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
Natasha_Volkova [10]
4 years ago
14

. A regular hexagon is composed of 12 congruent 30 o -60 o -90 o triangles. If the length of the hypotenuse of one of those tria

ngles is 18 square root 3 , find the perimeter of the hexagon.

Mathematics
1 answer:
sergey [27]4 years ago
5 0

see  the attached figure to better understand the problem

Let

2L---------> lenght side of hexagon


we know that

in one of those triangles

sin 30=1/2

sin 30=L/hypotenuse

solve for L

L=hypotenuse*sin 30-------->L=( 1 8 √ 3 )*(1 /2)------> L=9√3 units


Find the perimeter

perimeter=(2L)*6--------> L*12-------> Perimeter=9√3*12--------->108√3 units


therefore


the answer is

the perimeter of the regular hexagon is 108√3 units

You might be interested in
Find an equation of the line having the given slope and containing the given point. m=8 (-4,-3)
notsponge [240]

Answer:

y=8x+29

Step-by-step explanation:

Since we know the slope and a point, we can use the point-slope form.

The point-slope form is:

y-y_1=m(x-x_1)

Substitute 8 for m, and let (-4,-3) be x₁ and y₁, respectively. Thus:

y-(-3)=8(x-(-4))

Simplify:

y+3=8(x+4)

Distribute:

y+3=8x+32

Subtract 3 from both sides:

y=8x+29

And we're done!

7 0
3 years ago
What is 2x-6+7=4x+4-2 equal to?
Hatshy [7]

Answer:

x=(-2)

Step-by-step explanation:

subtract 4x from 2x

-6+7=1  4-2=2  subtract 1 from 2

-2x=1  x=-2

5 0
3 years ago
Ben wants to put a dog fence around an area
weqwewe [10]

Answer:the dimensions of all sides are 15 and 15 then add 5 because it said to and you would get 20 and 20 witch all together is 70 feet of fencing

Step-by-step explanation:

6 0
3 years ago
Which is the percent composition of bromine in the compound nabr?
love history [14]
We are given a compound known to be Sodium Bromine (NaBr). This compound has a molecular weight of
Na=23 g/mol and Br=80 g/mol
NaBr=23+80= 103 g/mol

Assuming if we have 1 mol of NaBr, then we have 80 g of Bromine (Br). Calculating its percent composition in the total NaBr compound, we get

%Br= (80/103)*100=77.7%

Therefore, the answer to the question above is letter A.
8 0
3 years ago
N+12=4 what is the process of the equation
Sunny_sXe [5.5K]

Hey there!

Here is your question -

n+12=4

In this equation, you're looking for n alone. To keep the variable alone, you have to do the opposite of what's happening to the variable.

In this equation, 12 is being added to n. The opposite of that is subtracting 12.

Subtract 12 from both sides -

n+12-12=4-12 \\ n=-8

Your answer is -8.

Hope this helps! :)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Michael is 12 years older than Lynn. The sum of the ages is 84. How old is michale
    11·2 answers
  • A2 + 2ab + b2-9<br> Pls help
    15·2 answers
  • Find the slope <br> -5/4<br> 4/5<br> -4/5
    9·1 answer
  • Evaluate a−3.45+b for:<br> a=2.88 and b=6.02
    6·1 answer
  • a) Work out V2^4+ 3^2 Select your answer 5 A 6 B 25 C 36 D b) Work out V10^2 - 2^6 Select your answer 5 A 6 B 25 C 36 D
    12·1 answer
  • What is 3/5 equivalent to
    8·2 answers
  • Write an equation of the line passing through point P(-8, 0) that is perpendicular to the line
    8·1 answer
  • 5
    5·1 answer
  • What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm​ long, 14 cm​ wide, and 9 cm​ tall
    10·1 answer
  • The sum S of the measures of the interior angles of a polygon with n sides is given by the formula S equals 180 (x minus 2 ). Th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!