Y = 2x - 5
3x + 8y + 32 = 56
3x + 8(2x - 5) + 32 = 56
3x + 8(2x) - 8(5) + 32 = 56
3x + 16x - 40 + 32 = 56
19x - 8 = 56
<u>      + 8   + 8</u>
     <u>19x</u> = <u>64</u>
      19     19
         x = 3.4
y = 2(3.4) - 5
y = 6.8 - 5
y = 1.8
(x, y) = (3.4, 1.8)
        
             
        
        
        
Answer:
14 feet.
Step-by-step explanation:
Use the tangent function:

a = length of antenna:


a = 14.09538931 ≈ 14
 
        
             
        
        
        
Answer:
12.96pi
Step-by-step explanation:
area = r^2 *pi
= 3.6^2 * pi
= 12.96pi
 
        
                    
             
        
        
        
Step-by-step explanation:
angle 2 = 2x + 10 deg (corresponding angles) or 180 - 4x + 46 deg (angles on a straight line are supplementary)
therefore, 
2x + 10 = 226 - 4x
6x = 216
x = 36 
hence,
angle 2 = 2(36) + 10 = 82deg
Topic: Angles
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
 
        
             
        
        
        
Terminated. Any decimal that repeats goes on forever. Such as pie: 3.1415...