Rick is setting up a model train track that is 5 and 3 over 5 feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 4 over 5 foot apart. How many telephone poles does he need? (Input number values only) Numerical Answers Expected!

Sam claims that cos x =sin y if x and y are congruent angels. is sam correct ?

Four individuals pool money together to start a new business and agree to split the profits equally. n invests $6,000, x invests $2,000, y invests $8,000 and z invests $4,000. if the profits for the first month were $100,000, y receives than if the profits were divided in proportion to how much they invested.

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?