A paint spot X lies on the outer rim of the wheel of a paddle-steamer. The wheel has radius 3 m and
rotates anticlockwise at a constant rate. X is seen
entering the water every 4 seconds.
H is the distance of X above the bottom of the
boat. At time t=0, X is at its highest point.
A) Find a cosine model for H in the form
H(t) = a cos(b(t – c)) + d.
B) At what time t does X first enter the water?
a

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

htrhyjk

step-by-step explanation:

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