An arch is in the form of a semiellipse is 52 feet wide at the base and has a height of 20 feet. How wide is the arch at a height of 12 feet above the base?

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

A:

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Surface area of cylinder=2πr2+2πrl

Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the area of the…

A: Geometrical  pyramid  Area is   150 square meter

Q: A cone has a surface area of 200n square inches. If the radius of the cone is 10 inches, find the…

A: Given that Surface area and radius of base of cone are

Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from the base…

A: Given that a flashlight shaped like parabloid  has its light source at the focus located 1.5cm from…

Q: A tunnel has the shape of a semiellipse that is 15 ft high at the center, and 36 ft across at the…

A:

Q: Find the volume of the square right pyramid below with a base edge of 40 feet and a slant height of…

A:

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

A:

Q: The arch of St. Louis is in the form of a parabola with base width( foundation to foundation…

A: The arch of St. Louis is in the form of a parabola with base width (foundation to foundation…

Q: The area of the whole surface of a cone is 64 sq. m. and the slant height is 5 times the radius of…

A:

Q: The main tank has a radius of 95 feet. What is the volume of the quarter-sphere sized tank rounded…

A: From given, we have, The radius of spherical shape tank = 95feet.

Q: and

A:

Q: a right prism has a regular pentagon of side 5cm as its base with an altitude of 20cm. find the area…

A:

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

A: This is a problem of the maxima and minima concepts. For admitting most light into the window its…

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

A: The solution is given below:

Q: A water trough has a semicircular cross section with a radius of 0.25 m and a length of 3 m (as…

A: Given A water trough has a semicircular cross section with a radius of 0.25 m and a length of 3 m.

Q: A spherical ball with a radius of 10 cm is full of water. If the water from the spherical ball is…

A:

Q: The Great Pyramid of Giza has a square base which measures 230 m on each side. The slant height of…

A: The square pyramid consist of a square base and 4 side triangles. But only the triangles are…

Q: A truck has to pass under an overhead parabolic arch bridge 20 meters and is 16 meters high. If the…

A:

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: A right cone has a base diameter of 8 in. and a volume of 259 cubic inches. Determine the slant…

A: Given the diameter and volume of a right cone. We need to find the slant height.

Q: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: Given that, each side of octagonal floor is 10 ft, length of the apothem is 12 ft and the lateral…

Q: A semi elliptical archway over a one-way road has a height of 10ft and a width of 40ft. Your truck…

A: Given: Height of semi elliptical archway = 10 ft Width of semi elliptical archway = 40 ft Width of…

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

A: A parabolic surface is generally used to capture energy, like light, signals etc.  For such…

Q: A regular square pyramid has a height of 8m. If the slant height makes an angle at 45 degrees with…

A:

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

A:

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

A: Solution )

Q: The sum of the radii of the bases of a frustum of a cone is 7 cm. If it has an altitude of 6 cm and…

A:

Q: A 3​-ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the…

A: Circles

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 parabolic goblet with a cup that is as wide as it is tall holds 1.74r^3 oz of water when it is…

A: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r3 oz of water when it is…

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: A painter leans a 15 ft ladder against a house. The base of the ladder is 5 ft from the house. To…

A:

Q: A triangle window has an area of 600in². The base of the window is three times its height. What is…

A:

Q: Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round…

A:

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 gabled roof is to be built on a house that is 30 feet wide so that the roof rises at a pitch of…

A: Given :     A gabled roof is to be built on a house that is 30 feet wide so that the roof rises…

Q: What is the cross section perpendicular to the base of a cone?

A: To find the cross section perpendicular to the base of a cone

Q: A road under the parabolic arch is 39 ft wide, and the maximum height of the arch is 17.4 ft. How…

A:

Q: A billboard at ground level has a support length of 26 feet that extends from the top of the…

A: Consider the given triangle:

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: Three sides of a trapezoid are 8 inches in length. How long must the fourth side be, so that the…

A: Given: Three sides of a trapezoid are 8 inches in length. Let the fourth side of trapezoid be 8+2x…

Q: The covering on a teepee rests on poles that come together at one point at the top. The resulting…

A: In the above question we have to find how much fabric is required for the covering of teepee which…

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 11 foot ladder is placed against a vertical wall of a building. with the buttom of the ladder…

A:

Q: Suppose you filla conical paper cup with a height of 6" with water. If all the water is then poured…

A: Given, height of cone= 6 inches

Q: The 6-ft wall shown here stands 22 ft from the building. Find the length of the shortest straight…

A: L(x)=x2+361+22x To find the shortest length we take derivative and set it =0…

Q: Consider a right triangle whose hypotenuse has a length of 53 in. If one leg is 17 in longer than…

A: Given: Length of 53 in One leg is 17 in