Answer:

Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem, 

Thus,

Consider isosceles triangle MSC. In this triangle

The area of this triangle is

Consider right triangle PTS. The area of this triangle is

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

 
        
             
        
        
        
Answer:
9*(6+7)
Step-by-step explanation:
First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.
Factors of 54
1,2,3,6,9,18,27,54
Factors of 63
1,3,7,9,21,63
The GCF is 9 because is the greatest factor that is common to both numbers. 
Now we have to divide 54/9 and 63/9
54/9 = 6
63/9 = 7
So now we can write the product of the GCF and another sum:
9*(6+7)
<em>We can prove this by solving both expressions:</em>
<em>54+63 = 9*(6+7)</em>
<em>117 = 9*13</em>
<em>117 = 117 </em>
<em>The results are equal so we prove it is right.</em>
 
        
                    
             
        
        
        
Bae is the solution to this question
        
             
        
        
        
The probability that none of the four have been vaccinated is
  (1-0.63)^4 = 0.01874161
The probability that at least one has been vaccinated is the complement of this,
  ≈0.9813
        
             
        
        
        
Answer:
answer correctly definition. 
Step-by-step explanation:
When something is correct, it is right or accurate. The correct answer to a problem is the right answer, so if you answered to a problem right, you answered it correctly.