Answer:
(a) Domain: x > 4
(b) Range: y < -2
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Range is the set of y-values that can be outputted by function f(x).
We see that our x-values span from 4 to infinity. Since it is an open dot, we cannot include it in our domain:
(-4, ∞)
We also see that our y-values span from -2 to negative infinity. Since it is an open dot, we cannot include it in our range:
(-∞, -2)
This solid object contains 8 sides.
The side that is facing you has a surface area:
The side exactly opposite this one has the same surface area - 2 sides with this surface area in total.
The bottom side has a surface area:

The side to your right has a surface area:

The side to your left has a surface area:

The side to your top left has a surface area:

The side beside the side to the top left has a surface area:

The side at the very top has a surface area:

Combined, the surface area is:

Therefore the answer is: C
I think you mean b is not equal to 0.
We have that 11.424242... = 11 + 0.424242...
Now let x = 0.424242...
Then 100x = 42.424242...
Now 99x = 100x - x = 42 so 99x = 42 and therefore x = 42/99
Now we can simplify 42/99 to 14/33
Now combining this we get 11.424242... = 11 + 14/33
= 363/33 + 14/33 = 377/33
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 