Aconveyor belt carries supplies from the first floor to the second floor, which is 26 feet higher. the belt makes a 60 degree angle with the ground. how far do the supplies travel from one end of the conveyor belt to the other? round your answer to the nearest foot. if the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor?

Step-by-step explanation:

Let the distance the supplies traveled on conveyor belt be D  

Then, sin = O%2FH, or sin+60+=+%2824%2FD%29  

D sin 60 = 24 Cross-multiplying  

D, or distance the supplies traveled on conveyor belt = 24%2Fsin+60, or 27.71 ≈ highlight_green%2828%29 ft  

T = D/S  

T, or time = 27.71%2F75, or 0.37 min ≈ highlight_green%280.4%29 min

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use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you