The PCGCC prides itself on its "nouveau" architecture. In particular, one of the reception halls is a glass pyramid. The pyramid looks like two tetrahedrons pasted together: it has four sides and a square base. It was constructed according to the following equations. x+y+ 21 :=1, with x, y, and z 20 10 1 z=1, with-x, y, and z 20 10 21 1 N=1, with x, -y, and z 20 21 1 1 z=1, with-x, - y, and z 20 21 a) Draw the reception hall on a 3-dimensional Cartesian coordinate system. b) Determine the height of the reception hall.

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together: it has four sides and a square base. It was constructed according to the
reception halls is a glass pyramid. The pyramid looks like two tetrahedrons pasted
PCGCC prides itself on its "nouveau" architecture. In particular, one of the
following equations.
x+
21
1
y+
10
z= 1, with x, y, and z 20
21
1
x+ y+
21
1
z=1, with-x, y, and z 20
10
21
1
1
1
%3D
10
z=1, with x, -y, and z 20
y+
21
21
1
y +
z=1, with-x, -y, and z 20
21
21
10
a) Draw the reception hall on a 3-dimensional Cartesian coordinate system.
b) Determine the height of the reception hall.
c) You need to hire a company to wash the glass of the reception hall. You get two
quotes: the first company will wash the windows for $1,000; the second company
should
will wash the windows for $0.95 per square metre. Which company
if the quality of both companies is equivalent?
you
use,
Transcribed Image Text:together: it has four sides and a square base. It was constructed according to the reception halls is a glass pyramid. The pyramid looks like two tetrahedrons pasted PCGCC prides itself on its "nouveau" architecture. In particular, one of the following equations. x+ 21 1 y+ 10 z= 1, with x, y, and z 20 21 1 x+ y+ 21 1 z=1, with-x, y, and z 20 10 21 1 1 1 %3D 10 z=1, with x, -y, and z 20 y+ 21 21 1 y + z=1, with-x, -y, and z 20 21 21 10 a) Draw the reception hall on a 3-dimensional Cartesian coordinate system. b) Determine the height of the reception hall. c) You need to hire a company to wash the glass of the reception hall. You get two quotes: the first company will wash the windows for $1,000; the second company should will wash the windows for $0.95 per square metre. Which company if the quality of both companies is equivalent? you use,
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