About 260 kids have blue eyes or prefer blue eyes
Answer:
![V = 8](https://tex.z-dn.net/?f=V%20%3D%208)
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](https://tex.z-dn.net/?f=V%20-%20E%20%2B%20F%20%3D%202)
in this problem we have
![V=?\\E=12\\F=6](https://tex.z-dn.net/?f=V%3D%3F%5C%5CE%3D12%5C%5CF%3D6)
substitute the given values
![V - 12 + 6 = 2](https://tex.z-dn.net/?f=V%20-%2012%20%2B%206%20%3D%202)
solve for V
Combine like terms left side
![V - 6 = 2](https://tex.z-dn.net/?f=V%20-%206%20%3D%202)
Adds 6 both sides
![V - 6+6 = 2+6](https://tex.z-dn.net/?f=V%20-%206%2B6%20%3D%202%2B6)
![V = 8](https://tex.z-dn.net/?f=V%20%3D%208)
So since we know that the post is 40 yards away, plug in 40 into the x variable of the equation to solve. If y is greater than 10 when x = 40, then it made it over. If y is less than 10 when x = 40, then it does not make it over. ![y=-0.03*40^2+1.6*40](https://tex.z-dn.net/?f=%20y%3D-0.03%2A40%5E2%2B1.6%2A40%20)
Firstly, solve the exponent: ![y=-0.03*1600+1.6*40](https://tex.z-dn.net/?f=%20y%3D-0.03%2A1600%2B1.6%2A40%20)
Next, solve the multiplications: ![y=-48+64](https://tex.z-dn.net/?f=%20y%3D-48%2B64%20)
Lastly, solve the addition and your answer will be: ![y=16](https://tex.z-dn.net/?f=%20y%3D16%20)
Since the football was 16 ft high, as opposed to the goal post's 10 ft, when it was at the goal post, it had successfully gone over the post. And since 16 ft is 6 ft higher than 10 ft, the football was 6 ft higher than the goal post when it went over.
Answer:
Hello,
Step-by-step explanation:
The 2 numbers are roots of the equation:
U²-14U+74=0
Discriminant=14²-4*74=-100
<u>U=7-5i or U=7+5i</u>
Answer:
16.00$
Step-by-step explanation:
divide 24 dollars in three sections which is 8 dollars a section. 2/3 is 2 out of 3 sections(8+8) which is sixteen.