The angle of elevation from a soccer ball on the ground to the top of the goal is 34 degrees. If the goal is 8 feet tall, what is the distance from the ball to the goal? Round your answer to the nearest tenth.

Which of the following are accepted without proof in a logical system? check all that apply.

Find the solution of this system of equation -7x+y=-20 9x-3y=36

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?