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
Answer:
620.14
Step-by-step explanation:
Original Equation:
Calculate exponents
Simplify:
Add like terms
Divide both sides by 7.012
Let H = Hailey, M = Megan, B = Bailey
H + M + B = 458
167 + M + B = 458
M + B = 291
152 ≤ M ≤ 164
If M = 152, B = 139
If M = 164, B = 127
Thus,
$127 ≤ B ≤ 139
The distance between (5,2) and (5,18) is (0,16)
