162/9 = 18 water bottles per case

If
, then we can immediately cancel the factors of
:

Factorize the numerator and denominator:


Next, if
, then

5∧2(exponent of 2) - 1 =24
Answer:
option C. 
Step-by-step explanation:
we know that
The volume of the triangular pyramid is equal to

where
B is the area of the triangular base
h is the height of the pyramid
In this problem we have


substitute in the formula

Step 
<u>Find the length of the side MN</u>
we know that
Applying the Pythagorean Theorem

Solve for MN

in this problem

Substitute in the formula above



Step 
<u>Find the value of cos (M)</u>
we know that
in the right triangle MNL


Substitute



therefore
The answer is
The value of cos(M) is equal to 