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sergij07 [2.7K]
1 year ago
8

Find the number of units in the length of diagonal $DA$ of the regular hexagon shown. Express your answer in simplest radical fo

rm.
Mathematics
1 answer:
LekaFEV [45]1 year ago
6 0

17.32 the number of units in the length of diagonal $DA$ of the regular hexagon.

<h3>How do you find the length of the diagonal of a regular hexagon?</h3>

Six equilateral triangles can be formed from the hexagon. The equilateral triangle has an equal length on each side. The diagonal of the hexagon is formed by joining two of the sum of the lengths of the equilateral triangles. As a result, the hexagon's diagonal is twice as long as its sides.

For a polygon, the SUM of the internal angles is:

(n-2) * 180 (n=6 for hexagon)

(6-2)*180 = 720   Thus EACH angle is :   720/6 = 120 degrees

Therefore, the triangle's main angle is 120 degrees, and its other two angles are equal.

There are 180 degrees in any triangle:  

(180-120) / 2 = 30 degrees for each of the smaller angles.

Now use the law of sines:

10/sin30 = x/(sin120)

10/(.5)  × (sqrt3 )/ 2 = x

10 sqrt 3

10/sin30  ×  sin 120  =  17.32

17.32 is the number of units in the length of diagonal $DA$ of the regular hexagon.

Learn more about hexagon here:

brainly.com/question/28016053

#SPJ4

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Tanzania [10]

Answer:

4/9

Step-by-step explanation:

Given rate is 1/3 acre per 3/4 hours.

To calculate the rate per hour, we have to divide total acres by the fraction of hour

=> \frac{\frac{1}{3} }{\frac{3}{4} }

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5 0
3 years ago
3x2 + 2(x2 – 20) = 16 - 2x2
lana66690 [7]

3x(2) + 2(2x - 20) = 16 - 2x(2)

6x + 4x - 40 = 16 - 4x

10x - 40 = 16 - 4x

14x - 40 = 16

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Hope this helps! ;)

8 0
3 years ago
What will be the result of substituting 2 for x in both expressions below?
Gnom [1K]

Answer: pretty sure the answer is A

Step-by-step explanation:

1/2(2) + 4 = 1 + 4 = 5

2 + 6 - 1/2(2) -2 = 8 - 1 - 2 = 5

3 0
3 years ago
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The value of 7 in 375,081 is 7000
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70,000 when a zero is in between you gonna count it
5 0
3 years ago
Shelly is 3 years older than Michele. Four years ago the sum of their age was 67. Find the age of each person.
lawyer [7]

total of ages now is 67 + 4 + 4 = 75

S=shelly

M= Michelle

Michelle is 3 yrs younger than Shelly so use S-3

S +M = 75

replace M with S-3 to get:

S +S-3=75

2S=78

s=39

So shelly is 39

Michelle is 3 years younger = 39-3 = 36


4 0
3 years ago
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