Answer:
Distance between P and R is 40.15 km.
Step-by-step explanation:
From the picture attached,
Petrol kiosk P is 12 km due North of another petrol kiosk Q.
Bearing of a police station R is 135° from P and 120° from Q.
m∠QPR = 180° - 135° = 45°
m∠PQR = 120°
m∠PRQ = 180° - (m∠QPR +m∠PQR)
              = 180° - (45° + 120°)
              = 180° - 165°
              = 15°
Now we apply sine rule in ΔPQR to measure the distance between P and R.



PR = 
PR = 40.15 km
Therefore, distance between P and R is 40.15 km.
 
        
             
        
        
        
Answer:
78
Step-by-step explanation:
help me with mine pls your smart
 
        
             
        
        
        
Radius = 13 inches
Circumference of wheel = 1 revolution
2πr = 2 x 3.14 x 13 = 81.64 inches
1 revolution = 81.64 inches
30 revolutions = 2449.2inches
        
             
        
        
        
Answer:
2.5 inches
Step-by-step explanation:
the radius is half diameter
 
        
             
        
        
        
Answer:
 (328i + 82)  /  17 
Step-by-step explanation:
`(2i(4+5i)(4-5i))/(4+i)
= (2i(16 - 25i^2)) / (4 + i)
= (2i( 16 + 25) )) / (4 + 1)        [Note:- i^2 = -1]
=  82i / (4 + i)
= 82i(4 - i) / (4 + i)(4 - 1)
= 328i  + 82 /   (16 - i^2)
= (328i + 82)  /  17