Answer:
In the explanation
Step-by-step explanation:
Going to start with the sum identities
sin(x+y)=sin(x)cos(y)+sin(y)cos(x)
cos(x+y)=cos(x)cos(y)-sin(x)sin(y)
sin(x)cos(x+y)=sin(x)cos(x)cos(y)-sin(x)sin(x)sin(y)
cos(x)sin(x+y)=cos(x)sin(x)cos(y)+cos(x)sin(y)cos(x)
Now we are going to take the line there and subtract the line before it from it.
I do also notice that column 1 have cos(y)cos(x)sin(x) in common while column 2 has sin(y) in common.
cos(x)sin(x+y)-sin(x)cos(x+y)
=0+sin(y)[cos^2(x)+sin^2(x)]
=sin(y)(1)
=sin(y)
Answer:
Step-by-step explanation:
(1) P = 5G
(2) G + P = 30
Substituting (1) into (2) gives:
G + 5G = 30
6G = 30
G =5
So there are 5 green pencils.
Now using that in (1) gives us P = 5 x 5 = 25
So there are 5 green pencils and 25 purple pencils.
Answer:
720 apples
Step-by-step explanation:
Let A be the number of apples in the small pack.
QTY for Small Cartons is 15A,
QTY for Big Cartons is 20(A+15) = 20A+300
From small cartons makes 25% or 1/4 of total, means the big carton makes 75% of total, or 3/4 of total. This also means the qty in big carton is 3 times of small carton
20A+300 = 3X (15A)= 45A
300 = 25A
A=12
Altogether = 15A+(20A+300) = 720 Apples
99/110
iruwjqkfsjakgjlkja;lkdfjskl ; jkgfj jh jj j hjh jh jh jh jhk kgoljkhk jhkl jh jkhjk k hjk hlkj h
Answer:
-64
Step-by-step explanation:
we should put -2 for j and -1 for k,
