Answer:
15 °
Step-by-step explanation:
An angular bisector can divide the angle in to 2 congruent angles.
According to the question, the angular bisector KM divides J K L angle into 2 congruent angles.
So,
< J K M = < M K L
2x + 5 = 5x - 10
Now let us find the value of x.
2x + 5 = 5x - 10
2x + 5 + 10 = 5x
15 = 5x - 2x
15 = 3x
You can divide both sides by 3.
5 = x
According to the question, we are asked to find the < J K M.
So,
< J K M = 2x + 5
= 2 × 5 + 5
= 10 + 5
= 15
Hope this helps :-)
Answer:
See below
Step-by-step explanation:
Write the initial value problem and the solution for the downward velocity for an object that is dropped (not thrown) from a great height.
if v(t) is the speed at time t after being dropped, v'(t) is the acceleration at time t, so the the initial value problem for the downward velocity is
v'(t) = 10 - 0.1v(t)
v(0) = 0 (since the object is dropped)
<em> The equation v'(t)+0.1v(t)=10 is an ordinary first order differential equation with an integrating factor </em>
so its general solution is
To find C, we use the initial value v(0)=0, so C=-100
and the solution of the initial value problem is
what is the terminal velocity?
The terminal velocity is
How long before the object reaches 90% of terminal velocity?
90% of terminal velocity = 90 m/sec
we look for a t such that
How far has it fallen by that time?
The distance traveled after t seconds is given by
So, the distance traveled after 23.026 seconds is