Answer:
1/8^2, 1/2^4 and 1/3^5
Step-by-step explanation:
 
        
             
        
        
        
Answer:
R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]
Step-by-step explanation:
Squaring both sides of equation:
      I^2 = (ER)^2/(R^2 + (WL)^2)
<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)
<=>(ER)^2 - (IR)^2 = (IWL)^2
<=> R^2(E^2 - I^2) = (IWL)^2
<=> R^2 = (IWL)^2/(E^2 - I^2)
<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]
Hope this helps!
 
        
             
        
        
        
Answer:
Step-by-step explanation:
V = 1/3 * pi * r^2 * h
d = 12
r = d/2
r = 12/2
r = 6
V = 1/3 * 3.14 * 6^2 * 8
V = 301.44
 
        
             
        
        
        
Answer: 24(2y−1)
Step-by-step explanation:
Factor 48y−24
48y−24
=24(2y−1)
Answer:
24(2y−1)
 
        
                    
             
        
        
        
Answer:
Using trigonometric ratio:


From the given statement:
 and sin < 0
 and sin < 0
⇒ lies in the 3rd quadrant.
 lies in the 3rd quadrant.
then;

Using trigonometry identities:
 
 
Substitute the given values we have;

Since, sin < 0
⇒
now, find  :
:

Substitute the given values we have;

Therefore, the exact value of:
(a)

(b)
