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konstantin123 [22]
3 years ago
9

The diagonal of a TV set is 39 inches long. It's length is 21 more than the height. Find the dimensions of the tv

Mathematics
1 answer:
Anika [276]3 years ago
3 0
The height is 15 and the length is 36
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A machine starts dumping sand at the rate of 35 m3/min, forming a pile in the shape of a cone. The height of the pile is always
juin [17]
We are given with the following given
dV/dt = 35 m3/min
h = (3/2)D

What is asked is
dr/dt at t = 7 min

The volume of a cone is
V = (1/3)πr²h

From the given
h = (3/2)D
since D = 2r
h = 3r

Subsituting
V = πr³

At t = 7 min, the volume is
V = 35(7)
V = 245
and the radius is
245 = πr³
r = 4.27

Differentiating the volume
dV/dt = 3πr² dr/dt
From the given
dV/dt = 35

Subsituting
35 = 3πr² dr/dt
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