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Maurinko [17]
3 years ago
8

Use Euler’s Formula to find the missing number. Faces: 8 Edges: _____ Vertices: 6

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

The number of edges is E=12

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

so

V- E + F = 2

In this problem we have

F=8, V=6

substitute and solve for E

6- E + 8 = 2

E=6 + 8 -2=12

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zalisa [80]
<h2>Hello!</h2>

The answer is:

It will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

<h2>Why?</h2>

To calculate how long after they start they will be 3/4 miles apart, we need to write two equations.

So, writing the equations, we have:

Calculations for Ava:

We have the following information,

v_{Ava}=6mph

Then, writing the equation,

x_{Ava}=x_{o}+v_{Ava}*t

x_{Ava}=x_{o}+v_{6mph}*t

Calculations for Kelly:

We have the following information,

v_{Kelly}=8mph

We need to calculate when Kelly will be 3/4 miles apart of Ava, so, it's position will be the Ava's position plus 3/4 miles.

Then, writing the equation,

x_{Ava}+0.75miles=x_{o}+v_{Kelly}*t

x_{Ava}+0.75miles=x_{o}+v_{8mph}*t

Now, substituting Ava's speed into the second equation, we have:

x_{o}+6mph*t+0.75miles=x_{o}+8mph*t

6mph*t+0.75miles=+8mph*t

8mph*t-6mph*t=0.75miles

2mph*t=0.75miles

t=\frac{0.75miles}{2mph}=0.375hours

Hence, we have that it will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.

Have a nice day!

7 0
3 years ago
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Whats the expression
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Step-by-step explanation:

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P = 2(L + W)

Plug in 160:

160 = 2(L + W)

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<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)

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Combine like terms:

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