
warm
Having a pleasantly high temperature that lies between cool and hot.
Die Suppe ist noch schön warm.
The soup is still nice and warm.
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Having a pleasantly high temperature that lies between cool and hot.
Die Suppe ist noch schön warm.
The soup is still nice and warm.

Referring to clothing: protecting well against the cold and retaining body heat.
Im Winter solltest du immer eine warme Jacke tragen.
In winter, you should always wear a warm jacket.

Warm-hearted, friendly, and emotional in dealing with other people.
Wir wurden mit einem sehr warmen Lächeln empfangen.
We were welcomed with a very warm smile.

Referring to colors: shades in the range of yellow, orange, and red that create a cozy atmosphere.
Das Wohnzimmer ist in warmen Erdtönen gestrichen.
The living room is painted in warm earth tones.

to warm up to
To slowly get used to a person, situation, or thing and build a positive relationship with it.
Ich bin mit meinem neuen Job noch nicht richtig warm geworden.
I haven't really warmed up to my new job yet.
'Warm' belongs to a word family related to temperature. Related words are the noun 'die Wärme' (warmth) and the verbs 'erwärmen' (to warm something up) or 'sich aufwärmen' (to warm up before sports).
Die Wärme der Sonne fühlt sich gut an auf der Haut.
The warmth of the sun feels good on the skin.
In connection with clothing, 'warm' is often used in the instruction 'Zieh dich warm an!' (Dress warmly!). This is very common advice when it is cold outside.
Es schneit! Zieh dich warm an, bevor du rausgehst.
It's snowing! Dress warmly before you go outside.
'Warm' can be used metaphorically for feelings and social interactions. It then describes a warm-hearted, friendly, and welcoming atmosphere or person.
Sie hat eine sehr warme und freundliche Ausstrahlung.
She has a very warm and friendly presence.
The adjective 'warm' is also used to describe colors. 'Warme Farben' (warm colors) are typically shades of yellow, orange, and red that are perceived as cozy and inviting.
Für das Schlafzimmer haben wir warme Farbtöne ausgewählt.
We chose warm color tones for the bedroom.
The expression 'mit jemandem/etwas warm werden' means to slowly get used to a person or situation. It is very often used in the negative: 'nicht warm werden' (not to warm up to).
Mit meinem neuen Kollegen bin ich noch nicht richtig warm geworden.
I haven't really warmed up to my new colleague yet.
hot
“Warm” describes a pleasantly high temperature, while “heiß” describes a significantly higher temperature and often suggests that the drink cannot be consumed immediately. “Warm” is appropriate for a pleasantly tempered drink, while “heiß” is used for a very hot drink.

Der Tee ist nur noch warm und lässt sich sofort trinken.
The tea is only warm now and can be drunk immediately.
Der Tee ist noch heiß, deshalb warte ich mit dem Trinken.
The tea is still hot, so I’m waiting before drinking it.