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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.
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A restaurant has 50 tables. 40% of the tables have 2 chairs at each table. The remaining 60% of the tables have 4 chairs at each
liubo4ka [24]

Answer:

Total number of chairs in the restaurant = 160.

Step-by-step explanation:

Total number of tables in the restaurant = 50

It is given that 40% of the tables have 2 chairs at each table.

40% of 50 = \frac{40}{100} (50)

= 20

So, 20 tables have 2 chairs at each table.

Number of chairs required for 20 tables = 20 × 2 = 40

Remaining 60% of the tables have 4 chairs at each table.

60% of 50 = \frac{60}{100} (50)

= 30

So, 30 tables have 4 chairs at each table.

Number of chairs required for 30 tables = 30 × 4 = 120

Hence, total number of chairs in the restaurant = 40 + 120 = 160.

5 0
3 years ago
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babymother [125]
42 + 6 divided by 2 equals 24
3 0
2 years ago
Solve for the indicated variable.
marta [7]

Answer:

Option (c) "r=\dfrac{q}{4c}-h"

Step-by-step explanation:

The given equation is :

q = c4(h + r)

We need to solve it for r.

Dividing both sides of the given equation by 4c.

\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}

Now, subtract h both sides of the equation.

h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h

Hence, this is the required solution.

3 0
2 years ago
The following frequency distribution shows the yearly tuitions (in $1,000s) of a sample of private colleges.
hoa [83]

Answer:

19.714

Step-by-step explanation:

Given :

Yearly Tuition Frequency

12-16 5

17-21 4

22-26 3

27-31 2

We calculate the midpoint (x) = (lower + upper) / 2

The mean yearly tuition :

The midpoint (x) :

X ___ F ___ Fx

14 __ 5

19 __ 4

24 __ 3

29 __ 2

The mean = Σfx / Σf

Σfx / Σf = (14*5 + 19*4 + 24*3 + 29*2) / (5+4+3+2)

Mean = 276 / 14

Mean yearly tuition = 19.714

8 0
2 years ago
Can I send a picture of a math problem
Tresset [83]

Answer:

yes you just have to insert it. pls mark as brainliest its the crown

Step-by-step explanation:

8 0
2 years ago
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