
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
What is the number of degrees in the smaller angle formed by the hour and minute hands of a clock at 3:40? Express your answer as a decimal to the nearest tenth.
[asy]
size(200);
draw(Circle((0,0),5),linewidth(1.2));
pair[] mins;
for(int i = 0; i < 60; ++i){

mins[i] = 4.5*dir(-6*i + 90);

dot(mins[i]);
}
for(int i = 1; i <= 12; ++i){

label((string)i,mins[5*i % 60],dir(-30*i - 90));
}
fill(Circle((0,0),0.25));
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user