VampirePrincess
  • VampirePrincess
What is the area of the regular hexagon with a side length of 3 cm and an apothem of 2.6 cm? A. 15.6 cm2 B. 23.4 cm2 C. 46.8 cm2 D. 31.2 cm2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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VampirePrincess
  • VampirePrincess
this is the pic for this question plz help
Michele_Laino
  • Michele_Laino
we have to apply this formula: \[\Large {\text{area = }}\frac{{{\text{perimeter }} \times {\text{apothem}}}}{{\text{2}}}\]
VampirePrincess
  • VampirePrincess
2.6 is the height and 3 is the base so how would you the numbers in your equation

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More answers

Michele_Laino
  • Michele_Laino
hint: perimeter= 6* side= 6*3=...
Michele_Laino
  • Michele_Laino
so, perimeter=...?
Michele_Laino
  • Michele_Laino
what is: 6*3=...?
VampirePrincess
  • VampirePrincess
18
Michele_Laino
  • Michele_Laino
ok! Now the requested area is: \[{\text{area = }}\frac{{{\text{perimeter }} \times {\text{apothem}}}}{{\text{2}}} = \frac{{18 \times 2.6}}{2} = ...\]
VampirePrincess
  • VampirePrincess
18*2.6=46.8 AND THEN divide that with 2 and you get 23.4
Michele_Laino
  • Michele_Laino
that's right!
VampirePrincess
  • VampirePrincess
so the answer is 23.4?
Michele_Laino
  • Michele_Laino
yes! the area is 23.4 cm^2
VampirePrincess
  • VampirePrincess
can you help me on one more?
Michele_Laino
  • Michele_Laino
ok!
VampirePrincess
  • VampirePrincess
What is the area of the figure? A. 279 in2 B. 342 in2 C. 389 in2 D. 398 in2
Michele_Laino
  • Michele_Laino
we can view your figure as the union of two rectangles, like this: |dw:1433926182474:dw|
Michele_Laino
  • Michele_Laino
now the area of the rectangle A is: A_1=10*18=...
VampirePrincess
  • VampirePrincess
Do i *10 and 18?
VampirePrincess
  • VampirePrincess
if i do the answer is 180
Michele_Laino
  • Michele_Laino
ok! the area of rectabgle B is: A_2=11*9=...
Michele_Laino
  • Michele_Laino
rectangle*
VampirePrincess
  • VampirePrincess
that is 99. do i add 99 and 180?
Michele_Laino
  • Michele_Laino
yes! what do you get?
VampirePrincess
  • VampirePrincess
279
Michele_Laino
  • Michele_Laino
that's right!
VampirePrincess
  • VampirePrincess
so the final answer is 279
Michele_Laino
  • Michele_Laino
yes! The requested area is 279 inches^2
VampirePrincess
  • VampirePrincess
can you help me in one last one?
Michele_Laino
  • Michele_Laino
ok!
VampirePrincess
  • VampirePrincess
How many triangles can be constructed with side lengths of 7 cm, 10 cm, and 18 cm? A. 0 B. 1 C. 2 D. an infinite number
Michele_Laino
  • Michele_Laino
each side of a triangle has to be greater than the difference between other two sides. That is a general property
Michele_Laino
  • Michele_Laino
that property is checked using the sides which you have povided?
VampirePrincess
  • VampirePrincess
i think the answer is A.
Michele_Laino
  • Michele_Laino
ok! the answer is right. This is the explanation: we have: 18-10=8 and 8 is greater than 7, so the above property is not checked
VampirePrincess
  • VampirePrincess
i will tell you the ones i got wrong if i got any ok the one that you helped me on ok
Michele_Laino
  • Michele_Laino
ok!
VampirePrincess
  • VampirePrincess
i got them all right the ones you helped me on
Michele_Laino
  • Michele_Laino
:)
Michele_Laino
  • Michele_Laino
congratulations!
VampirePrincess
  • VampirePrincess
thank you very much
Michele_Laino
  • Michele_Laino
:)
VampirePrincess
  • VampirePrincess
is this my second time giving you a medal on this questions?
Michele_Laino
  • Michele_Laino
you gave me only one medal to this question
VampirePrincess
  • VampirePrincess
oh ok
VampirePrincess
  • VampirePrincess
bye <_> bonne nuit mon ami :)
VampirePrincess
  • VampirePrincess
@Michele_Laino
Michele_Laino
  • Michele_Laino
bye :)

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