Answer:
Step-by-step explanation:
Given
inclination is
Mountain is high
Cable is tied from the base of the mountain
From the figure, length of the shortest path is
It is given by using Pythagoras theorem
A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for height as a function of time is
2 answers:
9514 1404 393
Answer:
16 seconds
Step-by-step explanation:
You want to find t such that h(t) = 0
h(t) = -16t^2 +4096 . . . equation for height
0 = -16t^2 +4096 . . . . .equation for height = 0
16t^2 = 4096 . . . . add 16t^2
t^2 = 256 . . . . . . . divide by 16
t = 16 . . . . . . . . . . . take the positive square root
It will take 16 seconds for the camera to hit the ground.
You might be interested in
Answer:
12x -y = -87
Step-by-step explanation:
You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-9 -3)/(-8 -(-7))(x -(-7)) +3
y = (-12/-1)(x +7) +3
y = 12x +84 +3
-12x +y = 87 . . . . . subtract the x-term
12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)
The simplest interpretation would go a little something like this:
We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with
Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have
So, the inequality representing this situation would be
And that would probably be fine for this problem.
<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?
We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with
Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have
So, the inequality representing this situation would be
And that would probably be fine for this problem.
<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?
The answers tell you the y-intercept is zero, so all you need to do is choose the appropriate slope. Since y/x = -4, ...
.. selection A is appropriate.
.. selection A is appropriate.