A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Give your answers correct to two decimal places.) (a) How much wire should be used for the square in order to maximize the total area? 21 m (b) How much wire should be used for the square in order to minimize the total area?

Q: A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it…

A: Here we will find the lengths of sides of rectangular field to minimise cost of fence,

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: A Norman window has the shape of a rectangle surmounted by a semicircle. This implies that the…

Q: A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 11 mi from…

A:

Q: A cylindrical gift box, whose top is in the shape of a hemisphere, is to be covered by gift papers.…

A: Volume of cylinder is given by V=πr2h Total surface area of cylinder is given by A=2πrh+2πr2 Where h…

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

A:

Q: 1. Two poles are connected by a wire that is also connected to the ground. The first pole is 20 ft.…

A: Given: Two poles are connected by a wire that is also connected to the ground.The first pole is 20…

Q: 2. A rancher from above needs two equal adjacent rectangular pens that share a fence in the middle.…

A: Given that ,Rancher needs two equal adjacent rectangular pens with a fence in middle. this can be as…

Q: A cardboard box with an open top and a square bottom is to have a volume of 30 ft3. Use a table…

A:

Q: rectangular pen is built with one side against a barn. If 300 m of fencing are used for the other…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 1. A farmer intends to make four identical rectangular pens each with an area of 100 m? as shown in…

A:

Q: (b) A wire of length 100 centimeters is cut into two pieces. One piece is bent to form a square. The…

A:

Q: 2). We want to construct a box whose base length is three times the base width. The material used to…

A:

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 9 mi from…

A: We have given the distance from the boat (considering point B) to nearest point (considering point…

Q: A rectangular box with a volume of 1088 ft° is to be constructed with a square base and top. The…

A: Let   So,  volume=x2y=1088y=1088x2

Q: A piece of wire 6 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: A piece of wire 30 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and…

A: Given: A jewelry box with a square base is to be built with silver-plated sides, nickel-plated…

Q: An island is 3 kilometers due north of its closest point along a straight shoreline. A visitor is…

A: Choose the point Q in between the Shoreline, and consider the path PQR. Let x be the distance that…

Q: A piece of wire 29 m long is cut into two pieces. One piece is bent into a square and the other is…

A: A piece of wire 29 m long is cut into two pieces. One piece is bent into a square and the other is…

Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: A piece of wire 15 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: Your task is to design a rectangular industrial warehouse consisting of three separate spaces of…

A:

Q: 5) The hypotenuse of a right triangle is 12 cm in length. Calculate the measures of the unknown…

A: To find the dimensions of given triangle such that it has maximum area.

Q: A rectangular container that will be twice as tall as it is wide is to be constructed. The volume of…

A: Let the width of the rectangular container be x ydThen the length of the rectangular container will…

Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: I am attaching image so that you understand each and every step.

Q: Coca-Cola wants to minimize the production costs of its cans. Assuming the cans are the shape of a…

A:

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: & Two posts, one 8 feet high and the other 12 feet high, stand 15 feet apart. They are to be stayed…

A:

Q: A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is…

A: We will use derivative test to solve this.

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The…

A: Given A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical…

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 10 mi from…

A: a.Let x be the distance between the nearest point on a shoreline and the point where she stands. The…

Q: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 7 mi from…

A:

Q: A 3-meter long iron wire is cut in two. One piece is to form a square and the other a circle. b)…

A: Let x  be the length of square.So the length of circle will be 3-x.Perimeter of…

Q: piece of wire 26 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: A piece of wire 21 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: You’re building five identical pens adjacent to each other with a total area of 1000 m^2, as shown…

A:

Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm…

A:

Q: 5. A piece of wire 30cm long is cut into two pieces. One piece is bent into a square and the other…

A:

Q: A rectangular box with a volume of 375 ft is to be constructed with a square base and top. The cost…

A:

Q: An isosceles triangle has a perimeter of 30cm. What is the length of the base if its area is to be…

A:

Q: 15. A rancher will use 600 m of fencing to build a corral in the shape of a semicircle on top of a…

A:

Q: A rectangular box with a volume of 931 ft° is to be constructed with a square base and top. The cost…

A: Solution is given below:

Q: 4. A Norman window has the shape of rectangle surmounted by a semicircle. (Thus the diameter of the…

A:

Q: A piece of wire 8 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Given,

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An…

A: The total volume of the industrial tank is,

Q: A farmer wants to fence in an area of 1.5 million square feet in a rectangular field and then divide…

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 7 mi from…

A: a) Let x be the distance between nearest point and point on which she lands, r be the rowing…

Q: Two chicken coops are to be built adjacent to one another from 144 ft of fencing. Part: 0/ 2 Part 1…

A: Two chicken coops are to be built adjacent to one another from 144 ft of fencing To find dimensions…

Q: 17. cubic feet. The cost per square foot for the bottom is 12 cents, and for the sides is 10 cents.…

A: To Determine: Find the dimensions that will minimum the cost of the box ,to the nearest hundredth of…