In a book I found these sentences:
Solve the assignments using what you have learned.
Tom showed up wearing a suit.
I can understand the meaning. But I do not know why using and wearing are used without a preposition like by or with.
I have learned participles are used as adjectives or nouns. But in the cited sentences they seem like adverbs.
I thought the prepositions for using and wearing is omitted because the meanings are very obvious. But I'm not certain.
And I also considered 2 like this.
Tom wearing a suit showed up. This seems to be clear grammatically to me. But it isn't smooth.
Are using and wearing used as adverbs? If so, can participles be used as adverbs? And if they aren't adverbs please explain how they are used grammatically to me.
I'm an ESL learner. If this is solved, then it will be much help for me to learn English continuously.