Answer:
by applying Pythagoras theorem;
the ladder(13m) acts as hypotenuse
the wall (12m) acts as height
the distance between the the two is the base
therefore
a² + b² = c²
b²= c²- a²
b²= 169 - 144
b² = 25
√b² = √25
b= 5m
the distance is 5m
Pick any value in the y column of the table. I'm going to pick 81. Divide the value you picked by the previous y value, which in my case would be 9
Dividing the values gives: 81/9 = 9
So the base is 9. We multiply each y value by 9 to get the next y value
Eg: to go from 1/81 to 1/9, we multiply by 9. Same for 1/9 to 1, and so on.
Answer: Choice B) 9
Note: This trick only works because x is increasing by 1 each time
I think it is an acute angle
Answer:
Step-by-step explanation:
We are given:
Separation of Variables:
So:
Integrate:
Integrate:
Raise both sides to e:
Simplify:
So:
Simplify:
Step-by-step explanation:
In a standard deck of 52 cards, there are 2 red aces, 2 red Queens, and 13 spades. That leaves 35 cards for everything else.
For the game to be fair, the cost must equal the expected value. The expected value is the sum of each outcome times its probability.
C = (12) (13/52) + (20) (2/52) + (38) (2/52) + (0) (35/52)
C = 68/13
C ≈ 5.2308
