Answer:
<h2>The right answer is 415.4 cubic feet.</h2>
Step-by-step explanation:
As you can observe in the image attached, the composite figure is formed by a square prism and a pyramid on top.
We need to find the volum of each part separately.
<h3> Square prism.</h3>

<h3>Square pyramid.</h3>
First, we need to find the height of the pyramid. We already know the height of each triangular face of the pyramid, which divides equally the side.
Let's use Pythagorean's Theorem to find the height of the pyramid.

The height is 4.3 feet, approximately.
Now, we find the volume of the pyramid

The sum of both figures represents the total volume of the composite figure

Therefore, the right answer is 415.4 cubic feet.
Answer:
a. A customer earns 1 free night per 10 nights stayed.
Step-by-step explanation:
The missing function is:
f(x) = x/10
The missing options are:
<em>
a. A customer earns 1 free night per 10 nights stayed. </em>
<em>
b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.
</em>
<em>
c.A customer earns x – 10 free nights for every 10 nights stayed. </em>
<em>
d. A customer earns 10 free nights after x number of nights stayed.
</em>
The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:
f(10) = 10/10 = 1
which means 10 nights are equivalent to 1 free night.
interior angle of n-gon formula: 180 - ( 360 / n)
a 30 sided polygon, so in this case n = 30
so
interior angle = 180 - ( 360 / 30)
interior angle = 180 - 12
interior angle = 168
answer
168 degrees
<h3>
Answer: Choice C</h3>
Work Shown:

This matches with choice C. The imaginary 'i' term is not under the square root.