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GeometryQuestion and Answers: Page 14

Question Number 212214    Answers: 1   Comments: 1

Find tanθ.

$$\mathrm{Find}\:\mathrm{tan}\theta. \\ $$

Question Number 212179    Answers: 2   Comments: 0

Question Number 211992    Answers: 1   Comments: 2

Question Number 211851    Answers: 0   Comments: 1

Question Number 211730    Answers: 0   Comments: 0

Question Number 211694    Answers: 0   Comments: 4

Question Number 211691    Answers: 1   Comments: 0

Question Number 213341    Answers: 2   Comments: 3

Question Number 213340    Answers: 0   Comments: 3

Question Number 211603    Answers: 3   Comments: 0

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.

$$\mathrm{1}.\mathrm{Given}\:\mathrm{a}\:\mathrm{regular}\:\mathrm{tetrahedron}\:\boldsymbol{{ABCD}} \\ $$$$\mathrm{with}\:\mathrm{vertices}\:\boldsymbol{{A}}\left(\mathrm{0},\mathrm{0},\mathrm{0}\right)\boldsymbol{{B}}\left(\boldsymbol{{a}},\mathrm{0},\mathrm{0}\right), \\ $$$$\boldsymbol{{C}}\left(\mathrm{0},\boldsymbol{{a}},\mathrm{0}\right),\boldsymbol{\mathrm{and}}\:\boldsymbol{{D}}\left(\mathrm{0},\mathrm{0},\boldsymbol{{a}}\right).\mathrm{Calculate}\:\mathrm{the} \\ $$$$\:\mathrm{volume}\:\boldsymbol{{V}}\:\:\mathrm{and}\:\mathrm{the}\:\mathrm{surface}\:\mathrm{area}\:\boldsymbol{{S}}\:\boldsymbol{\mathrm{of}} \\ $$$$\mathrm{this}\:\mathrm{tetrahedron}. \\ $$

Question Number 211537    Answers: 3   Comments: 0

Question Number 211340    Answers: 2   Comments: 1

Question Number 211323    Answers: 2   Comments: 1

Question Number 211265    Answers: 0   Comments: 0

Question Number 211235    Answers: 2   Comments: 1

Question Number 211232    Answers: 1   Comments: 0

Question Number 211277    Answers: 0   Comments: 4

Question Number 211188    Answers: 1   Comments: 0

Question Number 211190    Answers: 3   Comments: 0

Question Number 211167    Answers: 2   Comments: 1

Question Number 211145    Answers: 1   Comments: 3

Question Number 211127    Answers: 0   Comments: 7

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?

Question Number 211118    Answers: 0   Comments: 3

Question Number 211079    Answers: 1   Comments: 0

Question Number 211058    Answers: 1   Comments: 1

Question Number 211016    Answers: 3   Comments: 1

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