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
Leya [2.2K]
3 years ago
6

Express answer in exact form.

Mathematics
1 answer:
Kruka [31]3 years ago
6 0
We know that
<span>the regular hexagon can be divided into 6 equilateral triangles
</span>
area of one equilateral triangle=s²*√3/4
for s=3 in
area of one equilateral triangle=9*√3/4 in²

area of a circle=pi*r²

in this problem the radius is equal to the side of a regular hexagon
r=3 in
area of the circle=pi*3²-----> 9*pi in²
we divide that area into 6 equal parts------> 9*pi/6----> 3*pi/2 in²

the area of a segment formed by a side of the hexagon and the circle is equal to <span>1/6 of the area of ​​the circle minus the area of ​​1 equilateral triangle
</span>so
 [ (3/2)*pi in²-(9/4)*√3 in²]

the answer is
 [ (3/2)*pi in²-(9/4)*√3 in²]

You might be interested in
Im so confused! Can someone help me? I need to find the value of the variable and the measures of the angles.....
nikdorinn [45]
Hello there! I can help you! So what we are looking for is the value of x. To find the value of x, we can write and solve an equation. Set it up like this:

4x + 28 = 180

This is because the sum of the angles for a triangle is 180°. We combine the like terms to get 4x and subtract 6 from 34 to get 28. First off, let's subtract 28 from both sides. 28 - 28 cancel out. 180 - 28 is 152. That simplifies into 4x = 152. Now, divide each side by 4 to isolate the x. 4x/4 cancels out. 152/4 is 38. There's a possible value of x. Let's plug the value in and see if it works. 38 * 2 is 76. 76 - 6 is 70. 38 + 34 is 72. 70 + 72 is 142 and 142 + 38 is 180. 180 = 180. There. x = 38. Here are the answers for the angle measurements:

(x + 34) = 72°
(2x - 6) = 70°
x° = 38°

4 0
3 years ago
What is the value of this expression (4.08)(0.7)?
elena-s [515]
<span> (4.08)(0.7) = 2.856

--------------------------------</span>
7 0
3 years ago
Read 2 more answers
Evaluate.
guajiro [1.7K]

Answer:

24

Step-by-step explanation:

23+4⋅2−7

PEMDAS

Multiply first

23+8−7

Add and subtract from left to right

31-7

24

4 0
2 years ago
Try This question solve using elimination I’ll give you brainliest
koban [17]

Answer:

(7, 1/2)

Step-by-step explanation:

Multiply second equation by 2 and subtract.

3x - 4y = 19

- (4x - 4y = 26)

You get -x = -7

x = 7

Substitute x into any equation.

3(7) - 4y = 19

21 - 4y = 19

-4y = -2

y = 1/2

4 0
3 years ago
2x+5y=-3<br>3x-y=21<br>help me
arlik [135]
Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6

7 0
4 years ago
Other questions:
  • If x is 6, then 7x=<br> A. 13<br> B. 42<br> C. 42x<br> D. 76
    7·2 answers
  • Please HELP ASAP!!<br> The attachment is down below
    13·1 answer
  • What are the next three numbers in the pattern: 2, -4, 6, -8, 10
    14·1 answer
  • Based on the work shown on the left, what is the
    13·1 answer
  • What is the slope of <br> y=-x+15
    10·2 answers
  • HELPPP Paul is making two ceramic plates in his pottery class. One plate has a 20-centimeter diameter and a 62.8-centimeter circ
    6·1 answer
  • Marking brainliest <br><br> Why is this right important
    5·1 answer
  • Is it ok if somone answers this for me :)...?<br><br> (−12)(−5)
    12·2 answers
  • If 7 is P percent of 13, then P is a number between
    15·2 answers
  • Give f(x) = 3x + 3, solve for x when f(x) = 6
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!