Question
What is the first step of solving cos(42)=18x
?
(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 =
Skip to navigation
?
(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 =
Skip to navigation
Answers
GPT-4o mini
Let's go step by step to solve the equation \( \cos(42) = 18x \).
### Question 1: What is the first step of solving \( \cos(42) = 18x \)?
To isolate \( x \), you need to get rid of the coefficient \( 18 \). The correct first step is to **divide both sides by 18**.
**Answer:** divide both sides by 18
---
### Question 2: What is the second step?
After dividing by 18, the equation becomes \( \frac{\cos(42)}{18} = x \). At this point, you can simply evaluate \( x \). Therefore, there is no need for further operations with the equation itself. You can directly find \( x \) using a calculator.
So, the correct option is: **x is by itself, so you put the other side of the equation in your calculator**.
**Answer:** 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.
Now we compute:
1. Calculate \( \cos(42) \).
- Using a calculator, we find \( \cos(42) \approx 0.7431 \) (ensure your calculator is in degrees).
2. Now substitute this value back into the equation:
\[
x = \frac{\cos(42)}{18} = \frac{0.7431}{18} \approx 0.0413
\]
3. Finally, rounding \( 0.0413 \) to one decimal place gives:
\[
x \approx 0.0
\]
**Answer:** \( x = 0.0 \) (rounded to one decimal place)
### Question 1: What is the first step of solving \( \cos(42) = 18x \)?
To isolate \( x \), you need to get rid of the coefficient \( 18 \). The correct first step is to **divide both sides by 18**.
**Answer:** divide both sides by 18
---
### Question 2: What is the second step?
After dividing by 18, the equation becomes \( \frac{\cos(42)}{18} = x \). At this point, you can simply evaluate \( x \). Therefore, there is no need for further operations with the equation itself. You can directly find \( x \) using a calculator.
So, the correct option is: **x is by itself, so you put the other side of the equation in your calculator**.
**Answer:** 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.
Now we compute:
1. Calculate \( \cos(42) \).
- Using a calculator, we find \( \cos(42) \approx 0.7431 \) (ensure your calculator is in degrees).
2. Now substitute this value back into the equation:
\[
x = \frac{\cos(42)}{18} = \frac{0.7431}{18} \approx 0.0413
\]
3. Finally, rounding \( 0.0413 \) to one decimal place gives:
\[
x \approx 0.0
\]
**Answer:** \( x = 0.0 \) (rounded to one decimal place)