Anil, a student of class X goes to Ganga river with his father. When he sees a boat in the river, then he wants to sit in the boat. So his father Ramesh is ready to sit with him. In this order, Anil is sitting on a boat which goes upstream at a speed of 6km/h and returns downstream at a speed of 14km/h. When Anil is in the boat, some questions arise in the mind. Please answer the following questions. 1)Find the speed (in km/h)of the boat in still water:
2)Find the speed (in km/h)of stream.
3)Which mathematical concept is used in above problem?
4)Write the direction in which the speed is maximum.
5)Find the average speed of stream and boat in still water.
Please answer fast!!!

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

The measure of angle 0 is 600 degrees

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.