High speed cameras are used to photograph events which take place too quickly to be seen by the human eye. one such high speed camera is composed of a rotating film drum, a rotating shutter and some miscellaneous optics. the film is fastened along the outside of the drum (along its entire circumference) and the drum is driven by high pressure gas. you desire to photograph the dynamics of a bumblebee in flight and estimate that its wings flap somewhere about 10,000 times a second. the radius of the film drum is r = 0.501 m and you've loaded it with 35mm film. 1) how many photographs will fit along the circumference of the drum? (assume 35mm length is one photo) number =

215.92 dollars is the answer

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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