A waste management company is designing a rectangular construction dumpster that will be twice as long as it is wide and must hold 18 yd° of debris. Find the dimensions of the dumpster that will minimize its surface area. ? ? Write the surface area formula in terms of the width, x. Assume the dumpster has an open top. SA =

Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches…

A: Given that , Total length of the sheet = 18 inches find width across the top will give the greatest…

Q: What is the area in m^2 of a laboratory which is 0.020 km long and 1.0 X 10 m wide?

A: Given,

Q: the formula for the area of a rectangle is A=lw. true or false ?

A: True  Area of rectangle is length× breadth

Q: A sphere has a diameter of 2 yards. What is its surface area? Use n = 3.14 and round your answer to…

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

Q: Which has the greatest surface area: two pizzas that have 10 inch diameters or one pizza that has a…

A: The diameter of the small pizzas is 10 inch and that of larger one is 20 inch. So, the radius of…

Q: find the lateral area of a regular prism with height h if the base of the prism is a square with…

A:

Q: What’s the length for the other figure?

A: length for the other side = 14 x= 8 If we extend two non- parallel lines then they form a triangle.…

Q: A rectangular gal 8 m is to be fenced 4 times. Fir

A: 11.  Given that a rectangular room of length is 4m and breadth is 3m.

Q: Mars has a diameter of 4212.3 mi. If the Mars Rover traveled s of the way around Mars (in a straight…

A:

Q: 18 yd

A: Area of sector=12r2θ.

Q: One circle has a radius of 8 m, and a second circle has a radius of 10 m. What is the difference in…

A: Let

Q: The volume of a rectangular box is hB, where h is the height and B is the area of the base of the…

A:

Q: My rectangular cabbage patch has a total area of 80 sq. ft. Find its perimeter in terms of the width…

A: Given the data:

Q: The surface area and the volume of this box can be found using the formulas

A:

Q: Find the volume of a cone with a radius of 3 inches and a height of 7 inches in terms of T.

A: We have to find the volume of cone with given radius 3 inches and a height of 7 inches in terms of…

Q: A property owner wants to fence a garden plot adjacent to a road, as shown in the figure. The…

A:

Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

A:

Q: Starting with a 40-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A:

Q: 1.) pedro wishes to use vooft of fencing to enciose a Rectangular garolen. Determine the Maximum…

A:

Q: Calculate the height that we can reach with a 3m ladder leaning against a wall if the bottom of the…

A: First we consider a triangle ABC, in which the height of AB = a, BC = 3m and AC = 7 cm So, the…

Q: A homeowner estimates that she has 34,850 ft squared of lawn. Convert that area of lawn into acers

A: One acre is equal to 43,560 square feet. A homeowner estimates that she has 34,850 feet squared of…

Q: In a survey of a piece of oceanfront property, measurements of the distance to the water were made…

A:

Q: What is the area of the triangle below?

A:

Q: Find the length of the arc outlined in dark black. 2) 5x 10 yd

A: Consider an arc subtends an angle θ at the center. The arc length of such an arc is calculated as,…

Q: A light bulb is placed at a certain distance from the surface of a spherical globe of radius 20 cm.…

A: Torch light illuminates one third of the total area of the surface of globe. Radius of globe=20 cm…

Q: Find the total surface area of a right cylinder in terms of pi if the height is 11 centimeters and…

A: We have to find total surface area of right circular cylinder in terms of π where height is 11 cm…

Q: Find the length of the midsegment of the trapezoid. 18 M 10 MN =

A: We have to find the length of mid segment pf given trapezoid.

Q: A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the…

A: To find the speed per hour with which the boy is cycling

Q: Calculate the amount of concrete required to cover the curved part of a pipe with a diameter of 50…

A:

Q: A search plane carries radar equipment that can detect metal objects (like submarine periscopes or…

A: The search plane radar equipment can detect objects 15.5 miles away. The plane covers a circular…

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: Reba says that if she takes a block of modeling clay and makes different shapes with it, the surface…

A: It is true, because as long as the same block of clay is used, the total area available doesn't…

Q: Use the Newton- Raphson method to find an approximate value of square 24

A: To find the root by Newton Raphson method of square root 24. let x = √24 x2 = 24 f(x) = x2 - 24 = 0…

Q: An open-toped rectangular dumpster that is twice as long as it is wide and can hold 12y cubic yards…

A: Given:An open-toped rectangular dumpster that is twice as long as it is wide and can hold 12y cubic…

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A: Given, The display needs to have floor space of 450 ft2. Used formula - Area of rectangle = Length…

Q: Find the area of an equilateral triangle with sides 4x - 10, and 2X+6. (Round off the final answer…

A:

Q: Find the height of a cylinder if the surface area is 402 square units and the diameter is 15 ubits.

A: Let the height is= h Given that the diameter= 15 units So the radius= r=152=7.5 units

Q: Find the increased in volume of a cylinder if the radius will be doubled and the altitude will be…

A:

Q: You and your friends order an extra large pizza, which has a diameter of 24 in. If you eat a 117…

A: SOME FORMULAS: 1.) Area of the circle = πR2 , where R is an radius of the circle. 2.)Area of the…

Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

A: Given, volume of dumpster= length(l) ×base(b)×height(h) from given condition b=x, l=2x, h=x…

Q: 1. Agutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: What is the length of the diameter for the crcle with standard equation (x- 7) + (y- 2) = 225?

A: Standard equation of circle is given by (x-a)2 + (y-b)2 = r2 where (a,b) is the center of circle and…

Q: The diameter of a circle is 16 in. Find its area in terms of π

A:

Q: Starting with a 40-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: Length of the stone wall is 40 foot. Rectangular enclosure fencing is 280 feet after addition. The…

Q: A waste management company is designing a rectangular construction dumpster that will be twice as…

A: Explanation of the answer is as follows

Q: Write an equation to compute the volume V of the cube using the length of an edge x. V= cm

A: We have to write an equation to compute the volume V of the cube using the length of an edge x.

Q: . The volume of a cylinder is 84r cm². If the height is 21 cm, find the radius.

A: The volume of cylinder is given by   V=πr2h    ... (*)  where V is the volume of cylinder,       r…

Q: What is the area of the triangle above?

A: In given triangle △ABC,  ∠C=900∠B=450 We know that sum of angles of side is 180 Hence,…

Q: find the lenght and width of a rectangle that has the given perimeter and a maximum area perimeter:…

A: We have to find the lenght and width of a rectangle that has the given perimeter and a maximum…

Q: The surface area of a closed box is 200 square feet. If the width and height have the same…

A: Box shape is nothing but cuboid. Surface Area of closed box (Total surface area of cuboid) is 200…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.