Uploaded by Tim Lovett

Maths-Formulas-01

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Mat
hsFor
mul
aSheetMEM30012A
Equat
i
onofal
i
ne
y=mx+b
CASI
O FX82
Res
etc
al
c
ul
at
or
Conver
t
i
ng.
.
.
Rect
angul
art
oPol
ar
:
2 2
r=(
x+y) Q=at
an(
y/
x)
Pol
art
oRect
angul
ar
:
x=r
*
si
n(
Q) y=r
*
cos(
Q)
m =gr
adi
ent
b=yaxi
si
nt
er
cept
b=4
Or
derofOper
at
i
ons.
m =-2/
3
Oper
at
i
onswi
t
ht
hesamepr
i
or
i
t
y
ar
epr
ocessedf
r
om l
ef
tt
or
i
ght
1.Br
acket
s
2.Funct
i
onswi
t
hbr
acket
ssi
n(
30)
3
3.Power
s72,(
a+4)
4.Fr
act
i
ons
2
5.Negat
i
vesi
gn42=16souse(
4)
6.Mul
t
i
pl
i
cat
i
on/di
vi
si
on
7.Addi
t
i
on/subt
r
act
i
on
y=
3
2/
3x
+4
2
Di
st
ancebet
ween2poi
nt
s:
2
2
di
st= (
y2y1)
+(
x2x1)
Rul
esf
orI
ndi
ces
m
m
m
(
ab) =a xb
am xan=am+n
am I an=am-n
n
(
am)
=amxn
uck!
am +an=badl
0
a =1
3
1
a2= 3
a1=a
a
a-1=1/
a
a1/n= n a
NumberNot
at
i
ons
Sci
ent
i
f
i
cNot
at
i
on.Onedi
gi
tbef
or
edec
i
mal
pl
ac
eandt
henpoweroft
en.
4
35500=3.
55x10 =3.
55E4
Engi
neer
i
ngNot
at
i
on.Bet
ween1and3di
gi
t
s
bef
or
edec
i
mal
pl
ac
eandpower
soft
eni
nmul
t
i
pl
esof3.
35500=35.
5x103=35.
5E3
Si
gni
f
i
cantf
i
gur
es.St
ar
t
i
ngf
r
om t
hel
ef
t
,
f
i
ndt
hef
i
r
s
tnonz
er
odi
gi
tandc
ountnumberof
di
gi
t
s
.
0.
0357=3s
f
,27.
501=5s
f
,0.
00005=1s
f
Ri
ghtAngl
eTr
i
angl
es
O
H
A
Scal
ene(
r
andom)t
r
i
angl
e.Si
ne&Cosi
ner
ul
es
Ci
r
cl
es
Di
amet
er
Ci
r
c
um =2pr
C
Se hor
gm d
en
t
Ra
di
us
Sec
t
or
e
r
nt
e
C
2
Ta
ea=pr
ng Ar
en
t
Poi
nt
gent
Tan
1.Tr
i
angl
esof
fac
hor
d:
Angl
eatc
ent
r
e=2xangl
e
atc
i
r
c
umf
er
enc
e.
2.Tr
i
angl
esof
fac
hor
d:
Al
way
st
hes
ameangl
eat
c
i
r
c
umf
er
enc
e(
orc
ent
r
e)
.
a
a
a
3.Cy
c
l
i
cQuadr
i
l
at
er
al
:
Oppos
i
t
eangl
esaddupt
o
180o
4.Angl
eof
fadi
amet
eri
s
0
al
way
s90
5.Angl
ebet
weent
angent
andr
adi
usi
sal
way
s900
x1=
b+ b2-4
a
c
2
a
x2=
b- b -4
a
c
2
a
b
C
a
A
c
2
B
Si
mul
t
aneousEquat
i
ons
Equat
i
onswi
t
hmul
t
i
pl
eunkowns.Youneed1(
di
f
f
er
ent
)equat
i
on
f
orever
yunknown.
Met
hodofSubst
i
t
ut
i
on:E.
g.a&b
1.Tr
ansposeanequat
i
ont
ogeta=.
.
.
.
2.I
nser
tt
hi
sequat
i
onever
yt
i
meaappear
si
nt
heot
herequat
i
on.
3.Sol
vet
hi
sequat
i
ont
of
i
ndb
St
at
i
st
i
cs
3,
8,
9,
7,
5,
7,
2,
6,
4
Mi
ni
mum =s
mal
l
es
tv
al
ue2
Maxi
mum =l
ar
ges
tv
al
ue9
Range=Max-Mi
n7
Count=Numberofv
al
ues9
Tot
al=Sum ofal
l
v
al
ues51
Aver
age=Tot
al
/Count5.
667
Medi
an=Mi
ddl
es
c
or
ewhen
s
or
t
edi
nas
c
endi
ngor
der
6,
2,
3,
4,
5,
7,
7,
8,
9
Vol
ume,Ar
ea
Ar
eaofr
ect
angl
e=bxh
Ar
eaofpar
al
l
el
ogr
am =
basexper
phei
ght
Ar
eaoft
r
i
angl
e=
1/
2xbasexper
phei
ght
Vol
umeofanypr
i
sm =
Ar
eaofbasexhei
ght
Vol
umeofanycone=
Ar
eaofbasexhei
ght/3
3
Vol
umeofspher
e=4/
3p r
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