PLEASE MATH HELP WILL GIVEBRAINLIEST AND 20 POINTS!!!1.What is the area of a regular hexagon with a side length of 12 cm?Enter your answer in the box.Round only your final answer to the nearest hundredth.2.In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?3.What is the exact value of sin 30° ?Enter your answer, as a simplified fraction, in the box.
Question
Answer:
Question 1:By definition, the area of a regular hexagon, depending on its sides, is given by:
[tex]A = \frac{3 \sqrt{3}L^2}{2} [/tex]
Where,
L: side of the regular hexagon.
Substituting values we have:
[tex]A = \frac{3 \sqrt{3}12^2}{2} [/tex]
[tex]A = 374.1229744 [/tex]
Rounding to the nearest hundredth we have:
[tex]A = 374.12 cm ^ 2 [/tex] Answer:
The area of a regular hexagon with a side length of 12 cm is:
[tex]A = 374.12 cm ^ 2 [/tex]
Question 2:
By definition, sides of a triangle 30-60-90 are given by:
Largest side:[tex] \sqrt{3}x[/tex]
Smallest side: x
hypotenuse: 2x
Therefore, since the smallest side length measures 5 cm, then the hypotenuse is:
[tex]2x = 2 * 5 = 10 cm [/tex]
Answer:
the length of the hypotenuse when the shorter leg is 5 cm is:
10 cm
Question 3:
The first thing you should know for this case, is that angle 30, is a notable angle.
Therefore, the values of the sine are defined for notables angles.
The notable angles are:
0, 30, 45, 60, 90
Therefore, the value of sine (30) is given by:
sine (30) = 1/2
Answer:
the exact value of sin 30 ° is:
sine (30) = 1/2
solved
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