Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
 
        
             
        
        
        
Answer:
If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.
 
        
             
        
        
        
Answer:
(5,-4) and (-5,6)
Step-by-step explanation:
Given:

Solve it. First, express y in terms of x from the second equation:

Substitute it into the first equation:

Apply zero product property:

So,

When  then
 then 
When  then
 then 
We get two solutions: (5,-4) and (-5,6)
 
        
             
        
        
        
Answer:
THE TOTAL INTEREST EARNED = $ 385 
Step-by-step explanation:
Interest earned by sal from first account can be calculated as follows :
Principal value (P)  =  $1000 .
interest rate (R)  =  7.5 % .
Time period (T) =  1  year .
 
 
         
          = $ 75 .
SIMILARLY , we can find the intrest earned by rest amount.
Principal value (P) = $5000 - $ 1000 = $ 4000 .
Interest rate (R) = 7.75 % .
Time period (T) = 1 year .

       = $ 310 .
THE TOTAL INTEREST EARNED = $ 75 + $ 310
                                                        = $ 385