The plane will make an angle
with the runway.
Explanation:
Given that the plane is flying at an altitude of 11 miles and is 193 miles from the runway, as measured from the ground.
We need to determine the angle that the plane will make with the runway.
From the given measurements, we can see that it is a right angled triangle. Hence, let us use the tangent formula to determine the angle.
The formula for the tangent is given by

Where
and
Substituting these values in the above equation, we get,

Dividing, we get,

Taking
on both sides of the equation, we get,

Simplifying, we have,

Hence, the angle that the plane will make with the runway is 
Answer:
there are 11 blue balloons and 16 yellow balloons
Answer:
It is 5/4
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given that:
The paraboloid surface z = 6x² + y² and the parabolic cylinder y = 5x²
Let assume that:
x = t
then from y = 5x², we have:
y = 5t²
Now replace y = 5t² and x = t into z = 6x² + y²
z = 6t² + (5t²)²
z = 6t² + 25t⁴
Hence, the curve of intersection is illustrated by the set of equations:
x = t, y = 5t², and z = 6t² + 25t⁴
As a vector equation:

Slope of 0 would be the answer