Answer:
The correct answer is -9.73°.
Step-by-step explanation:
The procedure is:
sin(x + 34)°=cos(2x+20)°
⇒ tan = 1 ; [assuming cos (2x+20)°
 = 1 ; [assuming cos (2x+20)°  0]
0]
⇒ x + 34 = 45 × ( 2x +20)
⇒ x + 34 = 90x + 900
⇒ 89x = -866
⇒ x = -9.73
and also 2x + 20 = 90° ⇒ x = 35°; but this does not satisfy the given equation.
Therefore the value of x is given by -9.73°.
 
        
             
        
        
        
Answer:
Photo 1: (a) C
 (b) A
 (c) D
Photo 2: 12.0416cm
Photo 3: 15.5242cm
Step-by-step explanation:
Photo 1: (a) 6×4=24
 (b) 6(5)+6=36
 (c) 6×6=36
Photo 2: Using Pythagoras' Theorem, 
Unknown side length= square root symbol [(8×8)+(9×9)]
 = 12.0416cm (6sf)
Photo 3: Using Pythagoras' Theorem, 
AC= square root symbol (AB^2+BC^2)
 =square root symbol [(15×15)+(4×4)]
 = 15.5242cm (6sf)
 
        
             
        
        
        
Answer:
A
Step-by-step explanation:
Plug in -6 to the equation
-5 - 3(-6) > 10
Simplify for -5 + 18 = 13
13 > 10
 
        
                    
             
        
        
        
Answer:
16 is the range
Step-by-step explanation:
First, arrange the numbers from least to greatest.
21, 25, 25, 26, 28, 37
Then, subtract 21 (smallest number) from the 37 (biggest number).
37 - 21 = 16
So, the range is 16
Have a wonderful day!