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
svp [43]
3 years ago
5

Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.

Mathematics
1 answer:
tatuchka [14]3 years ago
4 0

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

You might be interested in
Tiffany drove from New York to California over the course of 8 days. Each day, she took a one- hour lunch break and a two-hour d
Goshia [24]
The answer is 1/8 (A)
7 0
3 years ago
What is 30 tens in hundreds
Dima020 [189]

Answer:

300

Step-by-step explanation:

each ten is worth 10 so 10x30+ 300

plz mark brainliest

4 0
3 years ago
Factor the polynomial. 8x^2 - 50
blsea [12.9K]
2 • (2x + 5) • (2x - 5)
6 0
3 years ago
Cities are on sale for five each Jennifer has 45 and wants to buy as many as she can how many CDs can Jennifer buy
Sati [7]

Answer:

9 cd's

Step-by-step explanation:

7 0
3 years ago
Estimate by rounding to the nearest ten.​ Then, find the sum.441+345=?
cricket20 [7]
441 to the nearest ten is 440
345 to the nearest ten is 350

The sum is;

440 + 350 = 790
3 0
3 years ago
Other questions:
  • Write an equivalent expression for 5(-2x - 3)
    13·1 answer
  • What is 4x+3y= -5 and -3x+4y=12 in elimination?
    12·2 answers
  • Write a quadratic function f whose zeros are 1 and -12
    7·1 answer
  • You put the names of all the students in your class in a paper bag. There are 19 boys and 12 girls. If you draw a name at random
    5·1 answer
  • Jacob bought a magazine for $2.80 and three candy bars. Write an expression for how much Jacob paid.
    12·1 answer
  • What's the length of the diameter of the ferris wheel?
    7·1 answer
  • The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is
    14·1 answer
  • Find the area of the shaped region
    8·1 answer
  • Find the 52nd term in the following sequence.<br><br> -31, -41, -51, -61,
    10·1 answer
  • Round your answers to 2 decimal places<br> use 3. 14 for
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!