Question

What is the first step of solving cos(42)=18/x
?



(1 point)
Responses

multiply both sides by 18
multiply both sides by 18

divide both sides by 18
divide both sides by 18

multiply both sides by x
multiply both sides by x

divide both sides by x
divide both sides by x
Question 2
What is the second step?(1 point)
Responses

divide both sides by the cos(42)
divide both sides by the cos(42)

multiply both sides by cos(42)
multiply both sides by cos(42)

divide both sides by x
divide both sides by x

divide both sides by 42
divide both sides by 42

x is by itself, so you put the other side of the equation in your calculator
x is by itself, so you put the other side of the equation in your calculator
Question 3
What answer do you get after you complete the problem solving for x?Round to 1 decimal place


(1 point)
x =

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Answer 1

Let's solve the equation step by step.

### Step 1
Starting with the equation:

\[
\cos(42) = \frac{18}{x}
\]

You need to isolate \( x \). The first step would be to **multiply both sides by x** to eliminate the fraction.

So the response for the first step is:

- **multiply both sides by x**

### Step 2
After multiplying both sides by \( x \), you get:

\[
x \cdot \cos(42) = 18
\]

Now, to isolate \( x \), you need to **divide both sides by cos(42)**.

So the response for the second step is:

- **divide both sides by the cos(42)**

### Step 3
After dividing, the equation becomes:

\[
x = \frac{18}{\cos(42)}
\]

Now, you would calculate this value using a calculator. Using the cosine of 42 degrees (in radians or degrees as needed depending on your calculator):

1. Calculate \( \cos(42^\circ) \) (approximately 0.7431).
2. Then, compute \( \frac{18}{0.7431} \).

This gives you \( x \approx 24.2 \) when rounded to one decimal place.

So the answer for \( x \) is:

- **x ≈ 24.2**

You can round as required by your assignment, but typically keep one decimal place.