Find the surface area. 6 ft 211 3 ft
2 answers:
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Answer:
Kindly check explanation
Step-by-step explanation:
Relative frequency = frequency / total frequency
Total frequency = 30
Outstanding = 14 / 30 = 0. 467 = 46.7%
Very good = 10/30 = 0.333 = 33.3%
Good = 5 / 30 = 0.167 = 16.7%
Average = 1 / 30 = 0.0333 = 3.3%
Poor = 0
_______Rating : frequency : R/ frequency
Outstanding _____ 14 _______0.467
Very good _______10 _______0.333
Good ___________ 5 _______ 0.167
Average _________ 1 _______ 0.033
Poor ____________ 0 _______ 0
Answer:
9.56 ft/sec
Step-by-step explanation:
We are told that a 5.8-ft-tall person walks away from a 9-ft lamppost at a constant rate of 3.4 ft/sec.
I've attached an image showing triangle that depicts this;
Thus; dx/dt = 3.4 ft/sec
From the attached image and using principle of similar triangles, we can say that;
9/y = 5.8/(y - x)
9(y - x) = 5.8y
9y - 9x = 5.8y
9y - 5.8y = 9x
3.2y = 9x
y = 9x/3.2
dy/dx = 9/3.2
Now, to find how fast the tip of the shadow is moving away from the lamp post, it is;
dy/dt = dy/dx × dx/dt
dy/dt = (9/3.2) × 3.4
dy/dt = 9.5625 ft/s ≈ 9.56 ft/sec
