The parallel sides of a trapezium are 20 cm and 10cm and its non parallel sides is 2 m if one of the parallel side is double he oher find the measures of the parallel sides

Which logarithmic equation is equivalent to the exponential equation below? e^a=55(you will receive 34 points)

What is the size of the matrix resulting from

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?