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Norma-Jean [14]
3 years ago
12

A convex polyhedron has faces that consist of 30 squares, 20 hexagons, and 12 octagons. The polyhedron has 120 vertices. How man

y edges does it have? Euler’s formula: V + F = E + 2
Mathematics
2 answers:
Pie3 years ago
5 0

Answer:

180 is correct

Step-by-step explanation:

saw5 [17]3 years ago
4 0

Add the total faces: 30 + 20 + 12 = 62

Using the given equation: V + F = E +2

You have F = 62, V = 120

Now solve for E:

120 + 62 = E +2

Simplify:

182 = E +2

Subtract 2 from both sides:

E = 182 - 2

E = 180

It has 180 edges.

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How many endpoints are needed to draw four line segments
Paladinen [302]
If these four line segments are connected (kind of like a square) then only 4 endpoints are needed, but if they are all separate line segments, then you would need a maximum of 8 endpoints because any line segment has 2 endpoints and 4 line segments with 2 endpoints a piece equals 8 endpoints in total. 

I hope this helped! :)
5 0
3 years ago
Who wants to help i really dont wanna do this question
SOVA2 [1]

Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

5 0
2 years ago
Draw a diagram of the archway modeled by the equation y = -x2 + 5x + 24. Find and label the y-intercept and the
Delvig [45]

Answer:

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

Step-by-step explanation:

The graph that represents the equation y = -x^{2} + 5\cdot x + 24 is now sketched with the help of a graphing tool and whose representation is included in a file attached below. The point associated with x-intercepts are (-3, 0) and (8, 0) and the point associated with the highest point is (2.5, 30.25). The width of the archway at its base (\Delta x) and the height of the archway at its highest point (\Delta y) are, respectively:

\Delta x = 8 - (-3)

\Delta x = 11

\Delta y = 30.25

Width of the archway at its base: 11 units, height of the archway at its highest point: 30.25 units.

7 0
3 years ago
7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best m
Zepler [3.9K]

Answer:

I don't the answer but the next person will answer this right.

8 0
3 years ago
Are the fractions 1/5 , 5/5 , and 5/1 equivalent?Explain.
NeX [460]
<span><u><em>Answer:</em></u>
They are not equal

<u><em>Explanation:</em></u>
<u><em>Let's take a look at each one of them separately:</em></u>
</span>\frac{1}{5}<span> : This fraction is in the simplest form. It is equivalent to 0.2
The fraction is formed by dividing one part over five

</span>\frac{5}{5}<span> : This fraction is not in the simplest form. We can divide 5 by 5 and the answer would be 1. Therefore, </span>\frac{5}{5}<span> is equivalent to 1

</span>\frac{5}{1}<span> : This fraction is not in the simplest form. We can divide 5 by 1 and the answer would be 5. Therefore, </span>\frac{5}{1}<span> is equivalent to 5.

Based on the above, we can cnfirm that 0.2 , 1 and 5 are not equivalent.
Therefore, the given fractions are not equivalent

Hope this helps :)</span>
5 0
3 years ago
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