The 3 and 6 minute rules are used to quickly solve for distance in Nautical Navigation. The principles are then applied to other navigation principles including Rapid Radar Plotting and other tools. Basically these rules are used to quickly determining distance traveled in 3 and 6 minutes.
The premise with these rules is that a Nautical Mile (NM) = 2000 yards (yds)
Additionally, 1 knot (kt) = 1 NM / hr = 2000 yds/hr (this is the equivalent to MPH)
3 Minute Rule:
Speed (kts) * 100 = Distance (yds) traveled in 3 minutes
Example: if traveling 20 knots, the distance you've traveled in 3 minutes is as follows:
20kts *100 = 2000yds
for 15 knots, 15kts * 100 = 1500yds
6 Minute Rule:
Speed (kts) / 10 = Distance (NM) traveled in 6 minutes
Example: if traveling 20 knots, the distance you've traveled in 6 minutes is as follows:
20kts / 10 = 2NM
for 15 knots: 15kts / 10 = 1.5NM
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3-6 seconds rule = -3
It is 3 6 9
Rule: If it is divisible by 2 and by 3Numbers are divisible by 6 if they are divisible by 3 and 2. Therefore, for example, since 18 is divisible by 3 and 2, it is also divisible by 6.The divisibility rule for 6 is, it can go into the number if 2 and 3 can also.
It is 1 minute = 6 degrees and so 6*6 = 36 degrees
The original equation f(x) = 6/(x+3) can be rewritten as f(x) = 6(x+3)-1. Now derive the equation according the the power rule and the chain rule: y = 6 (x+3)-1 dy/dx = 6 (-1)(x+3)-2(1)* dy/dx = -6/(x+3)2 * by the chain rule, you must multiply by the derivative of which is simply one. Thus, the derivative of f(x) = 6/(x+3) equals -6/(x+3)2