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Verdich [7]
2 years ago
15

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Answer:

Line 1 : A. Neither B. Parallel__________ Line 2: A. Perpendicular B. Parallel

Step-by-step explanation:

Sorry this was hard to make a picture of it in my head. *Exhausted face* ._.

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Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be
m_a_m_a [10]

Answer:

6.82 mt^3/min

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

V=\frac{\pi R^2h}{3}

So, the volume of water when it is 1 meter high is

V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is 0.3071\;mt^3

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 mt^3/min

This speed equals the difference between the water being pumped and the water leaking,

So,  

<em>0.12 = Speed of water being pumped -6.8  </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 mt^3/min

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Step-by-step explanation:

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