A trebuchet launches a projectile on a parabolic arc from a height of 47 ft. at a velocity of 40 ft/s. Determine when the projectile will first reach a height of 60 ft. and how many seconds later it will again be at 60 feet. Round to the nearest tenth. First time to reach a height of 60 feet:
seconds

Second time to reach a height of 60 feet:
seconds

The multiplicative property of equality states that for real numbers a, b, c, and d, if a = b and c = d, then ac = bd. true false

What is the measure of angle a and angle c ?

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?