iece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (Round your answers to two decimal places.) ) How much wire (in meters) should be used for the square in order to maximize the total area? m ) How much wire (in meters) should be used for the square in order to minimize the total area? m

Q: An open top rectangular tank with square bases is to have a volume of 10 cubic meters. The material…

A: let x = one side of the square baselet h = the height of the open box The volume:      x2h=10h=10x2…

Q: A sphere is inscribed in a right circular cone whose slant height has a length equal to diameter of…

A: Draw the corresponding figure.   According to the figure, slant heights are AB and AC and the…

Q: 58. A metal storage tank with volume V is to be constructed in the shape of a right circular…

A:

Q: 3. An L-shaped lot has uniform, unknown width. The lengths of the external sides of the lot are 15 m…

A: A L-shaped lot is given.  Lot has uniform width. Let width of the lot =x m Area of the lot=66 m2…

Q: 6. A rectangular area of 3200 ft² is to be fenced off. Two opposite sites will use fencing costing…

A: Solution:- area of rectangle= length * breadth

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A:

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

A:

Q: 3. Solve for the volume of a right octagonal pyramid where the perimeter of the regular octagonal…

A: Consider the given: Since the perimeter of the regular octagonal base is 0.1 meter. Let the side of…

Q: 5. The measurements of closed rectangular box are length, x = 5m, width y = 3m, and height, z =…

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: The volume of a solid truncated prism is 8200 cm^3. The base is rectangular with its length twice…

A: Let width be x, so length is 2x Edge lengths are 12, 12, 16, 16 cm So the volume of this figure will…

Q: A pastry chef is making a batch of mini petit four, which are little cakes, in the shape of cubes.…

A: Given  Volume (V)=47 cm3

Q: 5.) A box is to be constructed from a square piece of zinc with side 40 in by cutting equal squares…

A: Explanation of the answer is as follows

Q: The official diameter of a tennis ball is 2.575 inches. They are sold in cylinder-shaped canister…

A:

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A:

Q: An open-top prism shaped box with a square base and a volume of 6 m is desired to be made. The…

A:

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A: Solution : We have given the cost of east and west sides fencing is $4 per foot and for north and…

Q: is located 1 km north of the north bank of a straight river that is 3 km wide. A pipeline is to be…

A:

Q: desk top has the shape of a trapezoid. The two parallel sides have lengths 2 m and 2.8 m, and the…

A:

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A:

Q: Two different types of flat metal sheets will be cut in appropriate sizes and combined to make an…

A: The answer is in step 2

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

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: $0.10/cm^2 to reinforce the can's shape, two metal wires of equal length will each be bent into a…

A:

Q: 4. The diagonal of a rectangle is 6 cm longer that its base. Its height is 10 cm more than one-third…

A:

Q: 14. A box with a square base and open top must have a volume of 32,000 cm³. Find the dimensions of…

A:

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: 4) A rectangular pigpen is to be constructed with material that cost $5 per foot on 3 sides and $8 a…

A:

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: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A: We have to find the dimensions of rectangle

Q: 2. An LPG tank is to hold x cubic meter,. It is constructed of a cylinder capped on top by a…

A: The volume of the LPG tank is x cubic meter. It constructed with a hemisphere and a cylinder. Let's…

Q: 1. The volume of a right prism is 234cm with an altitude of 15cm. If the base of the prism is an…

A:

Q: 1. The volume of a right prism is 234cm' with an altitude of 15cm. If the base of the prism is an…

A: We will solve the problem

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: 1.) An open box is to be made with a volume of 36,000 cm3. Find the least material or surface area…

A: Given : An open box with volume 36000 cm2 Also, length=2×width Let,Length=lWidth=wheight=h…

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: 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: The volume of a truncated prism with an equilateral triangle as its horizontal base is equal to 3500…

A:

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A: Let the length of the patch lies in the north or south side and it is x ft and width of rectangular…

Q: piece of wire 9 m long is cut into two pieces. One piece is bent into a square and the other is bent…

A: The solution is given below

Q: A bakery sells hollow chocolate spheres. The larger diameter of each sphere is 4 cm. The thickness…

A:

Q: A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is…

A: Given:     Volume = 516π

Q: 2. A rectangular sheet of cardboard 8 m by 4 m is used to make an open box by cutting squares of…

A: Volume of cube = a3Volume of cuboid =l×b×hWhere l is length , b is breadth and h is height .