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
Write an equation of the line that passes through a pair of points: -5, -2 3, -1
irinina [24]

Answer: option B is correct.

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (- 5, - 2) and (3, - 1),

y2 = - 1

y1 = - 2

x2 = 3

x1 = - 5

Slope,m = (- 1 - - 2)/(3 - - 5) = 1/8

To determine the intercept, we would substitute x = 3, y = - 1 and

m = 1/8 into y = mx + c. It becomes

- 1 = 1/8 × 3 + c

- 1 = 3/8 + c

c = - 1 - 3/8 = - 11/8

The equation becomes

y = x/8 - 11/8

8 0
2 years ago
Read 2 more answers
To evaluate whether a new fertilizer improves plant growth more than the old fertilizer, the fertilizer developer gives some pla
olga2289 [7]

Answer:

B) Experiment: you imposed a treatment (new fertilizer on some plants, old on others) to determine its effect.

Step-by-step explanation:

In this situation, the fertilizer developer wants to evaluate a hypothesis, not just observe, by subjecting plants to two different treatments (new and old fertilizer) in order to determine which treatment provides a more desirable effect (more plant growth).

This process configures an experiment.

The answer is alternative B)

6 0
2 years ago
Question 7
saw5 [17]

Answer:

I'm pretty sure that'd be 8567

3 0
3 years ago
Find the slope of the line that contains the points (-9, -3) and (-19, -3).
NNADVOKAT [17]

Answer:

Slope (m) = 0

Step-by-step explanation:

We will use this formula to find the slope⤵⤵⤵

\frac{y _{2} - y _{1}  }{x _{2} - x _{1}  }

(Sorry if it's a bit small btw)

Now we plug in the values accordingly:

-3 - (-3) = -3 + 3 = 0

-19 - (-9) = -19 + 9 = -10

Slope = 0/-10

So we have 0/-10, which means our slope is actually just 0.

(This also means that the line on the graph will be horizontal.)

Hope this helps you :)

7 0
2 years ago
Plz help me with this
Andreyy89
The answer would be C
7/9 = 0.77777778
8 0
3 years ago
Other questions:
  • What is 700 in expanded form.
    15·2 answers
  • A customer went to a garden shop and bought some potting soil for 12.50 and 5 shrubs.The total bill was 62.50. Write and solve a
    5·1 answer
  • 8x-3y=3<br> 2x+y=-15<br><br> solve by eliminaion.
    5·2 answers
  • The perimeter of the figure is 3
    14·1 answer
  • What is the diameter of circle C?
    11·1 answer
  • Stefanie swam four-fifths of a lap in the morning and seven-fifteenths of a lap in the evening. How much farther did Stefanie sw
    6·1 answer
  • Last year Salma opened an investment account with $8200. At the end of the year the amount in the account had increased by 6.5%.
    13·1 answer
  • (4) please try and find the area of a triangle thank you
    5·2 answers
  • 32-?-10+4=16 what is the missing number?
    13·1 answer
  • Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!