<span>A = 2 * (0.5ab) + b (10 - a) = ab + 10b - ab = 10b
10b = 30√2; b = 3√2
sin α = 3√2 / 6; α = 45 degrees
Small angle: 45°; Large angle: 135°</span><span>
</span>
Answer:
The electric bill of the Leonin family was of $ 877,626.
Step-by-step explanation:
Given that the Leonin family used 90 kWh for their electric consumption for the month of August, if the power consumption costs P9.7514 per kWh, to determine how much is their electric bill, the following calculation must be performed:
9.7514 x 90 = X
877.626 = X
Thus, the electric bill of the Leonin family was of $ 877.626.
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 = 
The cost of the tuitions will if you round off 43:000 it would $43