Answer:
5 kg
Step-by-step explanation:
use formula, plugging 2 3/4 hours in as 165 minutes
165 = 90 + 15m
75 = 15m
m = 75/15
m = 5
 
        
             
        
        
        
Answer: 
The answer is x = -7.
Step-by-step explanation:
In order to find this, we need to start by using the slope formula with all of the information that we have.
m(slope) = (y2 - y1)/(x2 - x1)
1 = (3 - -7)/(3 - x)
1 = 10/(3 - x)
Now we can use cross multiplication to solve for x. 
1(3 -x) = 1(10)
3 - x = 10
-x = 7
x = -7
 
        
             
        
        
        
Answer:
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
Step-by-step explanation:
sin(x)=sqrt(3)/2
This happens twice in the first rotation on our unit circle.
It happens in the first quadrant and in the second quadrant. Third and fourth quadrants are negative for sine.
So we are looking for when the y-coordinate on the unit circle is sqrt(3)/2.
This is at pi/3 and 2pi/3.
So we can get all the solutions by adding +2pi*k to both of those.  This gives us a full rotation about the circle any number of k times. k is an integer.
So the solutions are 
x=pi/3 + 2pi*k
x=2pi/3+2pi*k
 
        
                    
             
        
        
        
Answer:
We get that √48 = 2⋅2√3. Lastly, step three says to simplify, so we go ahead and multiply the 2⋅2 outside of the square root to get 4√3. That's it! We get that √48 = 4√3.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
do no
Step-by-step explanation: