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
ikadub [295]
3 years ago
6

What is the radius of the incircle of a regular hexagon with a side of 20 cm ?

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0
10√3 cm.
The radius of an incircle of a hexagon is the same measure as the apothem. find the apothem by taking half of the central angle and create a right triangle perpendicular to the side. The central angle is 60 so the angle opposite the side length will be 30.  this creates a 30-60-90 triangle with the ratio x:x√3:2x. half the side opposite 30 is 10, so x=10. the base angle of the side is 60 so it will be x√3. plug in 10 for x to get 10√3 cm.
You might be interested in
Ln a+3 + ln a-3 = ln 16
Lilit [14]
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5
7 0
3 years ago
Answer to this please! Thank you :))))
kodGreya [7K]

Answer:

62

Step-by-step explanation:

180-56=124

124/2= 62

62+62+56=180

6 0
2 years ago
Read 2 more answers
What is the simplified form of 24 y to the eighth power over 15 x to the fifth power divided by 8 y to the fourth power over 4 x
Gnoma [55]


the answer to the question

7 0
3 years ago
Read 2 more answers
Say youre going to conduct a t procedure for the difference between the means of two populations. You decide the samples of size
stiv31 [10]

Answer:

all 3 are correct.

I

II

III

you're welcome

6 0
3 years ago
Helppppppppppppppppppppppppppp
Nata [24]

Answer:

14 cm

Step-by-step explanation:

One side of the composite has a length of 6 and the other side has a length of 8.

If we add these two numbers, we'll get the missing side length of the rectangle

6 + 8 = 14 cm

6 0
2 years ago
Other questions:
  • The volume of a box with a rectangular base is 3072 cm3.the length of the side are in the ratio 1:2:3.calculate the length of th
    10·1 answer
  • is 14 closer to 10 0r 15 or 20, is 11 closer 10 or 15 or 20 ,is 18 closer to 15 or 10 or 20, is 16 closer to 10 or 15 or 20
    6·2 answers
  • Holly drove 100 miles in 4 hours, and Yemi drove 100 miles in 5 hours. How can you compare the speeds of Holly and Yemi? Explain
    5·1 answer
  • 3 x + 4 = 31 ecuación de primer grado ayuda!
    5·1 answer
  • Given the following exponential function identify whether the change represents growth or decay and determine the percentage rat
    8·1 answer
  • What is the sum of the arithmetic series below?
    13·1 answer
  • Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsu
    12·1 answer
  • HURRY PLEASE<br> What is the slope of the line on the graph below?<br> -1/2<br> 1/2<br> 1<br> 2
    11·1 answer
  • Find the volume of a cylinder with a radius of 5 cm and a height of 7 cm.​
    14·2 answers
  • Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary,
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!