Answer: w<0
Step-by-step explanation:
Kinetic engery = -1/2mv^2
Work = Fd
Combine:
-1/2mv^2 - Fd = 0
-1/2mv^2 = (0.30*15000*9.81*cos(6))d = 0
Multiply both sides by 2:
v^2 = 2d(0.30*9.81*cos(6))
Solve for d:
d=v^2 / 2(0.30*9.81*cos96))
v = speed:
d = 35^2 / 2*0.30 * 9.81 * cos(6)
d = 1225 / 5.85376
d = 209.27 meters. Round answer as needed.
I prefer to use compatible numbers because by using this method it is easier to make a sum mentally. This is true because compatible numbers are close in value to the actual numbers. For a better understanding, let's take an example:
Suppose you have two numbers, namely 640 and 40. These two numbers are compatible for division because:
64 ÷ 4 = 16
So, we have used mental arithmetic to solve a more complex problem.
Answer:
2 irrational solutions.
Step-by-step explanation:
6p^2 = 8p + 3
0 = -6p^2 + 8p + 3
The roots are:
p = (2/3) - (8.5)^(1/2)/3, and
p = (2/3) + (8.5)^(1/2)/3
These are irrational numbers.
There are 2 irrational solutions.
Greatest Common Factor: 2