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3 years ago

Is this a right triangle?

Mathematics

2 answers:

Sati [7]3 years ago

4 0

Answer:

yes

Step-by-step explanation:

RoseWind [281]3 years ago

3 0

Answer:

It's B.

Step-by-step explanation:

We need to see if AB is perpendicular to BC. If it is then the product of the slopes of BC and AB will equal -1.

A is the point (-5,5), B is (-3,2) and C is (-6, 0).

Slope of AB = (5 - 2) / (-5 - -3) = 3 / -2 = -3/2.

Slope of BC = (2-0) / (-3 - (-6) = 2 / 3.

The product of their slopes is -3/2 * 2/3 = -1.

Therefore triangle ABC is right-angled.

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Lyrx [107]

Answer:

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

$\frac{dV}{dt}=4 \ m^3/s$

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is $V=\pi r^2 h$

$=( \pi \times 2^2\times h)\ m^3$

$\therefore V= 4\pi h$

Differentiating with respect to t.

$\frac{dV}{dt}=4\pi \frac{dh}{dt}$

Putting the value $\frac{dV}{dt}$

$\Rightarrow 4\pi \frac{dh}{dt}=4$

$\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}$

$\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}$

The rate change of height does not depend on the height.

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

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3 years ago

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