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# notesmath1

### Mathematics — formulas, conversions, and equations

Mathematics:

• Square root – (20x + y) y
• Cube root: (300x^2 + 30xy + y^2) y
• Fourth root: (4000x^3 + 600x^2y + 40xy^2 + y^3) y
• Metrics:
.  * micro = 10^-4
.  * milli = 10^-3
.  * centi = 10^-2
.  * deci = 10^-1
.  * unity = 10^0
.  * deca = 10^1
.  * hecto = 10^2
.  * kilo = 10^3
• Conversion from US system to metric:
.  * Inches X 2.54 = centimeters
.  * Feet / 3.28084 = meters
.  * Yards X 0.9 = meters
.  * Miles X 1.6 = kilometers
.  * Quarts X 0.95 = liters
.  * Gallons X 3.8 = liters
.  * Pounds X 0.45 = kilograms
.  * (pounds / 2) – 10% of (pounds / 2) = kilograms
• Metric paper = A4
• Conversion from metric to US system
.  * Millimeters / 25.4 = inches
.  * Centimeters / 2.54 = inches
.  * Meters x 3.28084 = feet
.  * Meters / 0.9 = yards
.  * Kilometers / 1.6 = miles ( times by 3, divide by 5 )
.  * Liters / 0.95 = quarts
.  * Liters / 3.8 = gallons
.  * Kilograms / 0.45 = pounds
.  * (kg X 2) + 10% of (kg X 2) = pounds
.  * 50 k/h = 31 mph, 100 k/h = 62.5 mph
• American paper = 8.5 x 11 inches, New Zealand paper =
• The maximum number of prime-numbered days in a given month is 13, which is also a prime number. The minimum number of prime numbers in a given month is .  11, which is also a prime number.
• In a right triangle:
.  * sine of an angle = opposite / hypotenuse
.  * cosine of an angle = adjacent / hypotenuse
.  * tangent of an angle = opposite / adjacent
• Conversion formulae:
.  * 1 square inch = 6.452 square centimeters
.  * 1 square yard = 0.836 square meters
.  * 1 square mile = 2.590 square kilometers
.  * 1 acre = 43,560 square feet
.  * 1 square centimeter = 0.155 square inches
.  * 1 square meter = 1.196 square yards
.  * 1 square kilometer = 0.386 square miles
.  * 1 inch = 2.54 centimeters
.  * 1 mile = 1.609 kilometers
.  * 1 centimeter = 0.394 inch
.  * 1 kilometer = 0.621 mile
.  * 1 pint = 0.568 liter
.  * 1 liter = 1.760 pint
.  * 1 gallon = 4.546 liter
.  * 1 liter = 0.220 gallon
.  * 1 pound = 0.454 kilogram
.  * 1 kilogram = 2.205 pounds
.  * 1 ton = 1016 kilograms
.  * 1 horsepower = 0.746 kilowatts
.  * 1 cubic meter = 35.315 cubic feet
.  * 60 seconds = 1 minute
.  * 60 minutes = 1 degree
.  * 2 pints = 1 quart
.  * 4 quarts = 1 gallon
.  * 12 inches = 1 foot
.  * 3 feet = 1 yard
.  * 5.5 yards = 1 rod
.  * 40 rods = 1 furlong
.  * 8 furlongs = 1 statute mile
.  * 3 miles = 1 league
.  * 14 pounds = 1 stone
.  * centigrade = 5/9 (Fahrenheit – 32)
.  * Fahrenheit = (9/5 x centigrade) + 32