Answer:
The point C is 12.68 km away from the point A on a bearing of S23.23°W.
Step-by-step explanation:
Given that AB is 50 km and BC is 40 km as shown in the figure.
From the figure, the length of x-component of AC = |AB sin 80° - BC cos 20°|
=|50 sin 80° - 40 cos 20°|=11.65 km
The length of y-component of AC = |AB cos 80° - BC sin 20°|
=|50 cos 80° - 40 sin 20°|= 5 km 
tan
= 5/11.65
=23.23°
AC= 
 km
Hence, the point C is 12.68 km away from the point A on a bearing of S23.23°W.
 
        
             
        
        
        
Answer:
see below
Step-by-step explanation:
P( yellow) = number of yellow sections / total sections
                  = 4/20
                    1/5
                   20%
 
        
                    
             
        
        
        
Step-by-step explanation:
Force = pressure * area 
= 200 * 3.7 
= 740 N
 
        
                    
             
        
        
        
<h3>
Answer:  18</h3>
==========================================================
Explanation:
2 cm on paper (or on screen) represents 3 meters in real life. 
The backyard is 2 cm horizontally across on the screen, so it's 3 meters across in real life. This is the shorter dimension. 
The longer dimension is 6 meters. We can think of it like this
2 cm : 3 meters
2*2 cm : 2*3 meters .... multiply both sides by 2
4 cm : 6 meters
The real backyard is 6 meters by 3 meters to give an area of 6*3 = 18 square meters.
 
        
             
        
        
        
Answer:  21.994 cm²
Step-by-step explanation:
 Area of the shaded region = Area of the bigger circle - the areas of the two smaller circles.
 Formula for finding area of a circle       =  πr² where π is a constants . It has value of         22/7 or 3.142
 Now area of the bigger circle                = 3.142 x 3²
                                                                   = 3.142 x 9
                                                                   = 28.278 cm²                                       Now are of the two smaller triangle        = 3.142 x 1² x 2
                                                                    = 6.284 cm².
Therefore are of the shaded region        = 28.278 - 6.284
                                                                    = 21.994 cm²