Answer:
x = 4
Step-by-step explanation:
2x + 6 = 7x - 14
2x - 7x = - 14 - 6
-5x = -20
x = 4
Answer to your equation is X=8.25
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
Ratio gives the fractional division of a whole into a given portion. Manu's will get 400 while Swapna will get 560.
To divide 960 in the ratio 5 : 7
- Sum the ratio = (5 + 7) = 12
- Manu's share = 5 × (960/12) = 400
- Swapna's share = 7 × (960/12) = 560
Therefore, Manu and Swapna's share is 400 and 560 respectively.
Learn more : brainly.com/question/13218948
Answer:
The value of X<em> </em>is 6.
Step-by-step explanation:
5 + 3 + 7 + 9 = 24
30 - 24 = 6
X = 6
The difference is 6.
