<u>Answer</u>

**-3/√13**

<u>Explanation</u>

We are going to take angle ∅ to be at the origin (point (0,0)).

The point at (-2, -3) means, 2 units to the left (negative side of x-axis) and 3 units downwards (negative side of y-xis).

This will make a right triangle with a hypotenuse of √(2²+3²) = √13

The angle ∅ is in the 3rd quadrant where cosine is negative.

cosine = adjacent/hypotenuse

The exact answer for cos ∅ = **-2/√13**

To solve this problem you must apply the proccedure shown below:

1. You have the following logarithm:

<span>log(2)n=4

2. Therefore, you con rewrite it as below:

loga(b)=logb/loa

</span>

3. Therefore, you have:

log(2)n=4⇒log(n)/log(2)=4

4. Then, you obtain:

log(n)=4log(2)

5. Therefore, as you can see, the answer for the exercise shown above is the last option, which is:

** log(n)=4log(2)**

**Answer:**

1 mph

**Step-by-step explanation:**

EQUATIONS:

b+c = 7 mph

b-c = 5 mph

------------

Add the two to get:

2b = 12 mph

b = 6 mph (speed of the boat in still water)

c = 1 mph (speed of the current)

Because there is a square at the bottom of the figure, we can say that the angle is equal to 90 degrees (x+22). Thus, the equation would be

x+22 = 90

x = 68

The value of "x" is then equal to 68

**Answer:**

1 - 7

2 - 5

3- 27.5

**Step-by-step explanation:**