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:
2.75 or 2 3/4
Step-by-step explanation:
just divide 11/4 that's how many miles Nate walked every hour
Answer:
100
Step-by-step explanation:
sqrt[y] = 10
Apply both side a ^2
then
y = 100
Best regards
Answer:
(E) The z-scores of the height measurements
Step-by-step explanation:
Mean is given by

Where,
n = Number of people
= The heights of people
When converting m to cm the mean would be

So, the mean would change
The median gives us the middle data value when the data values are in ascending order.
So, the median would change
Standard deviation

When converting to centimeters

Hence, the standard deviation would change
When converting to centimeters the maximum height in meters would be the maximum height in centimeters also.
The z score is given by

where,
x = Data point
= Mean
= Standard deviation
When converting to centimeters

Hence, the z score would remain the same