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1.Given a regular tetrahedron ABCD with vertices A(0,0,0)B(a,0,0), C(0,a,0),and D(0,0,a).Calculate the volume V and the surface area S of this tetrahedron.

$1 . Given a regular tetrahedron A B C D$ $with vertices A (0, 0, 0) B (a, 0, 0),$ $C (0, a, 0), and D (0, 0, a) . Calculate the$ $volume V and the surface area S of$ $this tetrahedron .$

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Two circles are assumed that have the same center. How many circles are there that are tangent to both circles and pass through the assumed point?

Two circles are assumed that have the same center. How many circles are there that are tangent to both circles and pass through the assumed point?

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at what times, if exist, are the angles betwen the hour hand, the minute hand and the second hand of a clock exactly 120°? assume that the hands of the clock move uniformly.

$a t w h a t t i m e s, i f e x i s t, a r e t h e$ $a n g l e s b e t w e n t h e h o u r h a n d, t h e$ $m i n u t e h a n d a n d t h e s e c o n d h a n d$ $o f a c l o c k e x a c t l y 120 ° ?$ $a s s u m e t h a t t h e h a n d s o f t h e c l o c k$ $m o v e u n i f o r m l y .$

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