Y=12
The angles are 45°, 114°,105°,96° & 84°
Answer: 294√3
Explanation:
1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a
2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.
3) Then you can use Pythagorean theorem fo find a:
14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3
4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3
5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
74.40/3 friends= 24.80 for each friend. Simply division, easy to do on a calculator if you are allowed one.
Ignoring the "?" in your question:
If the "?" is a squared symbol that wasn't caught:
Use the quadratic formula
to get the solutions:
as you can see, the discriminant is negative, so the equation has no solution.
