Answer:
   x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
   sin(x) = cos(90 -x)
   sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
  90 -(3x+4) = 8x -35
   86 -3x = 8x -35
   86 +35 = 8x +3x . . . . . add 3x+35 to both sides
   121 = 11x . . . . . . . . . . . . collect terms
   121/11 = x = 11 . . . . . . . . divide by 11
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<em>Comment on the solution</em>
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
   11 +(32 8/11)k . . . for any integer k
Another set is ...
   61.8 +72k . . . . . for any integer k
 
        
             
        
        
        
A cannot be the answer.
The maximum distance he can travel is 420 miles. He has gone 180. He still has 420 - 180 = 240 miles left to go.
C The distance is correct in the first set of brackets, but you cannot add distance divided by time (which is a speed) to distance.
D is incorrect. The first set of brackets is correct, but the second set is meaningless. Distances and rates do not mix.
B <<<<< Answer If you divide the remaining distance (240) by the rate (180/3) you get the correct answer of 4 hours.
B <<<< answer. 
        
             
        
        
        
Answer:
1- 3/4 
2- 5/6
3- 2/3
4- 7/10 
Step-by-step explanation:
1= a 
2=b
3=c
4=d 
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First you have to divide the 9 on both sides to get x alone. Next you would have to divide 117 and 9. (117÷9=13) . So x>13
 
        
        
        
Answer:
1 millimeter, 1 centimeter, 1 meter, 1 kilometer
Step-by-step explanation: