Answer:
12
(If needed explanation ask in the comments! ty)
Hope This Helps! •v•
 
        
             
        
        
        
Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1 
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1 
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is 
sin A/2= 1/sqrt10
 
        
             
        
        
        
Answer:
- first option is incorrect 
- second option is correct 
- third option is correct 
- fourth option is correct 
Step-by-step explanation:
grammarly xoxo
 
        
             
        
        
        
Answer:
Option 3 is correct that is prime numbers.
Step-by-step explanation: 
Even numbers are those which are divisible by 2
Prime numbers are the numbers which are divisible by 1 and the number itself
Since, we have to take only positive numbers
Carrie has taken out the set of  even number within the set of prime number
So, 2 is the only number inside this eset because 2 is even as well as prime
Hence,universal set will be prime numbers
Therefore, Option 3 is correct that is prime numbers.