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Arisa [49]
2 years ago
11

A convex polyhedron has faces that consist of 6 octagons, 8 hexagons, and 12 squares. The polyhedron has 48 vertices. How many e

dges does it have?
Euler’s formula: V + F = E + 2

24
26
72
74
Mathematics
2 answers:
Arte-miy333 [17]2 years ago
7 0
6 + 8 + 12 = 26 Faces

Edges = Vertices + Faces -2

Edges = 48 + 26 -2

Edges = 72


suter [353]2 years ago
5 0

Answer:

Option C is correct.

Step-by-step explanation:

We are given Euler's Formula,

V + F = E + 2

where V = number of vertex

           F = Number of faces

           E = Number of Edges

Convex polyhedron has 6 octagons , 8 hexagons and 12 square as faces.

⇒ Number of faces , F = 6 + 8 + 12 = 26

Number of vertices , V = 48

We have to find : Number of edges.

Using Euler's formula,

48 + 26 = E + 2

E = 74 - 2

E = 72

Therefore, Option C is correct.

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The equation for the circle would be,
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2 years ago
A has the coordinates (–4, 3) and B has the coordinates (4, 4). If DO,1/2(x, y) is a dilation of △ABC, what is true about the im
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A dilation is a transformation D_{o,k}(x,y), with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.

In a dilation of D_{o, \frac{1}{2} }(x,y), the scale factor, \frac{1}{2} is mapping the original figure to the image in such a way that the distances from O to the vertices of the image are half the distances from O to the original figure. Also the size of the image is half the size of the original figure.

Therefore, <span>If D_{o, \frac{1}{2} }(x,y) is a dilation of △ABC, the truth about the image △A'B'C'</span> are:

<span>AB is parallel to A'B'.

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The distance from A' to the origin is half the distance from A to the origin.</span>
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2 years ago
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French Co. marks up its goods 45% on cost. What is French's equivalent markup on selling price? Round to the nearest hundredth p
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<span>Let
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SP= CP + 0.45CP
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the answer is 
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2 years ago
Isaac had lots of candy. He ate the same number of pieces each day, and the amount remaining can be modeled by the equation y =
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Answer:

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4. on day 11

Step-by-step explanation:

1. self explanatory

2. self explanatory

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6 0
2 years ago
Which reaction describes a beta emission?  2659Fe→ 2759Co +  −10e  88226Ra→ 86222Rn +  24He ��94239Pu +  24He→ 96242Cm  +  01n  
shepuryov [24]

Correct question:

Which reaction describes a beta emission?  2659Fe→ 2759Co +  −10e,   88226Ra→ 86222Rn +  24He, 94239Pu +  24He→ 96242Cm  +  01n,  54118Xe→ 53118I +  +10e

Answer:

2659Fe→ 2759Co + 1e

Step-by-step explanation:

General equation for beta decay is given as;

^A_zX -> \ ^A_{z+1}Y +\  ^0_{-1} \beta

where;

A is the atomic mass of the element

z is atomic number of the element

X is the parent atom

Y is the daughter element

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In beta emission, there is loss of one electron and zero proton, the will cause the daughter element to gain on electron in order to balance the reaction.

Based on beta decay equation above, we select the reaction that describes beta emission.

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