We are given with the expression <span> (1 - cos x) / (x^2)</span><span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. cos infinity is 1. The answer is zero over zero. This is indeterminate so we derive the terms according to L'hopital's rule. The derivative is sin x /2x. sin infinity is 1. 1/infinity is equal to zero. Hence the answer is zero.</span>
Answer:
Kinetic energy = 135 kJ
Potential energy = 73.5 kJ
Explanation:
Mass of sky diver = 75 kg
Velocity = 60 m/s
Height = 100 m
Kinetic energy is given by the expression, , where m is the mass and v is the velocity.
So Kinetic energy =
Potential energy is given by the expression, PE =mgh, m is the mass, g is the acceleration due to gravity value and h is the height.
So, Potential energy = 75*9.8*100 = 73500J = 73.5 kJ
Answer:
(2,-2)
Step-by-step explanation:
The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.
Hope this helps! Best of luck!
Answer:
mABD=24
mDBC=24
Step-by-step explanation:
First, set up x+15 and 4x-12 as equivalent equations
Subtract x from both sides to get 3x-12=15
Add 12 to get 3x=27
x=9
Plug 9 into the original equations representing the measurements of angles
You should get 24 for both because bisected means both are congruent
Answer:
3. 2J-8=J
Step-by-step explanation:
Yosef is twice as old as his sister Joy (2J). When he was 8 years younger (-8) he was the age his sister is now (=J).