Answer:
The lateral area is equal to
Step-by-step explanation:
In this problem the lateral area is equal to the area of one equilateral triangle multiplied by
To find the area of one equilateral triangle calculate the height
The area of the triangle is equal to
we have
Applying the Pythagoras theorem
The area of one triangle is equal to
so
The lateral area is equal to
Answer:
20
85%
Step-by-step explanation:
You are given the function
If n is the number of hours, then initially n=0 and
If S(n) is the function of exponential growth, then it can be represented as
where I is the initial amount, r -is the percent growth rate and n is the number of hours.
If b = 1.85, we can represent it as b = 1 + 0.85. Thus, the hourly percent growth rate of the bacteria would be 0.85=85%.
Answer:
Step-by-step explanation:
Given that Bill, George, and Ross, in order, roll a die.
The first one to roll an even number wins and the game is ended.
Since Bill starts the game he can win by throwing even number or lose by throwing odd number
P(win) = 0.5, otherwise, the die will go to George. For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.
Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely
To get back the dice once he loses probability
= p both throws odd =
Thus Prob for Bill winning
=
This is an infinite geometric series with I term 0.5 and common ratio 0.125<1
Sum =
