The formula for the circumference of a circle is c=pi d, where d is the length of the diameter. if d is a rational number, what can you conclude about the circumference?

The circumference is an irrational number.

Step-by-step explanation:

is an irrational number, multiplying by a rational number different from 0 will give as a result an irrational number. This is because if that is not the case, then there would exist rational numbers a and b, with a different from 0, such that  , then .

Since the quotient of two rational numbers is a rational number, if b and a were rational, then should also be rational, which is not the case.

We conclude that, since the diameter is positive and rational, that the circumference cant be rational, therefore it is irrational.

8y^50

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.