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
5000-x is the number of dollars in the mutual fund
Answer:
Base area = 25.2 in^2
Step-by-step explanation:
Base area = 63/2.5 = 25.2 in^2
Answer:
the answer is 1.16 shirts
Step-by-step explanation:
the mean absolute deviation is found by finding the average of the difference between each data point and the mean of the data.
1st...find the mean of the data by adding all the numbers according to the data plotted and dividing the by the numbers listed; which in this case is 10
1 +2+ 2+ 3+ 3+ 3+ 4+ 4+ 5+ 6 = 3.3
mean is 3.3
then find the difference between the mean and each data point
Data Point = 1 2 2 3 3 3 4 4 5 6
Difference from mean = 2.3 1.3 1.3 0.3 0.3 0.3 0.7 0.7 1.7 2.7
Find the average of these differences by adding the (differences from Mean) by 10
<u>2.3 + 1.3 + 1.3 + 0.3 + 0.3 + 0.3 + 0.7 + 0.7 + 1.7 + 2.7</u>
10
the mean absolute deviations is 1.16 shirts
Answer:
a,d
Step-by-step explanation:
