Answer:
x = 19
Step-by-step explanation:
Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is
= 
, substitute values
= 
( cross- multiply )
22.5(x - 9) = 225 ( divide both sides by 22.5 )
x - 9 = 10 ( add 9 to both sides )
x = 19
Answer:
A = 693
Step-by-step explanation:
The shape presented is a parallelogram, and the formula for this is:
A = bh
The "b," is the base (21) and the "h," is the height (33), so plug this in:
A = (21)(33)
A = 693
Answer:
B) -2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2
This is the formula you would use to calculate how many tiles you would need.
# of tiles you need = Total square footage ÷ square footage of each tile
Total square footage: 69x69 = 4761 square feet
Square footage of each tile = 2x2 = 4 square feet
# of tiles you need = 4761 ÷ 4 = 1190.25
You will need 1190.25 tiles.
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
