A plane is travelling 10.0 meters per second (this means the plane would travel ten meters in one second, twenty meters in two seconds, thirty meters in three seconds, and so on) north, but then a strong wind of about 15.0 meters per second begins to blow east. (a) Is the speed of the plane equal to, greater than, or less than 25.0 meters per second? (Do not make any calculations.) (b) Explain your reasoning for your answer above. (c) Is the direction of the plane north, east, or somewhere between? (d) [!] If you said somewhere between, write (as an algebraic inequality, if you can) for the angle at which the plane might be travelling once the wind begins to blow.

Gh bisects fgi. find the measure of hgi •15° •21° •10° •8°

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?

Prove the following(cot0+cosec0)[tex](cot0 + cosec0) { }^{2} = \frac{1 + cos0}{1 - cos0} [/tex]