Answer:
The resultant velocity of the airplane is 213.41 m/s.
Step-by-step explanation:
Given that,
Velocity of an airplane in east direction, 
Velocity of wind from the north, 
Let east lies in the direction of the positive x-axis and north in the direction of the positive y-axis.
We need to find the resultant velocity of the airplane. Let v is the resultant velocity. It can be calculated as :
v = 213.41 m/s
So, the resultant velocity of the airplane is 213.41 m/s. Hence, this is the required solution.
Answer:36
Step-by-step explanation:
I actually just answered this problem on a website the answer is 36.
Given: C(N) = 15,000 + 8000N <span>
In the above equation simply substitute:
N(t) = 100t - 5t^2
for N
</span>
<span>Therefore:
C(t) = 15,000 + 8000{ 100t-5t^2 }
C(t) =15,000 + 800,000t - 40,000t^2.</span>
at t = 5
C(5) = 15,000 + 800,000*5
- 40,000*(5)^2
<span>C(5) = 3,015,000</span>
After a reflection across line y=x the vertices of triangle P’Q’R’ are as follows
P’= (-1,-7)
Q’= (-8-7)
R’= (-3,3)
Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
