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Sav [38]
2 years ago
15

A regular hexagon has an area of 750.8cm². The side length is 17cm. Find the apothem.

Mathematics
1 answer:
larisa86 [58]2 years ago
4 0
The formula for determining the apothem of regular hexagon is s/2tan(180/n) , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.
So, apothem = 17/2tan(180/n)
= 17/2tan(30)
= 17/1.15
= 14.78 units
Therefore, the measure of apothem of the regular hexagon is 14.7 units.
B is the right answer.
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The values are 5i, -4, 2√2i, -16, -50i and i.

<h3>What is an imaginary number?</h3>

An imaginary number is a number that, when squared, has a negative result, and is defined by its property i² = −1 or i = √-1.

Given are numbers,

1) √-25 = √25*√-1 = 5i

2) √-2√-2 = 2i*2i = 4i² = -4

3) √-8 = √8*√-1 = 2√2i

4) (4i)² = 16*i² = -16

5) (2i)(5i)² = 2i*25i² = 50i³ = -50i

6) i²*i³*i^{4} = -1*(-i)*1 = i

Hence, The values are 5i, -4, 2√2i, -16, -50i and i.

For more reference imaginary number, click;

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1 year ago
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Read 2 more answers
A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
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The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

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