What will the radius of your cake be?
This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.
How many slices will you be able to cut?
The total area of a circle is given by:

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

Finally, we will be able to cut:

Slices
Answer: y+8
Step-by-step explanation:
-2(y-1)+3(y+2)
-2y+2+3y+6
y+8
Answer:
19. A
20. A
Step-by-step explanation:
19. tan(53)=15/x
x(tan(53))=15
x=15/(tan53))
x=11.3 feet
20. tan(60)=12/x
x(tan(60))=12
x=12/(tan(60))
x=6.93, or 4sqrt3
Answer:
value of k = 6
Step-by-step explanation:
sum of all angles forming a straight line = 180°
so,
- 7k + 8 + 90 + 40 = 180
- 7k + 138 = 180
- 7k = 180 - 138
- 7k = 42
- k = 42/7
- k = 6
hence the value of k = 6
Answer: 3a = (0, 1) 3b = (2, 1) 3c = (2.5, 1) 3d = (1.6, 1)
4a = (2, 3.5) 4b = (2, 3) 4c = (2, 5.375)
<u>Step-by-step explanation:</u>
The length of AB is 6 and is horizontal (affects the x-coordinate)


***********************************************************************************
The length of AB is 5 and is vertical (affects the y-coordinate)
