You and your friends are hosting a round pizza party, and you are tasked in determining what size the pizzas you should order from Sam's Mathematical Pizza Shop (no relation) should be. Sam's Mathematical Pizza Shop is....odd to say they least, and they cut their pizza so that every slice has a perimeter of 32 inches. What size pizza (in terms of diameter) should you order to ensure that each slice has maximum area?

Q: A rectangular page is to contain 24 square inches of print. The margins at the top andbottom of the…

A:

Q: 3. Find two numbers whose sum is 6, such the sum of their cubes is minimum.

A: Let two numbers are x and y  and S denotes sum of their cubes of numbers  we need to use second…

Q: A wire b m long is cut into two pieces. One piece is bent into an equilateral triangle and the other…

A: given

Q: two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

A:

Q: Two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

A: Given,  Two cities A and B are 8 km and 12 km respectively , north of a river which runs due…

Q: 1. A cable wire 100 meters long is to be cut into two pieces. One of the pieces will be bent into…

A: Let length of one part is x  Therefore length of another part is (100-x)

Q: Let for a two-category one-dimensional problem with   (a) Show that the minimum probability of…

A:

Q: 10.1. A wire of length 12m is cut into two parts, one of which is bent into a square and the other…

A: Given query is to fimd the Maximum area can be made with the wire.

Q: Solve the following L... problem quaphically. IN CUI CIRCHEN maximize z = 4x₁ +5x₂ 4x₁ +5X₂es…

A: In this question, the concept of linear programming is applied. Linear Programming An approach to…

Q: A loan buyer in a secondary market believes that x% of the loans are high quality, and the rest are…

A: Solution: The inquiry says the worth of merchant selling high-quality bonds is equivalent to the…

Q: 2. At 100X, how many full squares (seeing all 4 corners) do you see from the middle of the second…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE HAVE ANSWERED FIRST QUESTIONS FOR YOU AS PER…

Q: 4.1- You are building five identical pens adjacent to each other with a total area of 1000 m², as…

A: Given, Five identical pens are given below.

Q: C. Determine the volume of the Gabriel's Horn by method of slicing in Sec 6.2. D. Determine the…

A: A)  Evangelista Torricelli, 17th century.     B) Gabriel's horn in 3d view.

Q: A small island is 2 miles from the nearest point P on the straight shoreline of a large lake. If a…

A:

Q: A piece of sheet metal is rectangular, 5 feet wide and 8 feet long. Congruent squares are to be cut…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 19. In the article "Do Dogs Know Calculus?" the author Timothy Pennings explained how he noticed…

A: Let DC be x and  t(x) represents time taken by the dog, Elvis in travelling  the distance AD at the…

Q: A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the…

A:

Q: A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a…

A: Let x be the distance down the shore where the boat is landed. t1= time to row to the shore = 52+x23…

Q: An open box is to be made from a piece of cardboard, 15 inches by 15 inches, by cutting equal…

A:

Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

A:

Q: 1. Suppose an airline policy states that all baggage must be box-shaped with a sum of length, width,…

A: Given Data: Assume, The length of the box is: l The width of the box is: w The height of the box is:…

Q: is the find the areas of the other regular polygons listed on the chart, (Show your work) and then…

A:

Q: A cylindrical chemical storage tank with a capacity of 1000 is to be constructed and stood upright…

A: Given dimensions of warehouse is 12m by 15m and has a height of 11m and a cylindrical chemical…

Q: A pentagon is formed by placing an isosceles triangle on a rectangle, as shown in the figure. II the…

A: The given a pentagon is formed by placing an isosceles triangle on a rectangle, as shown in the…

Q: 37. Suppose that 1200 sq. cm of material is available to make a box with a square base and an open…

A: Let the side of the bottom be ax and the height of the box  h.  The volume of the box will be…

Q: 80.) "A rectangular garden plot is to be enclosed, with a fence on three of its sides and a brick…

A: According to the guideline we should able to do only first question at a time please repost the…

Q: Consider the following problem: A box with an open top isto be constructed from a square piece of…

A: Given that A box with an open top isto be constructed from a square piece of cardboard, 3 ftwide, by…

Q: A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a…

A: Let 'x' be the distance from point to the landing position. Given situation in graph is represent as

Q: S, the area of a rectangle with a fixed perimeter increases, reaches a maximum, and then decreases.…

A:

Q: A box, open at the top, is to be made from a square piece of cardboard by cutting a square out of…

A:

Q: 3. Prove that of all rectangles with a given area, the one with smallest perimeter is a square. (Let…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you…

A: 1. The perimeter of a rectangular swimming pool is 86m and its area is 450m2. a. How would you check…

Q: Solve the following inequality graphically in two-dimensional plane:2x + y ≥ 6

A:

Q: A farmer wants to fence in two rectangular corrals, equal in area, using an inner fence as shown in…

A: Given;

Q: A first class radio-telephone operator wishes to cut the wire 100 meters long into two pieces. One…

A:

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: 2. An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The bottom…

A: To find out the sum of x and y for the most economical dimensions.

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A:

Q: 1. Amazon wants to create an open-top box with a square bottom with only 149 in2 cardboard (the…

A:

Q: O Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow…

A: In order to solve this problem we need to frame this as arithmetic progression series and solve it…

Q: A wire 12 inches long is cut into two, one part is bent in the form of a circle, and the other into…

A: Given that, the length of the wire is 12 inches. Note that, the formula for area of the circle is…

Q: if the hypotenuse of a right triangle is 25, show that the area is a maximum of it is isosceles

A:

Q: The Cones of Dunshire is a new board game in which all of the main play pieces are cones. If you…

A:

Q: According to the shipping regulation of a company, the girth plus the length of a parcel sent by…

A:

Q: For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular…

A: Given that an aluminium box container is in the shape of right circular cylinder and has capacity of…

Q: Given that the perimeter of an isosceles triangle has 26 cm. If we want to maximized its area, what…

A:

Q: Solve the following inequality graphically in two-dimensional plane:3y – 5x < 30

A: We first graph 3y-5x=30 using a table  x 0 -6 y 10 0

Q: compute the problem: into a right triangle with legs x and y units long, a square is inscribed in…

A:

Q: A person in a rowboat is 3 km from a point P on a straight shore while his destination is 5m…

A: Given information: A person in a rowboat is 3 km$ from a point P on a straight shore while his…