Answer:
h = 57.73 m
Step-by-step explanation:
We have,
The angle of elevation of the top of tower to be 30 degree
James is 100 m away horizontally from the base of the tower.
It is required to find the height of the tower.
Here, angle is 30 degree
Base, b = 100 m
Let h is the height of the tower. The relation between base and height is given by :

So, the height of the tower is 57.73 m.
Answer:
k = 30, 
Step-by-step explanation:
Since
is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

Then, replacing the derivatives in the equation we have:

Since
is a positive function, we have that
.
Now, consider a general solution
, then, by calculating the derivatives and replacing them in the equation, we get

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.
Therefore, the general solution is

The train traveled 60 miles per hour since 360 miles divided by 6 hours gives you 60 mph
Explanation:
Divide the negative 16 by 2= -8
Then square -8
So the missing constant is 64
The perfect square would be (x-8)^2
4 hundreds = 4 100s = 4(100) = 400
400 is another way for writing four hundreds.
Hope this helps!