If (he)={(0,1),(2,3),(-4,1)}, find h^-1(x)
1 answer:
You might be interested in
Answer:
The correct answer is option 1. cubic units.
Step-by-step explanation:
The formula for the volume, V of a right angled cone is given as:
Where,
is the radius of the circular base of the cone.
is the height of the cone.
We are given that height is twice of the radius of its base.
Let the radius of base = units
Now, As per the question statement,
The height of cone= units
Putting the values of in equation (1) to find the volume:
Hence, the correct answer is option 1. cubic units.
Answer: Choice B. sqrt(2)
Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how
tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1
Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long
a^2 + b^2 = c^2
(1)^2 + (1)^2 = c^2
2 = c^2
c^2 = 2
c = sqrt(2)
The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with
sec(theta) = hypotenuse/adjacent
sec(theta) = AC/AB
sec(theta) = sqrt(2)/1
sec(theta) = sqrt(2) which is why choice B is the answer
