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3 years ago

Use Euler’s formula to find the number of vertices in a polyhedron with 6 square faces and 12 edges

Mathematics

1 answer:

Sloan [31]3 years ago

3 0

Answer:

$V = 8$

Step-by-step explanation:

we know that

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

$V - E + F = 2$

in this problem we have

$V=?\\E=12\\F=6$

substitute the given values

$V - 12 + 6 = 2$

solve for V

Combine like terms left side

$V - 6 = 2$

Adds 6 both sides

$V - 6+6 = 2+6$

$V = 8$

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73+55=52+n what does n equate?

Shkiper50 [21]

73 + 55 = 52 + n

Subtract 52 from each side:

73 + 3 = n

n = 76

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What’s 5x[(26-4)-(4+6)

seropon [69]

Answer:

The Answer is: The factors reduce to 60x.

Step-by-step explanation:

First the parenthesis, then the bracket, then the multiplication:

5x[(26 - 4) - (4 + 6)]

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3 years ago

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Medication errors can constitute malpractice and can include a) failure to treat in a timely manner. O b) prescribing medication

finlep [7]

Answer:

a) failure to treat in a timely manner

Step-by-step explanation:

Failure to treat in a timely manner is considered malpractice because it is considered negligence and can result in the worsening of the condition.

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3 years ago

The given line passes through the points (-4, -3) and (4,

drek231 [11]

Answer:

y = 2x + 11

Step-by-step explanation:

The first thing we need to do

is to find the slope of the line that passes through the points (-4,-3) and (4,1)

Mathematically, that would be;

m = y2-y1/(x2-x1)

where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)

substituting these. values we have;

m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5

Now we are told this line is perpendicular to another line that passes through another point.

We can find the slope of this other line

Since both lines are perpendicular, the product of their slope is -1.

Thus , -0.5 * m = -1

m = -1/-0.5 = 2

So the slope of the other line is 2

Using the point-slope form;

y-y1= m(x-x1)

The point for the other line is (-4,3)

So the equation will be

y-3 = 2(x+4)

y-3 = 2x + 8

y = 2x + 11

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3 years ago

Hi , step by step please

Zigmanuir [339]

Answer:

Eldest: $335,500 Middle: $182,750 Youngest: $167,750

Step-by-step explanation:

Let's represent the amount of money the youngest sibling received as x.

The amount the eldest received can be represented as: 2x

The amount the middle sibling received can be represented as: x + 15,000

If we combined the amount of money that all of the siblings received, it would be $686,000. We can write this as an equation:

686,000 = 2x + (x + 15,000) + x

Now let's solve for x. First, combine like terms

686,000 = 4x + 15,000

Subtract 15000 from both sides to isolate the 4x

671,000 = 4x

Divide both sides by 4 to isolate the x

167,750 = x

Now we know that the amount of money the youngest received is $167,750. We can use this amount to figure out how much the other two siblings received.

Eldest: 2 * 167,750 = $335,500

Middle: 167,750 + 15,000 = $182,750

We can check to make sure these answers are correct by adding them all together to make sure that they equal 686,000

167,750 + 335,500 + 182,750 = 686,000

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3 years ago