Carys is checking her tax bill for the last year .the tax rates were as follows: no tax on the first 11000 of earnings .earnings in excess of 11000 and up to 43000 taxed at a rate of 20%. earnings in excess of 43000 and up to 150000 taxed at a rate of 40%. earnings over 150000 taxed at a rate of 45%. last year carys earned 45600 before tax .how much tax did she pay in total?

Find the area of the regular hexagon if a side is 20 cm.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

(x-5)1/2+5=2 what is possible solution of this equation