Answer:
false
Step-by-step explanation:
the only difference is the fact that it was reflected over the y-axis. the size of the triangle was not altered. the triangles are the same size, just different locations.
 
        
                    
             
        
        
        
The mass in kilograms would be: 1.442424
 
        
                    
             
        
        
        
Answer:
angle a is 116 degrees
Step-by-step explanation:
ok so first we have to make everything equal to 180 because every triangle is 180 degrees so it would be written like this:
(14x + 4) + (5x - 1) + (2x + 9) = 180
Then, we solve for x and x equals 8
After this we plug 8 back into the angle so it would be written like this:
14(8) + 4
This equals 116 degrees.
 
        
                    
             
        
        
        
Answer:
m=13/2 hope this helped:)
Step-by-step explanation:
 
        
             
        
        
        
Answer:
a. Based on this information, construct a linear demand equation for Yoda vs. Alien T-shirts, and hence obtain the weekly revenue R as a function of the unit price x.
- y = 640 - 80x ⇒ demand equation
- xy = - 80x² + 640x ⇒ weekly revenue
b. The university administration charges the fraternities a weekly fee of $500 for use of the Student Center. Write down the monthly profit P as a function of the unit price x, and hence determine how much the fraternities should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?
Step-by-step explanation:
first, we must determine the slope = (400 - 240) / (3 - 5) = 160 / -2 = -80
the demand equation:
y - 240 = -80 (x - 5)
y = -80x + 400 + 240
y = 640 - 80x
total weekly revenue:
xy = -80x² + 640x
xy - 500 = -80x² + 640x - 500
max. profit ⇒ x = -640 / (2 x -80) = -640 / -160 = 4
maximum weekly profit = -80($4²) + 640($4) - $500 = -$1,280 + $2,560 - $500 = $780