A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?

Mathematics

1 answer:

lakkis [162]2 years ago

4 0

Answer:

60 feet

Step-by-step explanation:

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Leya [2.2K]

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Answer:

clockwise
90°
origin

Step-by-step explanation:

The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.

∆ABC is transformed by a clockwise rotation 90 degrees with a center at the origin .

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Answer:

$\bold{a_{16}=78}$

Step-by-step explanation:

$a_1=3,\ a_2=3+5=8,\ a_3=8+5=13,\ a_4=13+5=18\ \implies\ d=5\\\\a_n=a_1+(n-1)d\\\\a_n=3+(n-1)(5)\\\\a_n=3+5n-5\\\\a_n=5n-2\\\\ a_n=78\quad\implies\quad n=\,??\\\\78=5n-2\\\\78+2=5n\\\\5n=80\\\\n=16$

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