Answer:
There is an 85% probability that the sprinkler head will be activated.
Step-by-step explanation:
We have these following probabilities:
50% of the first sprinkler being triggered
90% of the first sprinkler being reliable
50% of the second sprinkler being triggered
80% of the second sprinkler being reliable.
What is the probability that the sprinkler head will be activated?

 is the probability of the first sprinkler being triggered and activated. So:
 is the probability of the first sprinkler being triggered and activated. So:

 is the probability of the second sprinkler being triggered and activated. So:
 is the probability of the second sprinkler being triggered and activated. So:


There is an 85% probability that the sprinkler head will be activated.
 
        
             
        
        
        
Answer:
4-25
Step-by-step explanation:
 
        
             
        
        
        
Isosceles right triangles are half squares, and if the length of one side is 6cm, that is the length of the other side since both segments are equal. Take the formula to find the area of a square (base times height), apply the side measurement of the triangle (6cm) and divide it in half to find the area of half of it (therefore, finding the area of the isosceles triangle.) 
(6x6) / 2
6x6 = 36
36 / 2 = 18 
The area of the isosceles triangle is 18 square centimeters.