Answer:
6x = 3/8x + 4
Step-by-step explanation:
The product of a number (x) and 6 ... 6x
is ... =
four more than ... ___ +4
the product of the number and 3/8 ... 3/8x . . . . (goes in the blank that is added to 4).
Thus, this statement is directly translated to ...
... 6x = 3/8x + 4
Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) =
[Since, sin(a) =
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
= 
Therefore, cos(a + b) = 
Answer: (B) - 43°
Explanation: Using the sine rule, we can say that sinA/BC = sinC/AB
sin(61)/45 = sin(C)/35
sin(C) = 35sin(61)/45
sin(C) ≈ 0.680259772....
C = arcsin(0.680259772...)
C = 42.8639459...
C ≈ 43°
2n+9+5n=30 combine like terms on left side
7n+9=30 subtract 9 from both sides
7n=21 divide both sides by 7
n=3