Question

PLEASE MATH HELP WILL GIVEBRAINLIEST AND 20 POINTS!!!

Answer 1

 Question 1:
 
 By definition, the area of ​​a regular hexagon, depending on its sides, is given by:
 $A = \frac{3 \sqrt{3}L^2}{2}$
 Where,
 L: side of the regular hexagon.
 Substituting values ​​we have:
 $A = \frac{3 \sqrt{3}12^2}{2}$
 $A = 374.1229744$
 Rounding to the nearest hundredth we have:
 $A = 374.12 cm ^ 2$ Answer:
 The area of ​​a regular hexagon with a side length of 12 cm is:
 $A = 374.12 cm ^ 2$

 Question 2:

 By definition, sides of a triangle 30-60-90 are given by:
 Largest side:$\sqrt{3}x$
 Smallest side: x
 hypotenuse: 2x
 Therefore, since the smallest side length measures 5 cm, then the hypotenuse is:
 $2x = 2 * 5 = 10 cm$
 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