4.7 as a fraction would be 4 and 7/10 (7 over 10).
Step-by-step explanation:
120*10% =12
10% percent *120
= (10/100)*120
= (10*120)/100
= 1200/100 = 12
120 - 12 = 108.00 is original price of math text
Q + d = 100 so q = 100 - d
0.25q + 0.10d = 19
substitute q = 100 - d into 0.25q + 0.10d = 19
0.25q + 0.10d = 19
0.25(100 - d) + 0.10d = 19
25 - 0.25d + 0.10d = 19
-0.15d = -6
d = 40
q = 100 - 40 = 60
answer
Kitara has 60 quarters and 40 dimes
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
