6^2 = x (x - 9)
x^2 - 9x - 36 = 0
(x -12)(x + 3) = 0
x - 12 = 0; x = 12
x +3 = 0; x = -3
so in this case x = 12 then DC = 12 - 9 = 3
y^2 = 12^2 - 6^2
y^2 = 144 - 36
y^2 = 108
y = 10.4
1/7 * 1/2 = 1/14
1/2 because there is a 50/50% chance its either heads or tails
Answer:
Step-by-step explanation:
Remark
You need the work done (I think), and the power developed from the givens. This question is just a straight forward application of the formulas for work and power.
Givens
F = 100 N
d = 5 meters
t = 15 seconds
Formulas
W = F * d
Power = F * d / t
Solution
<u><em>Work</em></u>
W = 100 N * 5 meters
W = 500 Newton Meters or 500 J
Work = 500 Joules
<u><em>Power</em></u>
P = F * d / t
Power = 100 * 5 / 15
Power = 33.3 Watts.
Answer:
The car travelled 73 miles
The boat travelled 53 miles
The car arrived 17.7 minutes before the boat
Step-by-step explanation:
The total distance the car travelled from Point A to Point B = 28+45 = 73 miles
The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.
Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes
Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.
The time taken by the car is the shortest, therefore it arrives first before the boat.
(◔‿◔)
Answer:
he can still get a 5 but he is equally likely to get any other number 1 to 6
Step-by-step explanation:
he has a 1/6 chance of rolling 5 the first turn and it becomes more and more rare to roll lots of 5s in a row
1/6
1/36
1/216
etc
each time the denominator is multiplied by 6 because it is less likely he will roll a 5 so many times in a row
