A. 1
b. 1
c. 1
d. 1/2
2. 1/2
3. Yes they did break it because there are 3 wholes.
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon = 
Therefore, angle at the center of a dodecagon =
= 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle = 
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle = 
= 
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
Answer:
true
Step-by-step explanation:
3(1)+3(-2)
3+(-6)=-3
-3<33 is true
Answer: children= 8, adult= 7
Step-by-step explanation:
Let the number of children be x
Let the number of adults be y
There was a total of 15 people. This can be represented as:
x + y = 15 .......... equation i
Child tickets cost 5$ and adult tickets cost 10$. She then spent a total of 110$. This can be represented as:
5x + 10y = 110 ............. equation ii
Combine both equations
x + y = 15 ........... equation i
5x + 10y = 110 .......... equation ii
Multiply equation I by 5
Multiply equation ii by 1
5(x + y = 15)
1(5x + 10y = 110)
5x + 5y = 75 .......... equation iii
5x + 10y = 110 ........ equation iv
Subtract equation iv from iii
-5y = -35
y = 35/5
y = 7
Number of adults is 7
Since x + y = 15
x = 15 - 7
x = 8
Number of children is 8