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galina1969 [7]
3 years ago
12

On a coordinate plane, vertex A for triangle ABC is located at (6,4). Triangle ABC is dilated by a scale factor of 0.5 with the

center of dilation at the origin. The resulting image is triangle A'B'C'. What are the coordinates of vertex A'? ​
Physics
1 answer:
BigorU [14]3 years ago
8 0
<h2>Answer:</h2>

A'(0.5\times 6,0.5 \times 4)=A'(3,2)

<h2>Explanation:</h2>

Dilation is when you stretch something by the same amount in two perpendicular directions. In other words, dilation changes size, not overall shape. If the factor of dilation is greater than one the shape is greater than the original, else if the scale factor is less than one the shape is smaller. In this problem, we must find the coordinates of A'. Since the center of dilation is the origins, we just need to multiply the coordinates of A by 0.5. So:

A'(0.5\times 6,0.5 \times 4)=A'(3,2)

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\\ \sf\longmapsto KE=\dfrac{1}{2}mv^2

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If diameter and length of a cylinder are 0.01 m and 0.07 m respectively, the thermal conductivity of air is 0.028 W/mK and the N
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Where:

h - Convective heat transfer coefficient, measured in watts per square meter-degree Celsius.

k - Conductive heat transfer coefficient, measured in watts per meter-degree Celsius.

L_{c} - Characteristic length, measured in meters.

In addition, the characteristic length of a cylinder is defined by the following formula:

L_{c} = \frac{\pi\cdot r^{3}\cdot l}{2\pi\cdot r^{2}+2\pi\cdot r \cdot l} (Eq. 2)

Where:

r - Radius of the cylinder, measured in meters.

l - Length of the cylinder, measured in meters.

If we know that Nu = 14.2, k = 0.028\,\frac{W}{m\cdot ^{\circ}C}, r = 0.005\,m and l = 0.07\,m, then the convective heat coefficient is:

From (Eq. 2):

L_{c} = \frac{\pi\cdot (0.005\,m)^{2}\cdot (0.07\,m)}{2\pi\cdot (0.005\,m)^{2}+2\pi\cdot (0.005\,m)\cdot (0.07\,m)}

L_{c} = \frac{7}{3000}\,m

And by (Eq. 1):

h = \frac{k\cdot Nu}{L_{c}}

h = \frac{\left(0.028\,\frac{W}{m\cdot ^{\circ}C} \right)\cdot (14.2)}{\frac{7}{3000}\,m }

h = 170.4\,\frac{W}{m^{2}\cdot ^{\circ}C}

The convective heat transfer coefficient of the fluid is 170.4 watts per square meter-degree Celsius.

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