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VampirePrincess

  • one year ago

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

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  1. VampirePrincess
    • one year ago
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    this is the pic for this question plz help

  2. Michele_Laino
    • one year ago
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    we have to apply this formula: \[\Large {\text{area = }}\frac{{{\text{perimeter }} \times {\text{apothem}}}}{{\text{2}}}\]

  3. VampirePrincess
    • one year ago
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    2.6 is the height and 3 is the base so how would you the numbers in your equation

  4. Michele_Laino
    • one year ago
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    hint: perimeter= 6* side= 6*3=...

  5. Michele_Laino
    • one year ago
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    so, perimeter=...?

  6. Michele_Laino
    • one year ago
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    what is: 6*3=...?

  7. VampirePrincess
    • one year ago
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    18

  8. Michele_Laino
    • one year ago
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    ok! Now the requested area is: \[{\text{area = }}\frac{{{\text{perimeter }} \times {\text{apothem}}}}{{\text{2}}} = \frac{{18 \times 2.6}}{2} = ...\]

  9. VampirePrincess
    • one year ago
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    18*2.6=46.8 AND THEN divide that with 2 and you get 23.4

  10. Michele_Laino
    • one year ago
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    that's right!

  11. VampirePrincess
    • one year ago
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    so the answer is 23.4?

  12. Michele_Laino
    • one year ago
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    yes! the area is 23.4 cm^2

  13. VampirePrincess
    • one year ago
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    can you help me on one more?

  14. Michele_Laino
    • one year ago
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    ok!

  15. VampirePrincess
    • one year ago
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    What is the area of the figure? A. 279 in2 B. 342 in2 C. 389 in2 D. 398 in2

  16. Michele_Laino
    • one year ago
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    we can view your figure as the union of two rectangles, like this: |dw:1433926182474:dw|

  17. Michele_Laino
    • one year ago
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    now the area of the rectangle A is: A_1=10*18=...

  18. VampirePrincess
    • one year ago
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    Do i *10 and 18?

  19. VampirePrincess
    • one year ago
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    if i do the answer is 180

  20. Michele_Laino
    • one year ago
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    ok! the area of rectabgle B is: A_2=11*9=...

  21. Michele_Laino
    • one year ago
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    rectangle*

  22. VampirePrincess
    • one year ago
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    that is 99. do i add 99 and 180?

  23. Michele_Laino
    • one year ago
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    yes! what do you get?

  24. VampirePrincess
    • one year ago
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    279

  25. Michele_Laino
    • one year ago
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    that's right!

  26. VampirePrincess
    • one year ago
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    so the final answer is 279

  27. Michele_Laino
    • one year ago
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    yes! The requested area is 279 inches^2

  28. VampirePrincess
    • one year ago
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    can you help me in one last one?

  29. Michele_Laino
    • one year ago
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    ok!

  30. VampirePrincess
    • one year ago
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    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

  31. Michele_Laino
    • one year ago
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    each side of a triangle has to be greater than the difference between other two sides. That is a general property

  32. Michele_Laino
    • one year ago
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    that property is checked using the sides which you have povided?

  33. VampirePrincess
    • one year ago
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    i think the answer is A.

  34. Michele_Laino
    • one year ago
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    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

  35. VampirePrincess
    • one year ago
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    i will tell you the ones i got wrong if i got any ok the one that you helped me on ok

  36. Michele_Laino
    • one year ago
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    ok!

  37. VampirePrincess
    • one year ago
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    i got them all right the ones you helped me on

  38. Michele_Laino
    • one year ago
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    :)

  39. Michele_Laino
    • one year ago
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    congratulations!

  40. VampirePrincess
    • one year ago
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    thank you very much

  41. Michele_Laino
    • one year ago
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    :)

  42. VampirePrincess
    • one year ago
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    is this my second time giving you a medal on this questions?

  43. Michele_Laino
    • one year ago
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    you gave me only one medal to this question

  44. VampirePrincess
    • one year ago
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    oh ok

  45. VampirePrincess
    • one year ago
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    bye <_> bonne nuit mon ami :)

  46. VampirePrincess
    • one year ago
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    @Michele_Laino

  47. Michele_Laino
    • one year ago
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    bye :)

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