P = 2(L + W)
P = 80
W = 1/3L
80 = 2(L + 1/3L)
80 = 2(3/3L + 1/3L)
80 = 2(4/3L)
80 = 8/3L
80 * 3/8 = L
240/8 = L
30 = L .... length (L) is 30 ft
W = 1/3L
W = 1/3(30)
W = 30/3
W = 10 <== width (W) = 10 ft
D(t) = -4t^3 + 40t^2 + 500t = 4088
4t^3 - 40t^2 - 500t + 4088 = 0
t = 7
Therefore, the plane has flown 4088 km 7 hours after it took off.
Answer:
14 cm
Step-by-step explanation:
The applicable formula is ...
s = rθ
s = (7 cm)(2) = 14 cm
Each side of the rhombus is 121 feet
Answer:
56.39 nm
Step-by-step explanation:
In order to have constructive interference total optical path difference should be an integral number of wavelengths (crest and crest should be interfered). Therefore the constructive interference condition for soap film can be written as,

where λ is the wavelength of light and n is the refractive index of soap film, t is the thickness of the film, and m=0,1,2 ...
Please note that here we include an additional 1/2λ phase shift due to reflection from air-soap interface, because refractive index of latter is higher.
In order to have its longest constructive reflection at the red end (700 nm)

Here we take m=0.
Similarly for the constructive reflection at the blue end (400 nm)

Hence the thickness difference should be
