Answer:

Step-by-step explanation:
- Pythagorean theorem 
 
 
 
        
                    
             
        
        
        
The probability that Gina randomly selected two red marbles is 1/19
<u>Explanation:</u>
Total number of marbles = 7 + 5 + 8
                                           = 20
The probability of getting two red marbles in the fraction form is given as:
P(first red marble) = number of red marbles / total number of marbles
P(first red marble) = 
P(second red marble) = number of red marbles after 1 white marble is removed / total number of marbles after 1 red marble is removed.
P(first red marble) = 
P(two red marbles) = P(first) X P(second)
                               = 
                               = 
Therefore, the probability that Gina randomly selected two red marbles is 1/19
 
        
             
        
        
        
Answer:
2p + q = 1
9p + 3q + 3 = 0
q = 1 - 2p
replace q = 1 - 2p into 9p + 3q + 3 = 0
9p + 3(1 - 2p) + 3 = 0
9p + 3 - 6p + 3 = 0
3p + 6 =0
3p = -6
p = -2
q = 1 - 2p
q = 1 -2(-2)
q = 1 + 4
q = 5
(-2 , 5)
there for the answer would be
{(-2, 5)}
Hopefully this was helpful <3 :3
 
        
             
        
        
        
Answer:
Answer is B ( 314.9 m2)
Step-by-step explanation:
A= H(B)/2
A= 25.6(24.6)/2
A= 314.88
 
        
             
        
        
        
Given:
The expression is:

To find:
The integration of the given expression.
Solution:
We need to find the integration of  .
.
Let us consider,

 
         ![[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]](https://tex.z-dn.net/?f=%5B%5Cbecause%201%2B%5Ccos%202x%3D2%5Ccos%5E2x%2C1-%5Ccos%202x%3D2%5Csin%5E2x%5D)

 
                      ![\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Ctan%20%5Ctheta%20%3D%5Cdfrac%7B%5Csin%20%5Ctheta%7D%7B%5Ccos%20%5Ctheta%7D%5Cright%5D)
It can be written as:
 
             ![[\because 1+\tan^2 \theta =\sec^2 \theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%201%2B%5Ctan%5E2%20%5Ctheta%20%3D%5Csec%5E2%20%5Ctheta%5D)


Therefore, the integration of  is
 is  .
.