Answer:
1. Pour the mixture through a filter to separate the sand; 2. Evaporate the liquid to separate the salt.
Step-by-step explanation:
 
        
             
        
        
        
<span>a. n/4 ≤ -1
Multiply both sides by 4 => n ≤ - 4, which is all the real numbers less or equal than - 4.
That in the real number line is all the numbers to the left of - 4 (including  -4)
The matching graph is the B.
b. -10n ≥ -100
Divide both sides by - 10 => n ≤ 10
That is all the real numbers less or equal than 10.
In the real number line it is all the numbers to the left of 10, including 10.
So, the matching graph is the A.
c. 5x ≥ 20
Divide both sides by 5 => x ≥ 4
That is all the real numbers greater or equal to 4.
In the real number line it is all the numbers to the right of 4, including 4.
The matching graph is C.</span>
        
             
        
        
        
Answer:
4. 158
Step-by-step explanation:
First let's make things a little simpler and put these arcs in terms of x.  We know that the degree measure around the outside of a circle, regardless of its size, is 360.  So let's say that arc BC is x.  That means that arc BDC is 360 - x.  This is because arc BC + arc BDC = 360.  Substituting in our x's we have:
x + 360 - x = 360 and
360 = 360.  (That's just the proof that putting in our x's as we did does in fact work!)
Following the formula then, we have
 and
 and

Multiply both sides by 2 to get rid of the fraction and get
44 = 360 - 2x
Subtract 360 rom both sides to get
-316 = -2x
Divide both sides by -2 to get that x = 158
Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.
 
        
             
        
        
        
Answer:
   (2/9)cis(30°)
Step-by-step explanation:
We can express the two numbers in magnitude∠angle form, then find their ratio.
   |z1| = 3√((-1)² +(√3)²) = 3√4 = 6
   ∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°
   z2 = 27∠90°
So, the ratio is ...
   z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)
   z1/z2 = (2/9)∠30°
 
        
             
        
        
        
Answer:
1. 0.21 like that has happened