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Dvinal [7]
3 years ago
12

Geometry, SEMI-EASY question. I will give brainliest. Just want to double-check.

Mathematics
1 answer:
SashulF [63]3 years ago
8 0

Answer:

Option B

Step-by-step explanation:

Let the point O is the origin.

Then the coordinates of the vertices A,B and C will be,

A → (-12, -8)

B → (-8, 0)

C → (-6, -4)

Rule for the dilation of a point (x, y) by scale factor 'k' about the origin is,

(x, y) → (kx, ky)

By this rule, coordinates of the vertices of the image triangle will be,

If k = \frac{1}{2},

A(-12, -8) → A'(-6, -4)  

B(-8, 0) → B'(-4, 0)

C(-6, -4) → C'(-3, -2)

From the given options,

Option B is the answer.

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A ball slides up a frictionless ramp. It is then rolled without slipping and with the same initial velocity up another frictionl
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Answer:

Rolling case achieves greater height than sliding case

Step-by-step explanation:

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- We have frictionless ramp, hence no loss due to friction.So the entire kinetic energy is converted into potential energy.

- The ball slides it only has translational kinetic energy as follows:

                                   ΔK.E = ΔP.E

                                   0.5*m*v^2 = m*g*h

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For rolling ball:

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                                  ΔK.E = ΔP.E

                                  0.5*m*v^2 + 0.5*I*w^2 = m*g*h

- Where I: moment of inertia of spherical ball = 2/5 *m*r^2

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- From both results we see that 0.7v^2/g for rolling case is greater than 0.5v^2/g sliding case.

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Answer:\

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Step-by-step explanation:

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