Answer:
There are 795 combinations.
Step-by-step explanation:
The number of ways or combinations in which we can select k element from a group of n elements is given by:

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.
Then, the number of combinations for every case are:
1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:


2. Choose 3 Comedies from the 10. This is calculated as:

Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795
 
        
             
        
        
        
Answer:
Option (B) is correct.
To prove
As given the epression in the question is given by

Now simplify the above
Terms are written as


Put in the above expression.




 
        
             
        
        
        
Given is triangle with base = 10 cm and perpendicular height = 3 cm.
We know the formula for area of triangle is given by :-
Area =  × (Base) × (perpendicular height)
 × (Base) × (perpendicular height)
Area =  × (10) × (3)
 × (10) × (3)
Area = 
Area = 15 cm²
So, final answer is 15 cm².
 
        
             
        
        
        
7/7.42 = $0.94
Hope this helped :)
        
             
        
        
        
Answer:
<u>x = 8√2</u>
Step-by-step explanation:
As the opposing side of the angle and the hypotenuse are given, take the sine ratio of the angle.
- sin 45° = x/16
- 1/√2 = x/16
- x = 16 / √2 
- x = 16√2 / 2
- <u>x = 8√2</u>