In a regular polygon, the apothem measures 3 in. Each side of the same regular polygon measures 6 in. a) Find the perimeter of the regular polygon. b) Find the length of radius for this polygon.

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: Find the area of a regular pentagon with an apothem of 5 inches. Round to the nearest tenth

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Q: 4. Find the volume of a three-sided pyramid with height h and base an equilateral triangle with side…

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

A: A regular square pyramid is shown below. From above figure, the dimension of edge of base is x. The…

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

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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: A regular polygon has 7 sides, each measuring 12.5 m. If a circle is inscribed in the polygon,…

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Q: Find the surface area of a square pyramid with side length 2 mi and slant height 2 mi. mi 2 mi 2 mi

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Q: 11. The apothem and the height of a regular four-cornered pyramid are 8 cm and 4 cm respectively.…

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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

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Q: What is the area of a regular hexagon with an apothem of 2.6 cm and a side length of 3 cm? O 23.4…

A: Given  Apothem of regular hexagon = 2.6cm side length = 3 cm

Q: Given a square pyramid with the base edge of 10 m. and slant height of 6 m. Find the measure of the…

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Q: The area of the regular hexagon is 10.4 in.2. What is the measure of the apothem, rounded to the…

A: Directly use the formula for the area of hexagon.

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: The lateral area of the square pyramid is given by the formula, A=12×l×P where l is the slant height…

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: 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: What is the surface area of a regular hexagonal pyramid with base side length of 6cm, apothem of 5.2…

A: Surface area of a hexagonal pyramid = 3ab+3bs a is apothem length.b is base length.s is slant…

Q: If the volume of a square-based pyramid is 96 m with a base length of 12 m, then what is its height?…

A: Solve the following

Q: In a regular pentagonal pyramid, each base edge measures 7 cm, and the apothem of the base measures…

A: Given Data: The base length of the pentagonal pyramid is: a=7 cm. The length of the apothem of the…

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

A: Consider the figure with three circle of radius r=4 in. stacked together. Find the height of the…

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: Find the surface area of a square pyramid with side length 5 in and slant height 5 in. 5 ih 5 in 5…

A: Given data is: Side length a=5 in Slant height l=5 in To find the surface area of square pyramid.

Q: What is the surface area of a square pyramid with base side length of 22 cm and slant height of 8…

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Q: In a regular polygon, each central angle measures 45°. a) How many sides does the regular polygon…

A: For a regular polygon:                          Measure of each central angle= 45°   a) Sides does…

Q: In the regular pentagonal pyramid, each lateral edge measures 8 in., and each base edge measures 6…

A: Area of a pentagon is: Area=52×Apothem×Base side Area of a triangle using Heron's formula:…

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: A regular hexagon has sides measuring 7 units and an apothem that measures 6 units. In square units,…

A: We have to find area

Q: A regular polygon has a perimeter of 200cm and each of its inte s apothem, its area, and the total…

A: Introduction: The formula of a regular octagon is given by, A=21+2a2 Where a is the side length of…

Q: Find the surface area of a square pyramid with side length 5 mi and slant height 4 mi. 5 mi 5 mi

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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: What is the area of a regular pentagon with an apothem of 4.9 cm and a side length of 7.1 cm? O…

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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: Each interior angle of a regular polygon has a measure of 162°. The polygon has a total of how many…

A: Using formula

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: 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: In the accompanying regular pentagonal prism, suppose that each base edge measures 6 in. and that…

A: a) Obtain the lateral area of the given prism as follows. Lateral Area,…

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: Find the surface area of a square pyramid with side length 2 in and slant height 5 in. 5 in 2 in 2…

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Q: Consider the accompanying figure. When the four congru- ent isosceles triangles are folded upward, a…

A: The given figure:

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given The church steeple in the shape of a  regular square pyramid ,the each lateral edge measure 15…

Q: 25 in. 24 in

A: Given the dimensions of pentagonal pyramid

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: 25 in. 24 in. 15 in.

A: Formula of Lateral area, AL=12×PB×HS For pentagonal pyramid, PB=5a HS=h2+1205+25a2

Q: Find the volume of this rectangular pyramid. Be sure to include the correct unit in yo If necessary,…

A: Answer and explanation is given below..

Q: Find the surface area of a square pyramid with side length 2 mi and slant height 4 mi. 4 mi 2 mi 2…

A: The surface area of the square pyramid can be calculated by using formula, S.A=a2+2al , where  a  is…