Multiples of 10 = 10, 20, 30, 40, 50, 60
This means the 10th, 20th, 30th, 40th, 50th, 60th, ... fan will get a free hat.
Multiples of 12 = 12, 24, 36, 48, 60
This means the 12th, 24th, 36th, 48th, 60th, ... fan will get a free shirt.
So the 60th fan will receive both a hat and a shirt.
Meaning 60 fans will come to the stadium before a fan receives both a hat and a shirt.
Answer:
729
Step-by-step explanation:
(x - xc)² + (y - yc)² = r²
Where xc and yc are center coordinates
(x - (-4))² + (y - 3)² = 2²

x² + 2.x.4 + 4² + y² - 2.y.3 + 3² = 4
x² + 8x + 16 + y² - 6y + 9 = 4
x² + y² + 8x - 6y + 25 - 4 = 0
x² + y² + 8x - 6y + 21 = 0
Answer:

Step-by-step explanation:
The distance (d) between two points in 3 dimensions is ...
d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)
Then the distance between (a, -b, -4) and (0, 0, 0) is ...
d = √((a -0)² +(-b -0)² +(-4 -0)²)
= √(a² +b² +16)