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
There are 4 US quarts in a gallon.
Hope I helped!!!! :)
Answer:
1. x = 36 equation is x + 2x + 9 = 117, then solve for x
2. x = 50 equation is x + x + 12 = 112, then solve for x
Step-by-step explanation:
Answer:
<h3>22.627417</h3>
Step-by-step explanation:
![\frac{32}{ \sqrt[8]{16} } \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B32%7D%7B%20%5Csqrt%5B8%5D%7B16%7D%20%7D%20%20%5C%5C%20)
Simplify
Method 2 :
By rationalizing the denominator
The complete set of common factors of 6 and 12 is D. {1,2,3,6}
