Question

Mathematics 25 points

Answer 1

Answer:

The angle from the centre of Ann's slice is 60 degrees.

Step-by-step explanation:

If the size of the slices is proportional to the ages of the children eating the cake, then the sum of their ages equal to 360 degrees (since the cake is a circle).

So to work out the angle of Ann's portion, we find a fraction for Ann's age over the total of all of their ages. So:

5/(5 + 10 + 15) = 5/30

Now since we know their ages are proportional to the slices of cake, we can find the same value for the fraction 5/30 that is out of 360 to work out the angle. Let's call the angle representing Ann's slice x. So know we can create an equation:

5/30 = x/ 360

5/30 * 360 = x

x = 60

Answer 2

Answer:

60 degrees.

Step-by-step explanation: