The correct way is to plug in the answer back into the equation and see if it results in the correct solution.
Answer:
S = 8
Each side of a face is 8 units.
Step-by-step explanation:
The surface area of the cube is 384 units.
One face of the cube has an area of s^2
A cube has 6 faces
6s^2 = 384 Divide by 6
s^2 = 384 / 6
s^2 = 64 Take the square root of both sides
sqrt(s^2) = sqrt(64)
s = 8
So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.

plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special
Answer:
x = 40
Step-by-step explanation:
Using similarity theorem, we have the following:

Solve for x

Cross multiply


Subtract 24x from each side


Divide both sides by -15
40 = x
x = 40
Answer:
905
Step-by-step explanation:
So your original equation is f(x) = x² + 5
First lets work with the stuff inside the parentheses.
f(5) = 5² + 5 = 30
So now you are finding,
f(f(5)) => f(30)
f(30) = 30² + 5 = 900 + 5 = 905