wheel has a radius of 5 feet. What is the minimum number of complete revolutions that the wheel must make in order to roll at least 1,000 feet?

Q: *. .. The sum of the perimeters of an equilateral triangle and a square is 21. Find the dimensions…

A:

Q: A 216 m2 rectangular pea patch is to be enclosed by a fence and divided into two equal parts by…

A:

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 81…

A: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 81…

Q: A tank shaped like a right circular cone, vertex down, is 9 feet high and has

A: Given: Let h metres be the height of right circular cone. And d metres is diameter at time t. Then…

Q: What is the largest possible area of a right triangle whose hypotenuse is 5 cm long?

A: according to question,  hypotenuse of a right triangle is 5 cm let the base be b=x and perpendicular…

Q: A Norman window, consisting of a semicircle surmounting a rectangle, has a fixed perimeter P. Find…

A:

Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Given the area of rectangular picnic is 8000 m2 is being constructed along the edge of a river. It…

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A:

Q: Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r=14

A: We will find required as shown below

Q: Among all rectangles whose area is 400 m^2, which one has the smallest perimeter?

A: The objective of the question is determine the sides of the rectangle for which the perimeter is…

Q: An equilateral triangle has a perimeter numerically equal to its area, which is not zero. Determine…

A: Let the length of side be ' a '

Q: Find the area of the largest rectangle that can be inscribed in a right triangle withe legs of…

A:

Q: A tile setter plans to use 5 1/2 inch square tiles along the base of a room that is 7 feet long.…

A:

Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: 6. A rectangular field is fenced off, an existing wall being used as one side. If the area of the…

A: A rectangular field is fenced off. Let l be the length l and w be the width of the rectangular…

Q: gutter with a trapezoidal cross-section is to be made from a long strip of metal 22 cm wide by…

A:

Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: Area of a rectangle with length x and breadth y is given by x.y. Perimeter of a rectangle with…

Q: Find the minimum cost of a rectangular box of volume 150 cm³ whose top and bottom cost 5 cents per…

A: Let the length, width and height of the rectangular box be x,y,z, respectively. So, volume,…

Q: There are 5 posts on every side of a regular octagon (8-sided polygon). What is the minimum number…

A: Solution

Q: A rain gutter is to be made of aluminum sheets that are 12 inches wide by turning up the edges 90°.…

A: Given:    Wide = 12 in     Edges = 90°  At least 16 square

Q: Find the area of an equilateral triangle with radius 2V3.

A: Known fact: The area of equilateral triangle is given by A=34a2 where a is side length of…

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a depth of 3…

A: Given :                     A rectangular pool with length 50 m and width 25 m.  To find :…

Q: 2. Postal regulations require that the sum of the length and girth of a rectangular package may not…

A: Let, length of side of square is, x and length of box is y  Postal restrictions are such that…

Q: A rectangular room is 5m and 6 cm long AND 3.96 m wide. Determine the largest size of a square tile…

A: Convert the length and width in centimetres than take the highest common factor and that factor will…

Q: What is the largest area of a rectangle that could be inscribed in a semi circle having a radius of…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the circle is given…

Q: What is the maximum area of a rectangle that can be inscribed in a right triangle with a base 8 cm…

A:

Q: 1. Find the dimensions of the rectangular corral producing the greatest enclosed area split into 3…

A: Given query is to find the dimensions of the rectangular corral

Q: The maximum possible volume of a rectangular box with the sum of its twelve edges 60 cm is

A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

Q: What is the maximum area of atriangle which is in scribed in acircle of radius 4cm and one of its…

A:

Q: • What is the largest rectangular area that can be enclosed by a fencing material 240m in length?

A: Here we have to find the area of the largest rectangle having perimeter= 240 m  Let the breadth of…

Q: what is the minimum perimeter that a rectangle with an area of 32 ft2 can have?

A:

Q: Two poles, one 6 meters tall and one 15 meters tall, are 20 meters apart. A length of wire is…

A:

Q: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

A: The base area of the given square pyramid is 100 square inches. Then the side of the base of the…

Q: A 10-ft wire is to be formed into an equilateral triangle and a square. What is the measure of the…

A: Given;+ A 10-ft wire is to be formed into an equilateral triangle and a square. To find What is the…

Q: The keyboard on a particular computer has a rectangular shape where the lenght is 244 mm and the…

A: Solving by given information we have

Q: A 50cm board leans against a wall to make a shape of a right angled triangle. What is the max…

A: To find the max perimeter of the right angled triangle.

Q: A parcel delivery service will deliver a package only if the length plus girth (distance) around…

A: Given problem is :

Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: Find the largest possible area of a rectangle that can be inscribed in a circle having a radius of…

A: We find largest possible area of a rectangle that can be inscribed in a circle having a radius of…

Q: WHAT IS THe MAXIMUM AREA ENCLOSED BY A RECTANGLE HAVING PERIMETER OF 52 INCHES?

A:

Q: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

A:

Q: The perimeter of a triangle is 102cm and its area is 431.1554cm2. Find the maximum diameter of a…

A: Given: Area of triangle = 431.1554 cm2 Perimeter of triangle = 102 cm We know that the incircle of a…

Q: Find the dimensions of a rectangle of area 324 ft2 that has the smallest possible perimeter.…

A:

Q: Of all rectangles with area 64, which one has the minimum perimeter?

A: It is required to find the dimensions of rectangle having area 64 units which will have a minimum…

Q: The standard running track size for track and field events is 400 m. The track consists of two…

A: Given that: Size of the track = 400 m Area enclosed = 9430 m2

Q: You want to make a skirt to go around the bottom of a round chair with a radius of 2 feet. What is…

A: We will find the minimum length of fabric  required as following.

Q: You can “unfold” a cube to make six squares, shaped like a cross. You can unfold a cylinder to make…

A: Given: If we unfold a square we get six square shaped like a cross and if we unfold a cylinder we…

Q: To create an open tray from a 24" by 36" sheet of metal, squares are cut from each corner. Find the…

A: Let x be the side of the square that has to cut from 24" by 36". The length of the tray will be…