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
lana [24]
1 year ago
15

O is the center of the regular decagon below. Find its perimeter. Round to the

Mathematics
1 answer:
dangina [55]1 year ago
7 0

The perimeter of the regular decagon is 110.5

<h3>what is a Decagon?</h3>

A Decagon is a polygon with 10 sides and 10 angles.
A Polygon can be regular or irregular.  When the polygon is regular, we say that the sides of the polygon are equal.

Analysis:

The sum of the interior angles of a polygon is given by : (n - 2 ) x 180

number of sides of a decagon (n) = 10

(10-2) x 180 = 1440°

So each interior angle is 1440/10 = 144°

in the diagram, if we draw a line from o to bisect  the angle, we form a right angle triangle with 72°. Also the 17 line divides the side of the polygon into two since it is a line drawn from the center of the decagon.

To find the base of the triangle, we use trigonometric ratios

tan 72 = 17/base

base = 17/tan72

base = 17/3.0776

base = 5.523

to find the side of the decagon, we multiply by 2

side of decagon = 2 x 5.523 = 11.046

perimeter of decagon = 10 x side of decagon

perimeter of decagon = 110.5

in Conclusion, the perimeter of the regular decagon is : 110.5

Learn more about polygon : brainly.com/question/1592456

#SPJ1

You might be interested in
Find the inverse of the function.<br> y = 4x
Mashcka [7]

Answer: f-1 (x) = x/4

Step-by-step explanation:

8 0
2 years ago
"!I NEED HELP WITH MY MATH PROBLEMS, PLEASE!" (27 POINTS)
Len [333]
25. yes it's direct variation
26. yes

5 0
2 years ago
Read 2 more answers
Please can someone help me solve the question in the picture 10 points plus brainliest!!!​
Effectus [21]

Answer:

E. 2 1/2

E. 8.5 cm

C. 6 cm

Step-by-step explanation:

4............................

Scale factor = AE/AC = (4+6)/4 = 10/4 = 2.5

<u>Correct option is</u> E. 2 1/2

5............................

DE = ?

  • DE = √AD² - AE² = √15² - 10² = √125 = 5√3 ≈ 8.66
  • <em>For measure of AD see next question (6)</em>

<u>Close option is</u> E. 8.5 cm

6............................

AB = ?

  • AD/AB = 2.5 <em>the scale factor as per question 4</em>
  • (AB + 9)/AB = 2.5
  • 2.5*AB = AB + 9
  • 1.5*AB = 9
  • AB = 9/1.5
  • AB = 6 cm

<u>Correct option</u> C. 6 cm

8 0
3 years ago
Given the function ƒ(x) = x 2 - 4x - 5 Identify the zeros using factorization. Draw a graph of the function. Its vertex is at (2
s344n2d4d5 [400]
The zeroes of the equation are 5, -1
6 0
2 years ago
For 4 weeks Paula and her sister looked for seashells on the beach. In the first week Paula collected 50 seashells and her siste
Free_Kalibri [48]

Answer:

560

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • Please help! 76/(-3.8)
    9·2 answers
  • $4.80 for 6 cans unit rate
    10·1 answer
  • How do you solve:<br> Y=-x-3y
    6·1 answer
  • A. 0<br><br><br> B. 1<br><br><br> C. 2<br><br><br> D. 3
    6·1 answer
  • Every month, Mr. Jones pays his school loans through automatic payments (withdrawals) from his savings account. He pays the same
    11·1 answer
  • Q: If the following series continues the same pattern. What is the next
    12·1 answer
  • If 6 is subtracted from a number the result<br> is 39.
    11·2 answers
  • For the polynomial, list each real zero and its multiplicity. Determine whether the graph
    11·2 answers
  • Question 1
    5·1 answer
  • A cylinder has a diameter of 10 inches in the height four times the radius what is the volume
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!