Therefore, the bones were 6612.5 years old at the time they were discovered.
<h3><u>Half life</u></h3>
Given that the radioactive element carbon-14 has a half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:
- 50 = 5750
- 100 = 11500
- 57.5 = X
- 57.5 x 11500 / 100 = X
- 6612.5 = X
Therefore, the bones were 6612.5 years old at the time they were discovered.
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tail: 4.5x5/2=11.25, 4.5x3/2=6.75, 11.25+6.75=18
top fin: 3x2.25/2=3.375, 3x0.75/2=1.125, 3.375+1.125=4.5
bottom fin: 1x1/2= 0.5, 1x0.5/2=0.25, 0.5+0.25=0.75
nose: 4.5x2=9
between tail and body: 2.5x2=5
corners on body: 1.5x0.5/2x4=1.5
top and bottom on body: 0.5x5x2=5
body: 1.5x2+5=8, 2x2=4, 4x8=32
total: 18+4.5+0.75+9+5+1.5+5+32=75.75
total area of khianna's fish is 75.75 cm.
hope this helps
The three vectors 
, 
, and 
each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,
Then the cross product of these two results is normal to the plane:
Let 
be a point on the plane. Then the vector connecting to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that
which reduces to the equation of the plane,
Let 
. Then the volume of the region above 
and below the plane is
