If you want to make it easier, just skip it and dilate by 3 instead of by 1.5 and then by 2. The only reason I can instantly assume it's D, it's because on vertex P, (3, -4) is (9,-12), the only answer with +9.
Area of a circle is :

Where r is the radius.
To find r, you divide the diameter by 2

Then,
Answer:
D) arccsc (x) = arcsin (1/x)
Step-by-step explanation:
Here's how you can prove it: Consider a right triangle with hypotenuse 1 and a side length 1/x. If θ is the angle opposite of 1/x, then:
sin θ = 1/x
and
csc θ = x
Solving for θ:
θ = arcsin (1/x)
θ = arccsc (x)
Therefore:
arccsc (x) = arcsin (1/x)
Answer:
x=10
Step-by-step explanation:
The volume of the sphere is calculated through the equation,
V = 4πr³/3
Substituting,
900 in³ = 4πr³/3 ; r = 5.99 in
Then, solve for the surface area of the sphere by the equation, SA = 4πr²
SA = 4π(5.99 in)² = 450.80 in²
Thus, in the nearest whole number, SA was calculated to be nearly 451 in².