To find conjecture about regular polygon, use the formula 

Where, n = number of sides of the regular polygone
1) Triangle
n =3
So, Conjecture of the triangle = 

 = 120
2) Square
n =4
So, Conjecture of the square = 

 = 90
3) Pentagone
n = 5
So, Conjecture of the pentagon = 

 = 72
4) Hexagone
n = 6
So, Conjecture of the pentagon = 

 = 60.
 
        
        
        
The area of a square with sides of length s is
A=s^2, and we are told A=25 so
s^2=25
s=√25
s=5m
        
                    
             
        
        
        
Answer:
17/5
Step-by-step explanation:
3 x 5
15+2
17/5
 
        
                    
             
        
        
        
Answer:
y = 0.80 
Step-by-step explanation:
Given:
- The expected rate of return for risky portfolio E(r_p) = 0.18
- The T-bill rate is r_f = 0.08
Find:
Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. 
 What is the proportion y?
Solution:
- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:
                                      E(r_c) = y*E(r_p) + (1 - y)*r_f
                                      y*E(r_p) + (1 - y)*r_f = 0.16
- Re-arrange for proportion y:
                                      y = ( 0.16 - r_f ) / (E(r_p) - r_f)
- Plug in values:
                                     y = ( 0.16 - 0.08 ) / (0.18 - 0.08)
                                     y = 0.80 
- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.