Find the lengths of the apothem and the radius of a square whose sides have length 10 in.

Q: Find the area of a regular pentagon with an apothem of 3.45 in. and a side of 5 in.

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Q: find the length of the mid segment or base indicated for the given trapezoid.

A: We know that, length of mid segment of a trapezoid is always equal to half the sum of lengths of…

Q: The height of a 818 ft³ storage bin in the form of a frustum of a rectangular pyramid is 6 ft. What…

A: Here given  The height of a 818 ft³ storage bin in the form of a frustum of a rectangular pyramid is…

Q: If the volume of the square pyramid below is 384 and the sides (x) of the square base are each 14,…

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Q: On a certain youth league baseball diamond,the bases are 35ft apart.Assuming that homeplate and the…

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

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Q: In a regular square pyramid whose base edges measure 8 in., the apothem of the base measures 4 in.…

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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: the diagonals of a rectangle ore 48 centimecters long Ond intersect at an ongle of 32°. What Is the…

A: The graphical representation of the given data is shown as the following. So, as per the question,…

Q: A rectangular parallelipiped is of dimensions 5cm x 2cm x 5cm. How many such rectangular…

A: This question is based on LCM (least common multiple).

Q: Find the length of each apothem in a regular pentagon whose radii measure 10 in. each.

A: Apothem of a polygon is a line segment from the centre of a regular polygon to the midpoint of any…

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: The apothem length of a regular pentagon is approximately 3.44 cm. What is the approximate length of…

A: For a regular polygon with n sides, with side length s, length of apothem is given by a=s2 tan πn.…

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: Find the total area of a pyramid whose base is a regular octagon with a given edge of 8 inches and…

A: The surface area of the octagonal pyramid is given as:

Q: If the radius of a circle is 9 in., find the radius of a circle whose area is 6 times as large.

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Q: Given a hexagon with side length of 35, find the apothem. Round to the nearest hundredth if…

A: Explained below...

Q: Find the largest trapezoid that can be inscribed in a circle with a radius of 5 cm so that its base…

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Q: A trapezoid has area 54 and height 6. How long is its median?

A: Given: Area of trapezoid =54 Height of trapezoid =6

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

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Q: 2.) Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long.…

A: We can find the area as below.

Q: Given step by step instructions and the final answer on how to find the volume of a right square…

A: It is given that,  slant height of a right square pyramid is 5 in and length of base is 4 in.   The…

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…

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Q: Find the area of a regular hexagon, whose apothem has length 9 inches.

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Q: Find the lengths of the apothem and the radius of a hexagon whose sides have length 6 cm. regular

A: Given, Polygon is a regular hexagon, The length of the side of the polygon is 6 cm.

Q: The corresponding sides of two regular pentagons are 2 in. and 7 in. What is the ratio of their…

A: Given that the corresponding sides of two regular pentagons are 2 in. and 7 in.

Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

Q: The area of an equilateral triangle is 108 V3 in². If the length of each side of the triangle is…

A: Given the area of an equilateral triangle (A)=1083 inches and side lengthof the triangle (s)=123…

Q: Find that length of canvas % meters wide is required to make a conical tent 8 meters in diameter and…

A: Canvas will be on the curved surface area of the tent.   The curved surface area of the conical tent…

Q: When the radius of a sphere is doubled, the volume of the new sphere is as large as the volume of…

A: The new radius is 2r now, So, the new volume will be: V=43π(2r)3=43π(8r3)=843πr3=8(old volume)

Q: If there are 1, cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

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

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Q: Given a square pyramid with a height of 24 ft and a volume of 4,512 cubic feet, find the length of…

A: Volume of square pyramid = 13a2h, where a = side length of square base h = height of the pyramid…

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: Find the area of the base of a regular square pyramid whose lateral faces are equilateral triangles…

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Q: The perimeters of two regular hexagons are 30 in. and 72 in. What is the ratio of their apothems? Of…

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Q: 1. Find the total area of the frustum of a cone whose slant height is 2.6 meters and the radii of…

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Q: A regular hexagonal pyramid has a slant height of 4 cm and the length of each side of the base is 6…

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Q: Find the length of each edge in feet if the total area (surface area) of a regular octahedron is…

A: Regular octahedron has six equilateral equivalent triangular faces. therefore surface area of a…

Q: 3.) Find the surface area and volume of a square pyramid with side lengths of 24 inches, and a slant…

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Q: Given a square with a side length of 10 inches, find the apothem.

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Q: Find the lengths of the side and the radius of a regular hexagon whose apothem has the length 10 m.

A: Consider the given information as Lengths of the side and the radius of a regular hexagon whose…

Q: The section is about polyhedrons and spheres The chapter is on surfaces and solids   Thanks!

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Q: Given a hexagon with side length of 29, find the apothem. Round to the nearest hundredth if…

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Q: If the volume of the square pyramid below is 990 and the sides (x) of the square base are each 16,…

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Q: The radius of a square is 2 in. Find the perimeter, apothem, and area of the square.

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Q: The apothem of a regular hexagon is 5/3 in. What is the length of its sides? What is its area?…

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Q: What is the surface area of a regular hexagonal pyramid with base side length of 6 cm, apothem of…

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Q: Assuming that the (square) base of this building has a side length of 646 feet and that the pyramid…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…