Sam counted Out Loud by 6's Jorge counted Out Loud by 8s what are the first three numbers both Sam and George said
1 answer:
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Answer:
The approximate are of the inscribed disk using the regular hexagon is
Step-by-step explanation:
we know that
we can divide the regular hexagon into 6 identical equilateral triangles
see the attached figure to better understand the problem
The approximate area of the circle is approximately the area of the six equilateral triangles
Remember that
In an equilateral triangle the interior measurement of each angle is 60 degrees
We take one triangle OAB, with O as the centre of the hexagon or circle, and AB as one side of the regular hexagon
Let
M ----> the mid-point of AB
OM ----> the perpendicular bisector of AB
x ----> the measure of angle AOM
In the right triangle OAM
so
we have
substitute
Find the area of six equilateral triangles
simplify
we have
substitute
Therefore
The approximate are of the inscribed disk using the regular hexagon is
Well, since we know is a geometric sequence, we can always get the common ratio of it by simply dividing one value by the one behind it... so let's do so, with say hmm -32 and 8 -32/8 = -4 <-- our common ratio
the first term is -2
the first term is -2