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klio [65]
2 years ago
12

A gem cutter cuts a polyhedral crystal from a garnet gemstone. The crystal has 10 fewer vertices than edges and twice as many ed

ges as faces. How many faces, vertices, and edges does the crystal have?
Mathematics
1 answer:
Vikki [24]2 years ago
3 0

Answer:

vertices (V) = 6, faces (F) = 12 and edges (E) = 16

Step-by-step explanation:

A polyhedron is a three-dimensional shape with straight edges and flat faces and sharp corners.The point where the faces of a polyhedron meet each other is known as the edge while the corners of the polyhedron is known as the vertices.

Euler formula gives the relationship between the number of vertices (V), faces (F) and edges (E) of a polyhedron. This formula is given as:

F + V - E = 2.

Given that:

E - V = 10, Therefore E = V + 10

F = 2 × V = 2V

Substituting into the Euler formula:

2V + V - (V + 10) = 2

2V + V - 10 - V = 2

2V = 12

V = 12/2 = 6

Therefore, E = V + 10 = 6 + 10 = 16

F = 2V = 2 × 6 = 12

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x = \frac{70}{0.35}

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Profit = 0.15 * 200 = 30

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2 years ago
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2 years ago
A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or w
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The correct answer is B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal.

Explanation:

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3 0
2 years ago
Lesson 3 homework practice mean absolute deviation
Natali5045456 [20]
Assuming that am supposed to calculate the the mean absolute deviation of 
1,2,3,4,5,6,7
mean absolute deviation is calculated by first calculating the mean;
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Then we find the mean of the values,
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2 years ago
Mindy and Daisy are making necklaces using beads. Mindy uses 4 red beads for every 5 white beads. Daisy uses 6 red beads for eve
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Answer:

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Daisy:

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2 years ago
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