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
Verizon [17]
3 years ago
7

Find the measures of the angles formed by​ (a) two consecutive radii and​ (b) a radius and a side of a regular dodecagon.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0
See the picture to better understand the problem

we know that
A regular dodecagon has 12 sides
Central angle of a regular polygon is an angle whose vertex is the center of the polygon with two consecutive radii
thus 
the measure of a central angle is
m∠AOC=360/n
where n is the number of sides
so
m∠AOC=360/12-----> 30°

therefore

the answer Part a) is 
<span>the measure of the angle formed by two consecutive radii is 30 degrees

Part b) 
we know that
OAC is an isosceles triangle
so
OA=OC
m</span>∠OAC=m∠OCA

<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180=2*m∠OAC+m∠AOC-----> m∠OAC=[180-30]/2----> 75°

the answer part b) is 
<span>the measure of the angle formed by a radius and a side is 75</span>°

You might be interested in
What is the volume of a triangular prisim if the length is 4cm heigght is 3cm and width is 11cm
aniked [119]

Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,

Area of triangle = 0.5 × 4cm × 11cm

Area of triangle = 22 cm²

Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,

Volume of the triangular prism = 22cm² × 3cm = 66cm³

Hence, the volume of the triangular prism is 66cm².

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

5 0
1 year ago
Which unit of measure is the most reasonable to measure the length of your pet hamster?
Viktor [21]
Inches is the correct answer
7 0
2 years ago
Read 2 more answers
A cone is a solid that has one circular base and only one face. true or false
bearhunter [10]
The answer for this is true 
4 0
3 years ago
Read 2 more answers
How many different five-member teams can be made from a group of 17 people?
goblinko [34]

Answer:

3, with 2 people left over

3 0
2 years ago
MATH HELP?!!
Novosadov [1.4K]
I think it's true also 
8 0
3 years ago
Other questions:
  • 81÷9=9<br>true or false !!!!!
    9·1 answer
  • The polygons are similar, but not necessarily drawn to scale. Find the value of x.
    9·1 answer
  • What is 90y-10x-10 in simplest form
    9·1 answer
  • In which quadrant does -8,-10 lie?
    9·1 answer
  • The radius of a volleyball is 8.5 inches. What is the volume of the volleyball? *
    8·1 answer
  • I need to know this thank you
    12·1 answer
  • How many 10ths are in 2/5
    8·2 answers
  • If Zoe has 9 apples, and each apple were 9 grams of sugar. How many grams of sugar does Zoe ate if see eats 9 apples each day th
    14·1 answer
  • The formula for the volume of a cylinder is V = π r^2 h. Solve V= π r^2 h for h, the height of the cylinder.
    8·1 answer
  • What do I do with this...?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!