We’ll subtract the exponent in the denominator from the exponent in the numerator, keeping the base the same. Cant be simplified, because the base of the expression in the numerator is y and the base of the expression in the denominator is x.
        
             
        
        
        
Turn the fraction into a improper fraction.
4 5/6 -> 29/6
Divide both numbers.
29 / 6 = 4.833...
Best of Luck!
 
        
                    
             
        
        
        
Angle G = 130 degrees
Angle H = 50 degrees
Angle K = 74 degrees
Angle M = 106 degrees
<u>Angle G would be 130 degrees</u> because it's a vertical angle, and vertical angles are always alike.
<u>Angle H would be 50 degrees</u> because it's an adjacent angle, and we also know that one side of the line is always 180 degrees so we have an equation that looks like this 180 - 130 = 50 degrees
<u>Angle K would be 74 degrees</u> because it's a vertical angle.
<u>Angle M would be 106 degrees</u> because it's an adjacent angle.
 
        
             
        
        
        
3 (k-12) = k-30
3k - 36 = k - 30
3k - k = -30 + 36
2k = 6
k = 3
        
                    
             
        
        
        
Answer:
is at a distance of 722 feet
Step-by-step explanation:
we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue
we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg
we see that it has (angle, adjacent, opposite)
well to start we have to know the relationship between angles, legas and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
it's the tangent
tan α = o/a
we replace the values and solve
tan α = o/a
tan 22.9 = 305/a
a = 305/tan22.9
a = 305/0.4224
a = 722
is at a distance of 722 feet