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3 years ago

An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.

Mathematics

1 answer:

hammer [34]3 years ago

4 0

9514 1404 393

Answer:

c/3 = 169/12
42 1/4 feet

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

$\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}$

The real caboose is 42 1/4 feet long.

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Consider the rectangle.

SCORPION-xisa [38]

Given:

The graph of a rectangle.

The given rectangle is dilated from the origin by a scale factor of 3.

To find:

The vertices of the image of the rectangle after the dilation.

Solution:

From the given graph it is clear that the vertices of the rectangle are A(0,2), B(0,4), C(3,4) and D(3,2).

If a figure is dilated from the origin by a scale factor of 3, then

$(x,y)\to (3x,3y)$

Using this rule, the vertices of the image are:

$A(0,2)\to A'(3(0),3(2))$

$A(0,2)\to A'(0,6)$

Similarly,

$B(0,4)\to B'(3(0),3(4))$

$B(0,4)\to B'(0,12)$

And,

$C(3,4)\to C'(3(3),3(4))$

$C(3,4)\to C'(9,12)$

And,

$D(3,2)\to D'(3(3),3(2))$

$D(3,2)\to D'(9,6)$

The vertices of the image after dilation are (0,6), (0,12), (9,12), (9,6).

Therefore, the correct options are B and F.

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3 years ago

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ddd [48]

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Svet_ta [14]

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Step-by-step explanation:

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marshall27 [118]

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Step-by-step explanation:

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