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1 year ago

A hexagon has an area of 216 square root 3 and an apothem of 6 square root 3 find the length of each side of the hexagon

Mathematics

1 answer:

viva [34]1 year ago

4 0

Answer:

12 units

Step-by-step explanation:

area of hexagon = .5*a*p

p = perimeter of hexagon=6s

216√3 = .5*6√3*6s

72= 6s

s=12

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3 years ago

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2 years ago

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2 years ago

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A circle has a circumference of 28.26cm. what is the area of the circle? show work please

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3 years ago

Please help and show all work so I can fully understand it, thanks.

seraphim [82]

Answer:

$\frac{1}{m-4}$

Step-by-step explanation:

$\frac{\frac{4m-5}{m^4 -7m^3 +12m^2}}{\frac{4m-5}{m^3 -3m^2}}$

Factor the equation:

$\frac{\frac{4m-5}{m^2(m^2 -7m+12)}}{\frac{4m-5}{m^2(m-3)}}$

$\frac{\frac{4m-5}{m^2(m-3)(m-4)}}{\frac{4m-5}{m^2(m-3)}}$

Rewrite to suit the format of multiplying two fractions. Remember, dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second. A reciprocal of a fraction is when one switches the place of the numerator and the denominator, that is, the value on top (numerator), and the value on the bottom (denominator).

$\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}$

Simplify, take out common terms that are found on both the numerator and denominator

$\frac{4m-5}{m^2(m-3)(m-4)}*\frac{m^2(m-3)}{4m-5}$

$\frac{1}{m-4}$

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3 years ago