A human cannonball is to be fired with an initial speed of 80 ft/s. The circus performer hopes to land on a cushion located 180 feet downrange at the same height as the muzzle of the cannon. The circus is being held in a large room with a flat ceiling 30 feet higher than the muzzle. Can the performer be fired to the cushion without striking the ceiling? If so, what is the proper firing angle? g = 32 ft/sec^2.

See explanation for step to step answer

Step-by-step explanation:

Given that;

initial speed of 80 ft/s.

The circus performer hopes to land on a cushion located 180 feet downrange at the same height as the muzzle of the cannon.

The circus is being held in a large room with a flat ceiling 30 feet higher than the muzzle.

Can the performer be fired to the cushion without striking the ceiling If so, what is the proper firing angle. g = 32 ft/sec^2.

See attavhed documents for further step by step answers.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.