Answer:
x = 62.9° (3 sig. fig.)
Step-by-step explanation:
Simply by using the cos law,
cosx = (1.3² + 2.1² - 1.9²)/2(1.3)(2.1)
x = 62.9° (3 sig. fig.)
 
        
             
        
        
        
<u>Given</u>:
Given that Corey is flying a kite with 105 meters of string.
The string makes an angle of 42° with the ground level.
We need to determine the height of the kite.
<u>Height of the kite:
</u>
The height of the kite can be determined using the trigonometric ratio.
Thus, we have;
  
From the given data, the values are   , opp = h (height of the kite) and hyp = 105 meters.
, opp = h (height of the kite) and hyp = 105 meters.
Substituting the values, we get;

Multiplying both sides of the equation by 105, we get;

 
         
Rounding off to the nearest meter, we get;
 
Thus, the height of the kite is 70 meters.
 
        
             
        
        
        
Answer: She uses 10.8 yards of fabric per curtain. 
Step-by-step explanation: 
84.5 - 19.7 = 64.8
64.8/6 = 10.8
 
        
                    
             
        
        
        
Answer:
x=3
Step-by-step explanation:
5х - 2 = 3х + 4
5х - 3х = 4 + 2
2х = 6
х = 6/2
х = 3
Hope this helps!
 
        
                    
             
        
        
        
Answer:
A graph shows zeros to be ±3. Factoring those out leaves the quadratic
  (x-2)² +1
which has complex roots 2±i.
The function has roots -3, 3, 2-i, 2+i.
Step-by-step explanation: