the total area of the pens? Justify ..
Calculate horizontal length ab : Similar to Problem 27.19, except the air base is 6940 ft, the flying height above mean sea level is 12,520 ft, the x and y photo coordinates on the left photo are xa = 37.98 mm, ya = 50.45 mm, xb = 24.60 mm, and yb = -46.89 mm, and the x photo coo..
What is the diameter of the pizza : A slice of circular pizza has perimeter 32 inches. Denote the central angle of the slice of pizza by theta radians and the radius by x inches. What is the diameter of the pizza which give maximum area
How many flight lines will be needed to cover the tract : how many flight lines will be needed to cover the tract for the data given in Problems?
Paper that either supports or refutes statistical data : Write a 700- word paper that either supports or refutes statistical data as a means of supporting criminal justice policy. Remember to back up your argument with factual, peer-reviewed references.
Write an equation of the tangent line to the graph : Write an equation of the tangent line to the graph of a differentiable function (y as a function of x) which satisfies the relation x2 + 4xy + y2 = 13 at the point (2,1)
Why should corporations have a counter intelligence function : Why should corporations have a counter intelligence function? - What impact does corporate espionage have on the security and well-being of the United States?

Reviews

Write a Review

Mathematics Questions & Answers

  Find the real number restrictions on x in the expression

Find the real number restrictions on x in the expression

  Relationship between the rank of a matrix

What's the relationship between the rank of a matrix and singular values in singular value decomposition?

  How many gallons of color are there

a paint mixture contains 7 gallons of base for every gallon of color. In 208 gallons of paint, how many gallons of color are there?

  Question on fractions and rational expressions

What is a complex fraction? What are the two ways to simplify a complex fraction? Show an example. What is the least common denominator? How do we use the least common denominator when adding rational expressions?

  What is the annual rate of return for this investment

What is the annual rate of return for this investment?

  Find the volume of this volcano

A volcano fills the volume between the graphs z = 0 and z = frac{1}{left( x^{2} + y^{2} right)^{16}}, and outside the cylinder x^{2} + y^{2} = 1. Find the volume of this volcano.

  Which alternative is the best choice

which alternative is the best choice? and why?

  Why vectors qr and rq are not equivalent

Explain why vectors QR and RQ are not equivalent. Explain when the elimination method for solving a system of equations is preferable to the substitution method. Give examples.

  Find the speed of the passenger train

the speed of a freight train is 22mph slower than that of a passenger train. The freight train travels 250 mi in the same time it takes the passenger train to travel 480 mi. Find the speed of the passenger train.

  Find location of point p that allow bird to complete journey

Find location of the point P that allows bird to complete its journey in the minimum time (solve for x). Minimizing Travel Time A woman is on a lake in a rowboat located 1 mi from the closest point P of a straight shoreline.

  How much binding did the quilt maker use to bind

a square quilt displayed at the colonial museum measured 425 cm. on each side. how much binding did the quilt maker use to bind the edges of the quilt?

  Explain how many quarters does have

Marcy has a total of 100 dimes and quarters. if the total value of the coins is $14.05

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd