MATH20160130 Flashcards
1/6 as a fraction
~.167
How many feet in a yard?
3 feet
How many feet in a mile?
5280 feet.
How many ounces in a pound?
There are 16 ounces in a pound.
How many pounds in a ton?
There are 2000 pounds in a ton.
How many cubic centimeters in a litre?
1000 cubic cm.
SI units for length?
meter (m)
SI units for mass?
kilogram (kg)
SI units for time?
second (s)
SI units for electric current?
ampere (A)
SI units for thermodynmic temperature?
kelvin (K)
SI units for the amount of a substance?
mole (mol)
SI derived unit for area?
square meter (m2)
SI derived unit for volume?
cubic meter (m3)
SI derived unit for speed?
meter per second (m/s)
SI derived unit for acceleration?
meter per second squared (m/s2)
SI units for frequency?
hertz (Hz)
1 Hz = 1/s
SI units for force?
newton (N)
1 N = 1 mkgs-2
SI unit for pressure or stress?
Pascal (Pa)
1 Pa = 1Nm-2
SI units for energy, work, quantity of heat?
joule (J)
1 J = 1 Nm
SI units for Power?
watt (W)
1 W = 1 J/s
SI units for electric charge?
Coulomb (C)
1 C = sA
SI units for electric potential difference or electromotive force
volt (V)
1 V = W/A
The order of a polynomial is…
the largest exponent to which a variable is raised in one of the terms.
logaa
1
logaMk=
klogaM
loga(MN) =
logaM + logaN
loga(M/N) =
logaM - logaN
10log10M =
M
loga(1) =
given ‘a’ is greater than zero
0
As hydrogen concentration increases the slope of the pH curve?
Increases.
Remember it is a negative slope approaching zero.
Sum of the interior angles of a polygon with n sides?
(n-2)(180)
The sum of the exterior angles of a triangle is always equal to…
360 degrees.
The value of the exterior angle of a triangle is equal to…
the sum of the two opposite interior angles.
Common ratios of right angled triangles
3:4:5 and 5:12:13
Two triangles are similar if they have…
the same value for interior angles.
pi radians is…
180 degrees.
A trapezoid is…
a four sided figure with a pair of parallel sides.
The area of a trapezoid is calculated as…
1/2 * h(a+b)
Area of a parallelogram
base times height.
Surface area of a sphere
4 πr2
Volume of a sphere
(4/3)πr3
Express tangent as a ratio of Sine and Cosine
Tangent = Sine/Cosine
sine30
1/2
cosine(30)
(31/2)/2
sine(45)
2-1/2
cosine(45)
2-1/2
sine(60)
(31/2)/2
cosine(60)
1/2
sine(90)
1
cosine(90)
0
sine(0)
0
cosine(0)
1
Where are the tan aymptotes?
When Cos equals zero. ie T = S/C
What percentage of values are within 1 SD of the mean?
68%
What percentage of values are withing 2 SD’s of the mean?
95%
What percentage of values are within 3 SD’s of the mean?
99%
sin2ø =
2sinøcosø