Answer:
So the number of total combinations is 35.
Step-by-step explanation:
We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.  
Therefore, she have total 7 courses.  
So, we calculate the number of combinations to choose 4 out of 7  courses. 
We get:

So the number of total combinations is 35.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
AC = length of flagpole = 12 ft
AB = length of shadow = 14 ft
BC = length from the top of the flagpole to the end of the shadow = x ft
Use Pythagorean theorem to find the length of x,
x² = AC² + BC²
    = 12² + 14²
   = 144 + 196
   = 340 
x = √340
x = 18.4 ft
 
        
             
        
        
        
Answer:
<h2>
x²+7x-2 = 0</h2>
Step-by-step explanation:
The general form of a quadratic equation with roots a and b is expressed as shown;
x²-(sum of root) x + (product of roots) = 0
x² - (a+b)x + ab = 0 ... 1
Given the sum of roots a+b = -7
Product of roots ab = -2
Substituting this values in equation 1 above wil give;
x²-(-7)x+(-2) = 0
x²+7x-2 = 0
The resulting quadratic polynomial is x²+7x-2 = 0
 
        
             
        
        
        
21.1 should be the correct answer because 4.5% of 2000 is 90
        
             
        
        
        
Answer:
i think the value of y is 8