1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Can someone help? Please
Serjik [45]

Answer:

x=1

Step-by-step explanation:

3x+1=10x-6

3x+7=10x

7=7x

1=x

7 0
2 years ago
Read 2 more answers
-7.66666, \sqrt(50,) -(157)/(20), -7.64 list these from least to greatest.
blagie [28]

Answer:

From least to greatest, the correct order is: -\frac{157}{20}; -7.666....; -7.64; and \sqrt{50}.

Step-by-step explanation:

Since \sqrt{50} is the only positive number, that means that it will be the greatest number on the list. -\frac{157}{20} is equivalent to -7.85, which makes it the smallest number. So you can conclude that the correct order is -\frac{157}{20}; -7.666...; -7.64; and \sqrt{50}.

4 0
2 years ago
X 2 4 8 10 16<br> Y12 45<br> 09<br> Oy= 2 x<br> Oy=1 x<br> O y=x-1<br> Oy=x+2
MrRa [10]

Answer:

<em>y = x ÷ 2</em>

Step-by-step explanation:

We are given a table of values, which will be represented as ordered pairs (x,y) below:

(2,1) (4,2) (8,4) (10,5) (16,8)

We are required to select one of the functions that match the numeric relationship between x and y.

We could test them one by one, but at simple observation, we can note the values of y are half of the values of x:

2/2=1

4/2=2

And so on. Thus the only function that divides the value of x by 2 to find the value of y is:

y = x ÷ 2

6 0
2 years ago
Admission to a local aquarium is $10 for adults and S7 for children. The aquarium collected $6,459 from the sale of 783 tickets.
Anarel [89]

Answer:

The answer is 457

Step-by-step explanation:

You set up an equation as

10a+7c=6459

a+c=783

c= child

a= adult

then you simplify to 3a=978 by taking out one of the values.  You get a - 326.

783-326=457 so there is your answer

3 0
3 years ago
What is the simplified form of each expression?
eimsori [14]
IM pretty sure the answer is
1.A
2.C
3.A
4.D
5.B
:)

3 0
3 years ago
Read 2 more answers
Other questions:
  • There's 754 students going to a field trip. There are only 23 buses. If only 4 students can ride each bus, how many buses will y
    8·1 answer
  • What’s the answer ??
    5·1 answer
  • Angle A and angle C are vertical angles. If m∠A=(3x+7)∘ and m∠C=(x+53)∘, what is the value of x
    9·2 answers
  • What are the factors of 6
    10·2 answers
  • -7/9 divided by 9/8 equals to what??
    12·1 answer
  • A family spent 35% of its annual budget on a trip to Australia .What fraction in simplest form of the family was spent on the tr
    15·1 answer
  • Geometry - No links please
    11·1 answer
  • What percent of 360is 18?<br>​
    6·1 answer
  • A cone and a cylinder have the same base and height, as shown below.
    11·1 answer
  • Identify the postulate if possible
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!