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irina [24]
2 years ago
8

sand is falling off a conveyor in a conical pile at a constant rate of 2 cubic yards per minute. The height of the sand is equal

to the radius of the pile of sand on the ground. If the cone-shaped pile is 3 feet tall now, how tall will it be in one hour?​
Mathematics
2 answers:
kvv77 [185]2 years ago
7 0

The volume of a cone is (1/3)πr2h.

In this problem r=2h or h=(1/2)r

Hence V = (1/6)πr3

dV/dt = (1/2)πr2 dr/dt

With this information you should now be able to answer the question. Remember the relation between r and h!

never mind i was right

im also so sorry if you dont understand or its not one of the answers

PolarNik [594]2 years ago
3 0

Answer:

t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?

Step-by-step explanation:

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A small rocket is fired from a launchpad 15 m above the ground with an initial velocity left angle 400,450,600 right angle ​m/s.
vivado [14]

Answer:

a)

v=<400, 450+3t, 600-9.81t> m/s

r=<400t, 450t+3t^{2}/2, 15+600t-9.81t^{2}/2> m/s

b) attach file

c) t=122.324s

d) z=18369.9854 m

Step-by-step explanation:

a)

The equation for velocity of each component is v=v_{0}+at, in this case the x-axis component has acceleration 0\frac{m}{s^{2} }, the y-axis component has acceleration 3\frac{m}{s^{2} } and the z-axis component has -g\frac{m}{s^{2} }, where g=9.81\frac{m}{s^{2} }.

The equation for position of each component is  x=x_{0}+v_{0}t+at^{2}/2,

with <x_{0}, y_{0},z_{0}>=<0,0,15>.

c) This time is t when z=0, with positive sign.

d)Solving the equation V_f^{2}=V_o^2 + 2*a*(z-z_{0}) for z, with V_f=0.

3 0
3 years ago
If ⅙ of a roll of wallpaper covers ¼ of the wall. How many rolls of paper are needed to cover 4 walls?
AVprozaik [17]

Answer:

if 1/6 of a roll of paper covers 1/4 of a wall, this means that we will need 4/6 of a roll to cover a whole wall, now the question is asking how many rolls will we need to cover 4 walls, we already know that it takes 4/6 to fill one wall so if we add 4/6+4/6+4/6+4/6 we will get 16/6 or 2 4/6

we will need 16/6 or 2 4/6 of rolls of paper to cover 4 walls

5 0
2 years ago
May anyone help me on this one
ivanzaharov [21]
The answer is 1 1/2 and 1 whole
4 0
3 years ago
Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) an
stepladder [879]

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

y = 4/3x + 1.

6 0
3 years ago
Once again Bri needs help so ya btw make it a step-by-step please
Masja [62]

Answer:

the fourth clock listed option D?

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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