Trigonometry can be used to find angles and sides of simple triangles. If an 18-foot ladder touches a building 14 feet up the wall then the angle can be deduced by trigonometry. In this case, the ladder defines the hypotenuse (H) of the triangle and the wall defines the opposite (O) side of the triangle. Therefore we can use the equation theta=sin^-1(O/H) . This yields an angle of 51 degrees. 
        
             
        
        
        
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :

Also,

Where
 is the angular speed
So,

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
 
        
             
        
        
        
Total cost as the function of shirts is :
C(x) = mx + 500 .
It is given that , The total cost to produce 100 shirts is $800.
800 = 100m + 500
m = 3
So , cost is given by :
C(x) = 3x + 500 .
Now , putting x = 1000 .
We get :
C(x) = 3x + 500 
C(x) = 3(1000) + 500
C(x) = $3500
Therefore , cost of producing 1000 shirts is $3500 .
Hence, this is the required solution .
 
        
             
        
        
        
Answer:
altruism means selfrecklessness,
Step-by-step explanation:
example: a guy is walking down the street when he sees a guy being robbed, he then very selfrecklessnessly takes a Winchester M1887 combat shotgun out from his guitar and proceeds to wack the man trying to rob the man with the good stuff on top of his head with the broad end of his shotgun while calling 911 with his remote controlled jenga blocks
 
        
             
        
        
        
Answer:
-14.2
Step-by-step explanation: