Answer: Last option.
Step-by-step explanation:
Observe the base of the pyramid, which is a regular hexagon. You can see that there is a right triangle.
The area of the triangle can be calculated with this formula:
Where "b" is the base and "h" is the height.
You can say that the apothem is the height of the right triangle, then, you need to find the base applying the Pythagorean Theorem:
Then, the area of the triangle is:
Since the base of the pyramid is a regular hexagon, then you can multiply by 12 the area of the right triangle calculated above, in order to find the area of the hexagon. Then you get:
<span>$152.51
y o u r a n s w e r i s a b o v e
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The first inequality, y + 2x > 3, is y>-2x+3 in slope-intercept form.
The first inequality, y + 2x > 3, has a dashed boundary line.
The second inequality, y 3.5x − 5, has a solid <span>boundary line.
</span>Both inequalities have a solution set that is shaded above <span>their boundary lines.
</span>1, 5 <span>is a point in the solution set of the system of inequalities.
</span>
Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,
MatroZZZ [7]
Answer:
will be the correct formula for the given sequence.
Step-by-step explanation:
The given sequence is 1, 8, 64, 512...........
The given sequence is a geometric sequence having a common ratio (r) of
r = 
r = 
Since explicit formula of a geometric sequence is given by
where 
= nth term of the sequence
a = first term of the sequence
r = common ratio of the successive term to the previous term
Now we plug values of a and r in the formula to get the explicit formula for the given sequence.
Therefore, if Bernardo is saying that the formula of the sequence is
h(n) = 
then he is correct.
