If you say x = distance from pole to the woman and z = distance from the pole to the tip of her shadow, from similar triangles, you can write:
z/16 = (z-x)/6. (1)
We also know that the woman is moving at 7 feet/second or dx/dt = 7
You need to find dz/dt when x = 45. When you differentiate equation (1) with respect to t, you get:
(1/16)*dz/dt = (1/6)(dz/dt - dx/dt), or
6*dz/dt = 16(dz/dt - dx/dt), or 10*dz/dt = 16*dx/dt or dz/dt = 1.6*dx/dt
which means the distance 45 does not enter into the equation.
Plug dx/dt = 7, you get dz/dt = 1.6*7 = 11.2 feet/sec.
Answer:
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</h3><h3>brainly.ph/question/512605
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</h3><h3>brainly.ph/question/112864
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</h3><h3>brainly.ph/question/1789641
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Explanation:
<h2><u><em>#AnswerForTrees</em></u></h2>
Answer:
Gamma rays occupy the short-wavelength end of the spectrum; they can have wavelengths smaller than the nucleus of an atom. Visible light wavesare one-thousandths the width of human hair--about a million times longer than gamma rays. Radio waves, at the long-wavelength end of the spectrum, can be many meters long.
Answer:
Final temperature of the copper is 59 degrees Celsius
Explanation:
It is given that,
Mass of the sample of copper metal, m = 6.5 g
Initial temperature of the metal,
Heat generated, Q = 84 J
The specific heat capacity of liquid water is 0.38 J/g-K
Let is the final temperature of the copper. It can be calculated using the definition of specific heat of any substance. It is given by :
or
So, the final temperature of the copper is 59 degrees Celsius. Hence, this is the required solution.
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