Let's solve the equation step by step:
Question 1: What is the first step of solving \( \cos(42) = 18x \)?
To isolate \( x \), you should divide both sides by 18. Therefore, the correct first step is:
Divide both sides by 18.
Question 2: What is the second step?
After dividing both sides by 18, you would have:
\[ x = \frac{\cos(42)}{18} \]
Now, to solve for \( x \), which is our goal, you need to calculate the cosine of 42 degrees. The correct next step, therefore, is:
Multiply both sides by cos(42). (This is implied by the earlier division step.)
However, since you already have \( x = \frac{\cos(42)}{18} \) after dividing by 18, directly calculating it means:
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.
To find the value of \( x \):
- Calculate \( \cos(42) \).
- Divide that by 18.
Using a calculator:
- \( \cos(42) \approx 0.6691 \) (in radians or degrees, make sure it's in degrees).
- Then, \( x \approx \frac{0.6691}{18} \approx 0.03717 \).
Rounding this to 1 decimal place would yield:
\( x \approx 0.0 \).
Note: By calculating the cosine of 42 degrees and dividing by 18 again yields \( x \approx 0.037, \) which rounds to 0.0. However, if you're seeing a different desired result, you may want to double-check the rounding precision or steps for calculation.
Thus, it would look like:
\[ x \approx 0.0 \]
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