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labwork [276]
3 years ago
14

Decompose the regular hexagon into six matching triangles. What is the area of a hexagon?

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

((3√3)/2) * (s^2)

Step-by-step explanation:

A hexagon can be split up into 6 equilateral triangles by drawing a line from a corner to the opposite corner.  The equilateral triangles would have a side length of (if the hexagon has a side length of s) s.  The area of an equilateral triangle is (√3)/4 * s^2.  Multiplying this by 6 gets us ((3√3)/2) * (s^2).

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Work out the following and put in it’s simplest form:<br> 9/10 divided by 3/5
DiKsa [7]

Answer:

3/2 but if you want mixed form then 1 1/2

5 0
3 years ago
Duke Energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $1
Gnoma [55]

Answer:

Step-by-step explanation:

a. H0: μ ≤ 104 Ha: μ > 104

Assuming the data leads to the rejection of the null hypothesis, we would conclude that there is no sufficient statistical evidence to prove that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month.

b. The type error in this situation would be rejecting the null hypothesis when it is actually true. Rejecting the fact that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month when it was actually true.

c. Type II error in this case would be failing to reject the null when it is false. Failing to reject the fact that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month when it is actually not true.

The consequences for these errors might be disastrous including sueing of the accuser party etc.

8 0
3 years ago
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in h
densk [106]

Answer:  There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of  employees  wants to choose = 6

The combination of n things taken r at a time is given by:-

^nC_r=\frac{n!}{r!(n-r)!}

Put n = 25 and r= 6, we get

^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100

Hence, there are 177100 possible groups.

8 0
3 years ago
2. Which of these describes a unique polygon?
dimulka [17.4K]

Answer: A

Step-by-step explanation:

6 0
4 years ago
There are 12 plants in 3 rows. How many plants are in each row? multiplication<br> show your work
anygoal [31]
There are 4 per row.
12 divided by 3 = 4.
7 0
3 years ago
Read 2 more answers
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