Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where
and
are 2 legs of the triangle, and
is the hypotenuse, aka the longest side of any triangle:

We know
and
and want 



Therefore,
is approximately 
Answer:
45
Step-by-step explanation:
3 over 2 so then you take the 30 over 1 then the 2 at the bottom you divide the 30 and the 2 and you get 15 then you take the 15 times 3 and that is your answer 45.
Answer:
Option C.
Step-by-step explanation:
If k<0, the function g(x) = f(x) + k represents the function f(x) shifted k units downwards.
In this case, given that k=-3 (k<0). The graph was shifted 3 units down. Therefore, the correct option is Option C.
Answer: 
Step-by-step explanation:
1. Let's write the following formula for calculate the area of a rectangle:

Where
is the lenght (the longer side) and
is the width (the shorter side).
2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

3. So, you must substitute
into the equation for calculate the area of the rectangle and then you must simplify.
4. Then, you obtain the following expression:

Answer:
relate the values and find the correct answer