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djverab [1.8K]
3 years ago
8

A regular hexagon is shown.

Mathematics
2 answers:
Andrei [34K]3 years ago
4 0

Answer:

9

Step-by-step explanation:

s2008m [1.1K]3 years ago
3 0
Since the triangle will be a 30-60-90, because 360°/6 = 60° for each central angle, then that is bisected to find the height of each of the 6 equilateral triangles. This height is the same as the apothem.
In a 30-60-90 triangle, the sides are is the ratio of:
x \:  \\ x \sqrt{3} \\ and \: 2x
where x is opposite the 30° and 2x is opposite the 90°
Since the base is 10 and the hypotenuse is 10, 1/2 that is 5 (the x), and so:
x \sqrt{3}  = 5 \sqrt{3}  = 8.66
So rounded up, you apothem then is closest to D) 9 in.
You might be interested in
Find the sample size required to achieve the given margin of error with SD = 51.02 and z - score = 1.96. Round your answer to th
coldgirl [10]

Answer:

The sample size required is 2500.

Step-by-step explanation:

z-score:

In function of the margin of error M, the z-score is given by:

Z = \frac{M}{\frac{\sigma}{\sqrt{n}}} = \frac{M\sqrt{n}}{\sigma}

In this question, we have that:

\sigma = 51.02, M = 2, Z = 1.96

So

Z = \frac{M\sqrt{n}}{\sigma}

1.96 = \frac{2\sqrt{n}}{51.02}

2\sqrt{n} = 51.02*1.96

\sqrt{n} = \frac{51.02*1.96}{2}

(\sqrt{n})^2 = (\frac{51.02*1.96}{2})^2

n = 2500

The sample size required is 2500.

3 0
3 years ago
Fred works as a gardener. He charges at least $15 to drive to a residence and
Amanda [17]

We are required to find an inequality which best represents the relationship between the number of hours gardening g and the total charge c

The inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g

At least means greater than or equal to (≥)

fixed charge = $15

charges per hour = $12

Total charge = c

Number of hours = g

The inequality:

<em>Total charge ≥ fixed charge + (charges per hour × Number of hours</em>

c ≥ 15 + (12 × g)

c ≥ 15 + (12g)

c ≥ 15 + 12g

Therefore, the inequality which best represents the relationship between the number of hours gardening g and the total charge c is c ≥ 15 + 12g

Read more:

brainly.com/question/11067755

7 0
3 years ago
2. Sophia scored 42 points in 3 games. How many points would you expect her to make in 11 games?​
igomit [66]

Answer:

154

Step-by-step explanation:

42/3=14

14*11=154

6 0
2 years ago
Read 2 more answers
Gordan's front lawn measures 2,655 square feet. It takes him 9 minutes to mow it on his riding lawn mower. How many square feet
zlopas [31]
It would be 295 square feet.
5 0
3 years ago
Read 2 more answers
Jill has $1.25 in her pocket. The money is in quarters and dimes. There are a total of 8 coins. How many quarters and dimes does
erica [24]

Answer:

  • 3 quarters
  • 5 dimes

Step-by-step explanation:

Let q represent the number of quarters (the higher-value coin). Then 8-q is the number of dimes, and Jill's total amount in change is ...

  0.25q +0.10(8-q) = 1.25

  0.15q + 0.80 = 1.25 . . . . . . . eliminate parentheses

  0.15q = 0.45 . . . . . . . . . . . . . subtract 0.80

  q = 3 . . . . . . . . . . . . . . . . . . . . divide by 0.15

  the number of dimes is 8-q = 8-3 = 5.

Jill has 3 quarters and 5 dimes.

5 0
3 years ago
Read 2 more answers
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