In regular octago, the approximate ratio of the length of an apothem for the length of a side is 6:5. For a regular octagon with a side of a length 15ft, find the approximate area

Q: In a circle with the radius 2 cm, on its chord 2 sqrt(2) cm long taken as a diameter, constructed is…

A: Given that In a circle with the radius 2 cm, on its chord 2 sqrt(2) cm long taken as a…

Q: An equilateral triangle has an area of 18v3 in². A regular hexagon has side lengths equal to that of…

A: Solution ) area of equilateral triangle = √3 a2/ 4 18 √3 = √3 a2/ 4 18 = a2/4 18×4 = a2 72 = a2 a =…

Q: If in the frustum of a cone the diameter of the upper base equals the slant height, find the lateral…

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Q: a sphere inscirbed in a right circular cone whose slant height has a length equal to the diameter of…

A:

Q: A gazebo is built in the shape of a regular octagon. Each side is 8ft long and the enclosed area is…

A: Given,          A gazebo is built in the shape of regular octagon . Each side is 8 ft long…

Q: Find the volume of a regular square pyramid shown if each edge of the base measures 8ft. and the…

A: Volume = 1/3 * B * H B= area of the Base H= height ( altitude ) of the pyramid Given : b= 8 ft and…

Q: Find the volume of a pyra base is 18.2 in and the he to the nearest tenth of a c Answer:

A: Volume of a square pyramid=1/3b2h

Q: A gutter having trapezoidal cross-section is to be made by bending a strip of tin 1 meter wide. If…

A: Given that the trapezium is to be made by bending a strip of tin 1m=100cm wide. If the width of the…

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 8 in. and that…

A: Given  base edge = 8 in apothem = 5.5 in  height = 10 in

Q: In the regular pentagonal pyramid, each base edge measures 9.2 cm and the apothem of the base…

A:

Q: Find the area of a square with a) sides of length 3.5 cm each. b) an apothem of length 4.7 in.

A: To obtain the area of the square, substitute 3.5 for a in the formula A=a2, and simplify.…

Q: What is the approximate area of a regular pentagon with apothem length 6.3 cm and each base edge…

A:

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height   i.e. ,                     = A×2       (Let A…

Q: Three pipes, each of radius 4 in, are stacked as shown. What is the height of the stack?

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Q: Find the area of a regular pentagon with an apothem length of 6cm please show work as well

A:

Q: Given the mass of a material to be 100 grams and a density of 4g/cc, compute the sphericity if the…

A: Using spericity formula

Q: A wooden article was made by scooping out a hemisphere from each end of a solid cylinder as shown in…

A:

Q: For a regular square pyramid, the slant height of each lateral face has a measure equal to that of…

A:

Q: In the accompanying regular pentagonal prism, suppose that each base edge measures 9 in. and that…

A: Given,  Length of base edge (b) = 9 in Altitude of prism (h) = 10 in Apothem of the base = 6.2 in

Q: Find the volume of this rectangular pyramid. Be sure to include the correct unit in your answer. If…

A: Explanation and solutions is given below....

Q: In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism.…

A: The amount of dirt removed is equal to the volume of hole. The hole is in the form of a right…

Q: For an aluminum can, the lateral surface area is 127 in?. If the length of the altitude is 1 in.…

A: Here, the aluminium can is in cylindrical shape.Let,Height of the can = hRadius of the can = rGiven…

Q: Find the area of a square with the sides of length 3.5 cm each and with an apothem of length 4.7 in.

A: We have to find area of two square.

Q: A regular pentagon has an apothem of length 4.0 in. and each side is of length 5.8 in. For the…

A: Given

Q: What is the area of a regular octagon with an apothem of 20.8 cm and a side length of 17.2 cm? O…

A: Solved given problem follow step below.

Q: The radii of parallel circular sections of a sphere are 4 in and 4.8 in, while the radius of the…

A: Here we are given ,    r1 = 4    , r2=4.8   and R =5To find h:  O: Centre of sphere⊙ AO  = OD =…

Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…

A:

Q: What is the surface area of a regular pentagonal pyramid with base side length of 8 cm, apothem of…

A:

Q: The exact volume of a right circular cone (not shown) is 32 in³. If the length of the base radius is…

A: V=13π r2hr is the radiush is the altitude

Q: hree pipes, each of radius length 4 in., are stacked as shown. What is the height of the stack?

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Q: Find the area of a regular polygon if one of its sides measures 8 in. and one of its interior angles…

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Q: For a regular square pyramid, suppose that the altitude has a measure equal to that of each edge of…

A: Given- A regular square pyramid, it has altitude equal to that of each edge of the base and its…

Q: 25. What is the approximate area of a regular pentagon with apothem length 6.3 cm and each base edge…

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Q: Given a sphere with a diameter of 10 cm, find its volume to the nearest whole number.

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Q: Find the length of the radius in a regular decagon for which each apothem has a length of 12.5 cm.

A: Given that, the length of apothem in a regular decagon is 12.5 cm. Now, since the regular decagon…

Q: calculate the apothem, area of the base, and surface area of a hexagonal prism with a side length of…

A: Regular Hexagonal prism has length of edge a=4 cm and height h=12 cm (1) Base area : AB=33a22…

Q: A cube has a volume of 512 in3. Wht is the length of each side of the cube?

A:

Q: for a regular square pyramid, the slant height of lateral face has a measure equal to that of each…

A: The given pyramid is square  Let the edge of square base = x Slant height l = x Lateral area A = 200…

Q: 24.) To the nearest whole number, what is the surface area of a square pyramid with each side of the…

A: The base is a square with sides 30 yards  So area of the base= 30*30 = 900 square yards

Q: For the regular pentagonal base, each edge measures 3.2 cm and the apothem measures 2 cm. a) Find…

A: a) Find the area of the regular pentagonal base.

Q: in a frustum of a right circular cone, the diameter of the lower base is 24 ft, while the diameter…

A: Radius of the upper and lower base of frustum is 242=12 ft and 142=7 ft respectively.

Q: if the slant height of the frustum is 13 ft, find the total area of the frustum. A. 1,382 sq.ft B.…

A: The diameter of the lower base is d1=24ft.  The diameter of the upper base is d2=14ft. The relation…

Q: Find the area of a regular pentagon with an apothem of 1.6 in and a side length of 2.4 in.

A: A regular pentagon with an apothem of 1.6 in and a side length of 2.4 in.

Q: find the volume and the surface area of a square pyramid with a slant height of 5.22ft, hight of 5ft…

A: Given square pyramid with a slant height of 5.22ft, hight of 5ft and sides of 3ft

Q: A regular octagon has an apothem of approximately 4.2 cm and a perimeter of approximately 28.0 cm.…

A: Area of regular octagon in terms of apothem and perimeter is given as Area=12×apothem×perimeter

Q: A regular pentagon has an apothem of length 4.0 in. and each side is of length 5.8 in. For the…

A: Given: Length of apothem of  regular pentagon is 4.0 in. and length of each side is 5.8 in. To find:…

Q: The exact volume of a right circular cone (not shown) is 32n in'. If the length of the base radius…

A: Given: volumev of right circular cone is 32π in3 We know that volumev of right circular cone is…

Q: The bases of a right prism is a hexagon with one of each side equal to 8 cm. The bases are 15 cm…

A:

Q: Three pipes, each of radius length 4 in., are stacked as shown. What is the exact height of the…

A: Consider the given figure as

Q: What is the area of the fiqure below? given that each side of the regular hexagon has length 43.8cm…

A: Solution ) area of the regular hexagon with apothem A  = 1/2 × a × p       [   a = apothem…