Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = 
cosθ = 
cos(30°) =  
 
               = 
               = 
sin(30°) = 
              = 
              = 
cos(60°) = 
               = 
               = 
sin(60°) = =  
 
               = 
               = 
Options (1), (2), (3) and (4) are the correct options.
 
        
             
        
        
        
Try this explanation:
Note, in the 1st row given '9x', in the 2d one - '9(0)', then it means the substitution '0' instead of 'x'. In other words <u>x=0</u> !
answer: x-intercept is '0', y-intercept is '12'
 
        
             
        
        
        
Answer:
1,58,18,400
Step-by-step explanation:
1st digit can have the values 1-9 (9 distinct values)
2nd digit can have the values 0-9 (10 distinct values)
3rd digit can have the values 0-9 (10 distinct values)
1st letter can have the value A-Z (26 distinct values)
2nd letter can have the value A-Z (26 distinct values)
3rd letter can have the value A-Z (26 distinct values)
Total number of different plates possible = 9*10*10*26*26*26
=1,58,18,400
 
        
             
        
        
        
J/4 - 8 < 4
<u>    + 8   + 8  </u>   *add 8 to both sides to cancel -8.
j/4      < 12
<u>*4/1       *4/1   </u>   *multiply 4/1 to both sides to cancel 1/4
j         < 48
j should be less than 48 to make the inequality true.
example: j = 47
j/4       - 8 < 4
47/4   - 8 < 4
11.75 - 8 < 4
       3.75 < 4  
Any number below 48 will end up with an answer less than 4. if j is 48 and above, the inequality is false because the answer arrived at will be equal to or greater than 4.