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
mihalych1998 [28]
3 years ago
5

to the nearest square unit what is the area of a regular octagon with a side length of 15 and an apothem of 18.1

Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0
To find the area of a regular octagon, you can split the shape into eight congruent triangles from the center, find the area of one triangle, and then multiply it by eight.

If you use this method, you will find that the base of the triangle is the side length of the octagon (in this case, 15 units), and that the height is the apothem (in this case, 18.1 units).

From here, you can use the basic formula used to find the area of a triangle:
A = 1/2bh
A = 1/2 (15) (18.1)
A = 135.75 square units

Finally multiply the area of that triangle by eight.
8(135.75) = 1086 

The area of the octagon is 1086 square units.
You might be interested in
An employee of a store's gift wrapping center is wrapping 8 gifts
Hitman42 [59]
<h3>Part A:</h3>

The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. <u><em>So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2</em></u>

<u><em></em></u>

<h3>Part B:</h3>

The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts

6 0
2 years ago
Determine if the two triangles are congruent. If they are state how you know.
Elanso [62]

Answer:

3,4,5 are congruent angles

Step-by-step explanation:

Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.

3 0
3 years ago
Read 2 more answers
Me ayudan por favor ​
KATRIN_1 [288]

Answer:

Step-by-step explanation:

4 0
3 years ago
$12,000 is invested for 4 years at a
Inessa05 [86]
I=prt. Sub in what you know: I=12,000(.015)(4). Multiply: I=12,000(.06). Multiply again: I=720. The investment earned $720 :)
7 0
3 years ago
Read 2 more answers
I need help with this lol
emmainna [20.7K]

Answer:

32 i think

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Does the function ƒ(x) = 7x + 3 represent exponential growth, decay, or neither?
    7·1 answer
  • How do I find the midpoint of a segment ?
    14·2 answers
  • Guys, please help out.
    12·1 answer
  • If x varies directly as y, and x=12 when y=3, find x when y=7
    9·2 answers
  • The question is
    14·1 answer
  • I Need Help Finding The Answer To m
    5·1 answer
  • Khalid is 8 years older than his sister Noora. After two years, Khalid’s age will be double Noora’s age. How old is each one of
    15·2 answers
  • How far did this person travel in Section C ( hours 6-7) Remember to include units​
    14·1 answer
  • Factoring polynomials <br> -12n2-11n=-15
    15·2 answers
  • Kadeesha has a toy car collection of 320 toy cars. She keeps 85% of the toy cars on
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!