Given a rhombicuboctahedron with 4/2 as the diagonal length of a square face, the sum of the areas of each circle inscribed in every face is T, where a and b are a relatively prime integers. Find the value of a + b.

Q: Which of these is a solid figure with flat faces, identical bases, and the same cross section all…

A: Here we have to determine the solid figure with flat faces, identical bases, and the same…

Q: For each of the following polyhedrons, determine how many vertices, edges, and faces the polyhedron…

A: (a). Regular square prism  V= 8         E=12           F=6 (b) Oblique octagonal prism V=16    E=24…

Q: AABC has an inscribed rhombus ARST. If AB = 10 and AC = 6, find the length x of each side of the…

A: We have, In △ABC, the rhombus □ARST is inscribed such that each side length is x units. Also AB=10…

Q: 1. a) Consider a regular hexagon ABCDEF as shown. Prove that AB + AC + AD + AE + AF = 3AD F B E D b)…

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Q: When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller…

A: Characteristics of a rhombus All sides are equal.   (i) Diagonals bisect each other at right…

Q: The total height of the triangle of the circular cone is 1.50m, find the HS and the r of the…

A: Concept: The similarity of triangles: The triangles of the same shape but need not be of the same…

Q: Show that for a hexagonal geometry, the co-channel reuse ratio, q, is given by the equation レニBN…

A: N = no of cells in the cluster I..e cluster size

Q: The figure below shows an isosceles triangle PQR, where |PQ|=|PR| and a rectangle ABCD drawn inside…

A: The formula to calculate the area of a rectangle is A=l·w, where l and w are the length and width of…

Q: In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height…

A: Find the length (in inches) of the altitude of the pyramid.

Q: Find the base a of an isosceles triangle with the legs b such that the inscribed circle has the…

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Q: The diagonals of square MNOPMNOP intersect at Z.Z.  If MZ=2x+6MZ=2x+6 and NP=6x-10,NP=6x−10, find…

A: Geometry question

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

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Q: Show that if there is an Archimedean solid that has faces that are regular pentagons and equilateral…

A: Truncated tetrahedron: In geometry, An Archimedean solid is one of the 13 solids first enumerated by…

Q: In trapezoid ABCD, AB||CD. If mZA= x + 7 and mZD= 2x-1 , find mZD. A B. (Not drawn to scale) Answer:…

A: Given that in a trapezoid AB is parallel to CD and the adjacent sides m∠A=x+7 and m∠D=2x-1. We need…

Q: Find the length of h, the height drawn to the hypotenuse, of the right AABC with right angle at C if…

A: We can find the answer as below.

Q: A trapezoid ABCD with bases AB and CD  has a circumscribed circle k. Its diagonals are perpendicular…

A: 1) Since diagonals of trapezoid are perpendiculer to each other      hence they bisect each other at…

Q: In right AABC with right ZC, AB = 17 and BC = 15. Find the length of MN if M and N are the midpoints…

A: Given a right angle triangle ∆ABC , AB=17 and BC=15 to find the length MN.

Q: is the center of the regular octagon below. Find its perimeter. Round to the nearest nth if…

A: Please refer to the image below

Q: ASK YOUR TEAC Use the following theorem to answer the question. In a regular pyramid, the lengths of…

A: In a regular pyramid, the lengths of the opothem 'a' of the base, the altitude 'h', and the slant…

Q: 29. In right AABC with right 2C, AB = 17 and BC = Find the length of MN if M and N are the midpoints…

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Q: . Heron also derived the following formula for the area of an inscribed quadrilateral with sides a,…

A: Sides of a isosceles trapezoid are a=10, b=10, c=10 & d=20. Now semi perimeter is,…

Q: 12. Solve for x. (6x - 21)° T S

A: To find x

Q: where ABC is an isosceles triangle in which AB = AC. P is any point in the interior of AABC such…

A: Given:    AB = AC   <ABP = <ACP

Q: Given the following tetrahedron, list all its outward faces 3 2

A: We can find the outward faces as below.

Q: For a regular hexahedron, find the number of faces, vertices, and edges in the polyhedron. Then…

A: Given: regular hexahedron To find :  Number of faces,…

Q: The length of the radius of the inscribed circle of a regular n-gon is called the apothem of the…

A: Let A denote the area of a regular n-gon and P be the perimeter of a regular n-gon. The regular…

Q: This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is…

A: Here l = x         b = x         h = x-1 The volume of a cuboid is the product of its length,…

Q: Find the area of the parallelogram that has u = 2i – 2j + k and j+ 3k as adjacent sides. - NOTE:…

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Q: For a regular tetrahedron, find the number of faces, vertices, and edges in the polyhedron. Then…

A: Given- A regular tetrahedron. To find- The number of faces , vertices and edges and then verify the…

Q: 1. Sketch an example of a convex heptagon and an example of a concave heptagon.

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

Q: The area of a regular polygon with apothem a and perimeter p is given by the formula A = ap. %3D O…

A: a denote the length of an apothem  p denotes the perimeter

Q: Which of the figures below is not a polyhedron?

A: Here first,second and fourth option are polyhedron.

Q: For a regular hexahedron, find the number of faces, vertices, and edges in the polyhedron. Then…

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Q: In triangle ABC, line t is drawn through vertex A in such a way that t BC. a) Which pairs of Zs are…

A: Given data:     The first given condition is: AB ∥ DE. The given measure of the first angle is:…

Q: In the accompanying diagram, AABC is not isosceles. Prove that if altitude BD were drawn, it would…

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Q: The area of a rhombus is 215 sq. in. and one diagonal is 18 in. Find the other diagonal.

A: Refer to the question we need to find the length of diagonal if one of the diagonal's length is 18…

Q: Given: The figure above is a regular polygon. B. x= (16x + 23)

A: The explanation of the solution as follows:

Q: For each of the following, use Euler's Formula to find the missing value for each polyhedron. A) 4…

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Q: Consider regular octagon RSTUVWXY, with each side of length 18, and the length of diagonal RU.…

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Q: If the vertices of a polygon in counterclockwise order, are ( x1, y1 ) , ( x2, y2 ) , ... , ( xn, yn…

A: Here we use the formula for find the area of the triangle

Q: A square with sides of length 2 in. rests (as shown) on a square with sides of length 6 in. Find the…

A: Given that - AE = EF = FG = AG = 2 inAnd,AH = HC = CD = AD = 6 inWe see that,∠AEB and ∠DEC both are…

Q: For compactness, the drop-down wheels of a stretcher (or gurney) are folded under it as shown. In…

A: Solution: Consider the given figure of the stretcher and their folded drop-down wheels According to…

Q: A hexagon with all sides equal to one another and all angles equal to one another can make a regular…

A: To check whether we can make regular tessellation or not?

Q: For any quadrilateral with perpendicular diagonals of lengths d1 and d2, the area is given by A =…

A: We have to choose correct option

Q: For the polyhedron, use Euler's Formula to find the missing number. faces: 8 edges: vertices: 6

A: Euler's formula is: F+V=E+2

Q: Suppose two hexagons together represent the “whole”, or 1 What fraction does each of the following…

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Q: 3. If a line through the vertex A of an equilateral triangle ABC meets BC in F and the circumcircle…

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Q: Proof must be a paragraph proof   Thanks

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Q: 29. Find a formula for the area of the triangle whose vertices a 0, V1 , and v2 in R².

A: Given that  Vertices of the triangle is 0,v1,V2  To find the area of the triangle

Q: Find the Euler's theorem to find the number of vertices in each polyhedron .6 faces that are all…

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