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
Kryger [21]
2 years ago
11

Find the area of the

Mathematics
1 answer:
e-lub [12.9K]2 years ago
5 0

Answer:

E) 613.9 m2

Step-by-step explanation:

sum of measures of interior angles of a polygon of n sides:

(n - 2)180

For a pentagon:

(5 - 2)180 = 3(180) = 540

measure of one interior angle of a regular pentagon:

540/5 = 108

Draw a segment from the center of the pentagon to the top vertex. Now you have a right triangle.

The triangle has a 90 deg angle where the segment in the figure meets the side of the pentagon. Let half of the side of the pentagon be x. x is a side of the right triangle.

For the 54 deg angle in the triangle, 13 m is the opposite leg, and x is the adjacent leg.

tan A = opp/adj

tan 54 = 13/x

x = 13 m/tan 54 = 9.445 m

x is half of the side of the pentagon.

2x is the side of the pentagon.

2x = 2(9.445 m) = 18.89 m

The given 13 m segment is the apothem of the pentagon.

A = nsa/2

where n = number of sides, s = length of 1 side, a = length of apothem

A = (5)(18.89 m)(13 m)/2

A = 613.9 m^2

Answer: E) 613.9 m2

You might be interested in
Please please answer
Inga [223]

Answer:

D

Step-by-step explanation:

When x = 0, y = -2.

When x = 2, y = 0.

So the function of the graph is y = x - 2, which is option D.

3 0
3 years ago
Write 9/50 as a percent
Naya [18.7K]
9/50 = 0.18

0.18*100 = 18%
7 0
3 years ago
The length of a rectangle is 45 inches and the width is 8 inches. a similar rectangle has a width of 24 inches. what is the peri
jenyasd209 [6]
If I'm correct t would be 135...
3 0
3 years ago
A recipe uses 5 cups of flour , Nadia is making 1/2 of the recipe . How many cups of flour does Nadia need ? Move numbers to the
fredd [130]

Answer:

2.5 rounds to 3

Step-by-step explanation:

5 divided by (or 5/2) 2 is 2.5 and since its not a whole number you rounded by the ones and you get 3.

3 0
3 years ago
Explain what is meant by a 100% decrease.
dsp73
So lets say u have 100$ and it decreases by 100% u would have no money left
7 0
3 years ago
Other questions:
  • What are the factors of six
    10·2 answers
  • what is the answer to this problem. lily built an orange shelf and a brown shelf to hang in her room. the orange shelf is 5 feet
    8·1 answer
  • Everett made 3/5 of the basket he shot supposed he shot 60 baskets how many did he make
    8·2 answers
  • I need help please ?!!!
    8·1 answer
  • Write a multiplication problem in which the product is between . 05 and . 75.
    15·1 answer
  • Find the surface area of the figure. You don't need to find the volume. :)
    13·2 answers
  • Solve for x!!!!!!!!!
    13·1 answer
  • A survey showed that 5 out of 6 students own a pet. Based on this result, how many of the 900 students in a school own a pet?
    7·1 answer
  • How to solve 8-| 2(-3.5)-5 |
    15·1 answer
  • Please answer My Question.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!