Josie is sitting on a Ferris wheel. She is exactly 29 feet from the center and is at the 3 o'clock position when the Ferris wheel begins moving. Suppose Josie has rotated 3.5 radians around the Ferris wheel (starting at the 3 o'clock position). How high is Josie above the horizontal diameter (in feet)?
 feet   

Suppose Josie has traveled 237 feet from the 3 o'clock position. How high is Josie above the horizontal diameter (in feet)?
 feet   

Define a function f that determines Josie's vertical distance above the horizontal diameter (in feet) as a function of the arc length (in feet), s, swept out by the Ferris wheel as it moves counter-clockwise from the 3 o'clock position.

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

answer: 7

step-by-step explanation:

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).

answer:  

step-by-step explanation:

odd numbers are only divisible by 1 and itself.

even numbers are divisible by more than 1 and itself.

for example 6 is even because it is divisible by more than 1 and its self. 1 x 6= 6 ; 2 x 3= 6

and 7 is odd because only 7 x 1 equals seveb