Answer:
Each remaining piece is 2.25 ft.
The answer should be C
54*30/100= 16.2
54-16.2 = 37.80
Answer:
66
Step-by-step explanation:

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
356 days in a year / 7 days in a week = 50.8 weeks in a year
50.8 weeks in a year / 6 weeks = 8.48 payments
$156 x 8.48 payments = $1322.88 per year