All squares are rectangles
all squares are rhombuses
The circumference of a circle is C=2πR, where R is the radius of the circle and π≈3.14.
So if we open the circumference of the circle into a straight line segment, the length of this segment is C=2πR≈2*3.14*R=6.28R
4 rotations mean 4 circumferences that is 4 segments of length 6.28R,
which makes a linear distance of 4*6.28R=25.12R
i: the radius of the smaller wheel is R=r, thus it covers a distance of 25.12r feet
ii: the radius of the smaller wheel is R=2r, thus it covers a distance of 25.12*2r=50.24r (feet)
50.24r is twice 25.12r, thus the larger wheel traveled Twice the distance of the smaller one.
Answer: the larger covered twice the distance of the smaller.
Answer:
<em>6,174</em>
Step-by-step explanation:
(-33 * - 78) + (5 * 8 * 9 * 10)
Remove the brackets:
-33 * - 78 + 5 * 8 * 9 * 10
Solve like so:
-33 * - 78 = 2,574
5 * 8 * 9 * 10 = 3,600
(2,574) + (3,600)
2,574 + 3,600 = 6,174
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Answer:
2100
Step-by-step explanation:
Multiply the rate by the time and the weight to find the amount per week.
(2.5%/day)(6 tons)(2000 lb/ton)(7 days/week) = 2100 lb/week
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
