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
Anarel [89]
3 years ago
5

Express answer in exact form. Show all work for full credit.

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0

Answer:

Area segment = 3/2 π - (9/4)√3 units²

Step-by-step explanation:

∵ The hexagon is regular, then it is formed by 6 equilateral Δ

∵ Area segment = area sector - area Δ

∵ Area sector = (Ф/360) × πr²

∵ Ф = 60° ⇒ central angle of the sector

∵ r = 3

∴ Area sector = (60/360) × (3)² × π = 3/2 π

∵ Area equilateral Δ = 1/4 s²√3

∵ The length of the side of the Δ = 3

∴ Area Δ = 1/4 × (3)² √3 = (9/4)√3

∴ Area segment = 3/2 π - (9/4)√3 units²

You might be interested in
Solve Systems by Substitution<br> 2x+5y=-3<br> x+8y=4<br> and<br> 2x+y=7<br> x-2y=-14
ASHA 777 [7]
2x + 5y = -3 ⇒ 2x +   5y = -3 
1x + 8y =  4 ⇒ <u>2x + 16y = 8
</u>                               -<u>11y</u> = <u>-11 </u>
                                -11     -11
                                    y = 1
                        2x + 5(1) = -3
                            2x + 5 = -3
                            <u>      -5     -5</u>
                                  <u>2x</u> = <u>-8</u>
                                   2      2
                                    x = -4
                              (x, y) = (-4, 1)

2x + 1y = 7     ⇒ 2x + 1y = 7
1x -  2y = -14 ⇒ <u>2x  - 4y  = -28</u>
                                   <u>5y</u> = <u>35</u>
                                    5      5
                                     y = 7
                             2x + 7 = 7
                             <u>      -7   -7</u>
                                   <u>2x</u> = <u>0</u>
                                    2     2
                                    x = 0
                              (x, y) = (0, 7)
4 0
3 years ago
The number of fish in a lake is decreasing by 400 every year, as described by the function below.
FrozenT [24]

Answer:

D: 7800

Can you give me brainliest :>

Step-by-step explanation:

3 0
2 years ago
Please help math
Naddika [18.5K]
   
\displaystyle\\&#10;15(2a - 2) = 5(a^2 -1) \\  \\ &#10;30a - 30 = 5a^2-5\\\\&#10;-5a^2 + 30a -30 + 5 =0\\\\&#10;-5a^2 + 30a -25 =0 ~~~~~\Big| \times (-1) \\\\&#10;5a^2 - 30a +25 = 0~~~~~\Big| : 5 \\\\&#10;a^2 - 6a +5 = 0 \\  \\ &#10;a_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}= \frac{6\pm \sqrt{36-20}}{2}= \frac{6\pm \sqrt{16}}{2}=\frac{6\pm 4}{2}= \boxed{3\pm 2} \\  \\ &#10;a_1 = 3+ 2 = \boxed{5}\\\\&#10;a_2 = 3-2 = \boxed{1}



8 0
3 years ago
Read 2 more answers
A first-aid booth is located 3/4 of the distance from point A to point B. At what marker on the path is the first-aid booth loca
Anastaziya [24]

3/4*8= 24/4= 6 this is 3/4 the distance between point a and b

3 0
2 years ago
Plz help me plzzzzzzzzzz
Effectus [21]

Answer:

I think the answer is 7;

Step-by-step explanation:

All i did was subtract Q11 from all 4 of its sides;

11=4=7

7 0
2 years ago
Other questions:
  • Which three-dimensional figure is formed by the rotation given?
    13·2 answers
  • Erin counted 8 commercials in 15 minutes. Find how many commercials are
    10·1 answer
  • What is the solution of 34x+2x=44
    6·2 answers
  • A polygon with three sides is called a
    15·2 answers
  • What is the exact area of a semicircle with diameter of 28 inches?
    10·2 answers
  • A high school has 900 students. In a
    11·1 answer
  • 9ax^2 +9ax+9a<br> Find the greatest common factor
    6·1 answer
  • The lowest point in a business cycle, which follows a period of economic
    11·2 answers
  • Decrease £14120 by 4% Give your answer rounded to 2 DP.
    8·1 answer
  • IF correct you get brainliest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!