33.) Use Euler's Formula to find the number of vertices in the polyhedron with 10 faces, 8 rectangles, and 2 octagons.

Q: 4. The sides of a triangular lot are 130 m, 180 m, and 190 m. The lot is to be divided by a line…

A: Cosine law

Q: 5. How many rectangles would the net of a pentagonal pyramid have?

A: The net of a pentagonal pyramid consists of two pentagons and five rectangles .

Q: 27. Find the area of the parallelogram with vertices A (-3, 0), B (-1, 3), C (5, 2), and D (3, –1).

A:

Q: A polyhedron has 6 faces and 7 vertices. How many edges does it have?

A: Polyhedron is a three dimensional solid structure formed by joining polygons. Let F be the number of…

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

A: there are given faces, vertices and edges. we have to find which polyhedron exists. we know the…

Q: 22. Which regular polyhedron has 12 petagonal faces? a. dodecahedron b. tetrahedron icosahedron d…

A: Dodecahedron

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

A:

Q: An artist joined three square regions at their vertices to create the figure shown in the diagram.…

A: Given

Q: Using diagonals from a common vertex, how many triangles could be formed from an 18-gon?

A: Using diagonals from a common vertex, how many triangles could be formed from an 18-gon?

Q: 8. Use Euler's Formula to find the number of vertices in the polyhedron with 8 to sens faces, 6…

A: ANSWER 8: 2 hexagons + 6 rectangles = 8 faces As we know that,  2 hexagons have 12 edges (6*2=12)…

Q: A polyhedron has 6 edges and 4 vertices. How many faces does it have ?

A: By Euler formula  F+V = E +2  F = Number of Faces  V = Number of vertices E= Number of Edges

Q: Find the edge length of the cube. Volume 216 in.3 %3D

A: Solution: The objective is to find the edge length of the cube

Q: Consider the two rows of points on the grid below. Count the number of triangles that can be formed…

A: The two rows grid is given as: In both rows, there are 8 points in each. Therefore there are total…

Q: A polyhedron has 9 faces and 21 edges. How many vertices does it have ?

A: A polyhedron has 9 faces and 21 edges. F=9 and E=21. The objective is to find the number of vertices…

Q: 1. 'Find the diagonal of a right rectangular prism with length 2x, width 4x, and height 6x.…

A: Given,

Q: 5. Find the length of the shorter diagonal in a rhombus with an area of 30 m² if the lengths of the…

A: Given: Area =30m2 length of diagonal differ by 4

Q: A circle has an area of 144 cm^2 is cut into two segments by a chord that is 9 cm from the center of…

A: Given: The area of the circle is 144π cm2 here you doing typing mistake , area should be 144π if…

Q: What is the general formula for the number of edges of a hypercube in N dimensions

A: So, the total number of edges of N-dimensional hypercube is N(2N-1)

Q: In an artistic design by a contractor of the students’ centre in a university, four pillars were…

A: Given: In an artistic design, four pillars were erected to form two triangular figures with the…

Q: A polyhedron (not regular) has 14 vertices and 21 edges. How many faces must it have?

A: Given that a polyhedron has 14 vertices and 21 edges. We need to find how many faces does the…

Q: Find the area of the polygon with the given vertices. N(- 2, 1), P(3, 1), Q(3, – 1), R( – 2, - 1)

A: Given points are: N(-2,1), P(3,1), Q(3,-1) and R(-2,-1). The objective is to find the area of a…

Q: 9. A polyhedron (not regular) has 14 vertices and 21 edges. How many faces must it have?

A:

Q: In the figure, there are infinitely many circles approaching the vertices of an equilateral…

A: Introduction: An equilateral triangle is a triangle which has sides of equal lengths. If we draw a…

Q: 4 - Find the volume of a parallelepiped if four of its eight vertices are A(0, 0, 0), B(1, 2, 0),…

A: The given vertices are: A = (0, 0, 0) B = (1, 2, 0) C = (0, -3, 2) D = (3, -4, 5)

Q: 3. Find the perimeter and area of a solar panel in the shape of kite with dimensions given in the…

A: Given A solar panel in the shape of kite with dimensions .

Q: A rectangular box has a square base of side 'x' cm and height h cm and has no top as shown in the…

A:

Q: A cube is a polyhedron that has 3 square faces meeting at each vertex. What would happen if you…

A: if you had 4 square faces meeting at the same spot, you would be working in 2 demensions, because…

Q: A company makes unusually shaped imitation gemstones which are polyhedrons. One gemstone had 10…

A: Given that a company makes unusually shaped imitation gemstones. One gemstone had 10 faces and 12…

Q: A polyhedron (not regular) has 10 vertices and 6 faces. How many edges does it have? edges

A:

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

A: We solve the question by using Euler's formula F + V - E=  2, where F is the number of faces, V the…

Q: How many polygons can be possibly formed from 5 distinct points on a plane, no three of which are…

A:

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

A:

Q: In the figure below, the shape is completed by combining a regular hexagon and a square with its…

A:

Q: In the figure there are infinitely many circles approaching the vertices of an equilateral triangle,…

A:

Q: Indicate which polyhedron is obtained by truncating the edges of a dodecahedron in half and…

A:

Q: If a polygon of n sides has 1/2n(n - 3) diagonals, how many sides will a polygon with 65 diagonals…

A: The number of diagonals of polygon with n sides is given by nn-32.   Consider that a polygon has 65…

Q: Use Euler's Formula to find the number of vertices in the given polyhedron. 5 faces: 1 rectangle and…

A: Euler's formula  V-E+F=2 Where   is the number of vertices, E is the number of edges, F is the…

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: Find the number of sides of a convex polygon if the measures of its interior angles have a sum of…

A:

Q: Suppose that each of the bases of the hexagonal prism below has an area of 17 cm2 and that the…

A: Given :Area of the each of the base of the prism , A=17 cm2Altitude h=10 cm   Aim:  To find the…

Q: How many vertices does a hexahedron have ?

A: A hexahedron, as the name suggests, is a six faced polyhedron. A cube is an example of a hexahedron

Q: The area of a triangle with vertices ( — 2, 0), (9, 0), and (3. 6) is____?

A: Given: Vertices of triangle are ( — 2, 0), (9, 0), and (3, 6)  To determine: Area of a triangle.

Q: Use Euler's Formula to find the number of vertices in the given polyhedron. 8 faces: 2 hexagons and…

A:

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: Find (a) the number of diagonals for any pentagon (b) the type of polygon that has 9 diagonals.

A:

Q: Define a polyhedron with 20 faces ?

A: We have to define a polyhedron with 20 faces.

Q: Is there a regular polygon with 7 diagonals? Yes No If so, how many sides does it have? (If such a…

A:

Q: The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern named because 1=1•1•1 or 1^3 8=2•2•2 or…

A:

Q: Find the area of the polygon with vertices P(-5, 4), Q(2, 4), and S(1, –1). 61 -6 -5-4-3 -31 -4 -5…

A:

Q: Explain how many vertices, edges, and faces the polyhedron have. Does it verify Euler's Formula?

A: