Answer:
The smaller Number = 15
The larger number = 67
Step-by-step explanation:
Let
The smaller number = x
The larger number = 5x - 8
The sum = 82
(5x - 8) + x = 82
5x - 8 + x = 82
6x - 8 = 82
Add eight to both sides
6x - 8 + 8 = 82 + 8
6x = 90
Divide both sides by 6
x = 90/6
= 15
Therefore,
The smaller number = x = 15
The larger number = 5x - 8
= 5(15) - 8
= 75 - 8 
= 67
 
        
             
        
        
        
Answer:
4:9
Step-by-step explanation:
- Circles: 8
- Total shapes: squares + circles
- Total shapes: 10 + 8
- Total shapes: 18
- Circles : Total shapes = 8:18
- 8:18 = 4:9
I hope this helps!
 
        
                    
             
        
        
        
If the rectangle has a fixed width of 300, it means that

where  and
 and  are width and length, respetively.
 are width and length, respetively.
So given the length  , the are would be
, the are would be

 
        
             
        
        
        
Answer:
see below
Step-by-step explanation:
The Pythagorean theorem is for right triangles.  It uses the two legs and the hypotenuse
a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse