Mathematics 25 points

Mathematics

2 answers:

jeka57 [31]3 years ago

8 0

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

Andre45 [30]3 years ago

8 0

Answer:

60 degrees.

Step-by-step explanation:

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Nataly_w [17]

This problem can be solved using equivalent fractions. The first step in resolving this problem is to realize that fractions are best compared when they both have the same denominator. In this case, I will choose to make that common denominator 100. There is no need to rewrite the fraction $\frac{21}{100}$ as the denominator for this fraction is already 100. The fraction $\frac{1}{5} =\frac{20}{100}$ . This is achieved by multiplying both the numerator and denominator by 20. Now that the two fractions have the same denominator, we can easily see that $\frac{21}{100}$ is greater than $\frac{1}{5}$ because it is greater than its equivalent fraction.