In the diagram, the cylinder and the hexagonal prism have the same height, h = 12 centimeters, and any horizontal cross sections at the same height have equal area.

Q: A square pyramid has base edges that each measure 6 m, a slant height that measures 5 m, and an…

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Q: The hypothenuse of the right triangle is 15cm long. If each leg were decreased by 2cm, the…

A: Given :           By hypotenuse theorem,     a2 + b2 = 152 .............(1)a-22 + b-22 = (15-4)2 a2…

Q: At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is…

A: Given each mold is a rectangular prism whose height is 3 inches greater than the length of each side…

Q: The center of a ceiling fan is at (2, 8). If the radius is 12in, what equation represents the outer…

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Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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Q: A satellite dish is in the shape of a parabolic surface has a diameter of 20 feet. If the receiver…

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Q: The base of the rectangular pyramid shown above has one side that measures 5 inches, one side that…

A: To determine the area of the vertical cross-section of the pyramid that is parallel to longer side…

Q: A cylindrical tank to hold gasoline at a gas station is designed to have a height equal to twice the…

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Q: Given the geometric solid figure, describe the two-dimensional figure that is created by the cross…

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Q: On moving day, Guyton needs to rent a truck. The length of the cargo space is  10   ft , and the…

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Q: A cylinder and a cone, each with 9-m radii and 5-m heights Are the shapes similar? If the shape are…

A: A cylinder and a cone, each with 9-m radii and 5-m heights

Q: In the diagram below, the cube's side length and the sphere's diameter is equal. If the sphere's…

A: Given: Sphere radius is one and four tenths feet  And also the cube's side length and sphere's…

Q: On a scale drawing, the scale is - inch = 1 foot. What are the 2 %3D dimensions on the scale drawing…

A: Given scale drawing, the scale is 12 inch = 1 foot We have to convert the dimensions of the room…

Q: The rectangular painting in the figure shown measures 12 inches by 16 inches and is surrounded by a…

A: The rectangular painting measures 12 inches by 16 inches and is surrounded by a frame of uniform…

Q: he surface area of a hemispherical dome whose diameter is 36 ft. is to be covered with gold leaf…

A: Diameter of hemispherical dome = 36 feet                                  Radius = 362…

Q: On a sunny​ day, a tree and its shadow from the sides of a right triangle. If the hypotenuse is 35…

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Q: The area of a plane shape is given by A =(10x-2)cmthe area is greater than 12cm but not less than 2.…

A: The Answer is:          Small Area = 2 cm2

Q: Two transmission towers 40ft high is 200ft apart. If the lowest point        of the cable 10ft…

A: We will draw the diagram and then find equation of cable ,  Note : All freely suspended cable/wire…

Q: A semielliptic archway has a height of 15 feet at the center and a width of 50 feet. The 50 foot…

A: Given that the semi elliptic archway of height of 15 feet at the centre and the width of 50 feet,…

Q: If x = 14 mm. and z = 30 mm., then the TOTAL SURFACE AREA of the square based pyramid is, _mm2.

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Q: Two similar rectangles have a scale factor of . How much larger is the perimeter of the larger…

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Q: long will it take for the object to travel 70 feet?

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Q: Find the coordinates of the points that are 13 units away from the origin and have an x-coordinate…

A: Solution: Find the coordinates of the points that are 13 units away from the origin and have an…

Q: Describe how to locate the foci for x2/25 + y2/16 = 1.

A: We have to describe how to locate the foci forx225+y216=1

Q: Graph the dilated image of Quadrilateral ABCD using a scale factor of ½ and center of dilation (1,…

A: We measure the distance between center to all points and scale by 2 to get the dilation…

Q: A cuboidal box of dimension 1 m * 2m * 1.5 m is to painted except its bottom . Calculate how much…

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Q: 1.A church spire in the form of a regular hexagonal pyramid whose base edge is 8 ft and whose…

A: TO FIND: The total cost

Q: A cuboidal box of dimension 1 m * 2m * 1.5m is to be painted except its bottom .Calculate how much…

A: Given, A cuboidal box of dimension 1m×2m×1.5 m is to be painted expected its bottom  . we have to…

Q: The ends of a rope are held in place at the top of two posts, 9 m apart and each one 8 m high. If…

A: Solution : -      In the problem above, we assume that 8m is our y or the lowest point of the…

Q: arry and Gary are trying to solve for the height of the oblique regular pentagonal prism below. What…

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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: Stephen is comparing two solids. The first solid is a cone with a radius of 5 cm and a height of 9…

A: Given,         The first solid is a cone with a radius of 5 cm and a height of 9 cm.         The…

Q: What is the shape of the horizontal cross section of this solid figure?

A: The given figure is a triangular prism.

Q: The length of the base of a square pyramid is 15 inches. The slant height is 10 inches. What is the…

A: Given that  The length of the base of a square pyramid is 15 inches  The slant height is 10 inches…

Q: The volume of the ice cream cone in the diagram is 12n cubic centimeters. 9 centimeters If the…

A: we know that the volume of the cone is =1/3πr^2h .we use this formula to solve the question see 2nd…

Q: A whispering gallery has semmielliptical ceiling that is 9m and 30m.How high is the ceiling above…

A: A whispering gallery has semielliptical ceiling that is 9m high and 30m long. Since the height is…

Q: A cone-shaped block has a slant height of 6 inches and has a radius of 4 inches. What is the minimum…

A: we use formula   surface Area of cone =  πrl + πr2

Q: What kind of shape is created from the cross section seen here on the square pyramid?

A: A cross section is the shape we get when cutting straight through an object. The examples for…

Q: A company rents storage sheds shaped like rectangular prisms. Each shed is 10 feet long, 6 feet…

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Q: If x = 19 mm. and z = 38 mm., then the TOTAL SURFACE AREA of the square based pyramid is ______mm2.

A: Given: Slant height (z) = 38 mm Side of the base (x) = 19 mm To find: Total surface area of the…

Q: Tito builds a model of the solar system. In his model, the diameter of the sphere representing…

A: Circumference of the circle = 2πr

Q: A parabolic shaped radio transmitter has a diameter of 21 inches. If the signal-emitter (focus) is…

A: Given  Diameter of parabolic shaped radio transmitter = 21 inch  focus = 18 inch

Q: The cage containing exotic birds is in the shape of a hexagonal prism. If the side length is 12 ft,…

A: The answer is found in step-2

Q: A ferris wheel is elevated 1 m above ground. When a car reaches the highest point on the ferris…

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Q: In an isoscles trapezoid the length of one leg is 53 dm and the median is 63 dm, find its perimeter?

A: Given problem:- In an isosceles trapezoid the length of one leg is 53 dm and the median is 63 dm,…

Q: While admiring a rather tall tree, Fred notes that the shadow of his 6 ft frame has a length of 3…

A: Given: Fred notes that the shadow of his 6 feet frame and has a length of 3 paces On the ground…

Q: . How many times larger is the rectangular prism than the cube?

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Q: The two figures represent the dimensions of the scale drawing of an actual field and the actual…

A: Given the two figures which represent the dimension of the scale drawing of an actual field and the…

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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