Answer:
1/169
Step-by-step explanation:
There are 4 jacks in a deck of cards. 
So 4/52 is the probability of drawing 1 card
The probability of drawing 2 jacks is 4/52*4/52
Solve, and that is 1/169
I hope this helps!
 
        
             
        
        
        
Answer:
152
Step-by-step explanation:
x =7+1 = 8
8 x 19 =152
 
        
                    
             
        
        
        
w = 37.846 mph (wind rate)
plane speed in still air: 492 mph
        
             
        
        
        
Answer:
Explanation:
Use the Pythagorean theorem ( 
a
2
+
b
2
=
c
2
 )
Lets label the right triangle such that:
a
=
12
 
b
=
16
 
c
=
x
 
Thus,
12
2
+
16
2
=
x
2
 
144
+
256
=
x
2
 
400
=
x
2
 
√
400
=
x
 
20
=
x
 
So our missing side, 
c
 is 
20
 
We can now say that the sides of our triangle are 
12
,
16
,
20
 
I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).
Step-by-step explanation:
Hope it helpful
 
        
                    
             
        
        
        
Option (b) is your correct answer.
Step-by-step explanation:

Given Trigonometric expression is 

So, on rationalizing the denominator, we get 

We know, 

So, using this, we get 

We know, 

So, using this identity, we get 


<u>Hence, </u>
