math 0580 Flashcards
memorizing important equations and rules
HCF
- Shift+ fact on calculator for both given numbers
- take the repeated prime factors once
MAKE SURE TO TAKE THE LEAST POWERS - multiply the numbers u took to find HCF
LCM
- Shift+ fact on calculator for both given numbers
- take the repeated prime factors once
MAKE SURE TO TAKE THE HIGHEST POWERS - multiply the numbers u took to find LCM
Addition and multiplication of Upper and lower boundaries
Upper: add or multiply upper and upper boundaries
lower: add or multiply lower and lower boundaries
subtraction and division of Upper and lower boundaries
upper: upper - / lower
lower : lower -/ upper
Simple interest
interest = Prt/100
to find amount add principle to interest calculated
compound interest
amount = P(1+r/100)^t
*to find interest subtract the amount calculated from the principal *
square sequence
1,4,9,16,25,36,24
nth term: n^2
cubic sequence
1,8,27,64,125,216,343
nth term : n^3
arc length
= (theta/ 360) x 2 (pi) r
sector perimeter
=arc length + 2r
sector area
=(theta/360) x (pi) (r)^2
volume and surface area of sphere
volume: = 4/3 (pi) (r)^3
S.A.= 4(pi)(r)^2
volume and surface area of hemisphere
volume: = 2/3 (pi) (r)^3
S.A.= (bowel part + closed surface)= 2(pi)(r)^2 + 3(pi)(r)^2
volume and surface area of cylinder
volume: = (pi) (r)^2 (h)
S.A.= (base area + curved surface)= 2(pi)(r)^2 + 2(pi)(r)(h)
volume and surface area of cone
volume: = 1/3 (pi) (r)^2 (h)
S.A. = (base area + curved surface)= (pi)(r)L + 2(pi)(r)
L= slant height
to find H do pythagoras
volume and surface area of a prism
volume: = area x height
S.A.= (base area x 2) + (base perimeter x height)
sum of interior angles in a regular polygon
= (number of sides - 2)(180)
an angle in a regular polygon
(n-2)(180)/ n
