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frosja888 [35]
3 years ago
6

What is the scale factor of a model car if the scale is 1 Inch=2 feet

Mathematics
1 answer:
Tamiku [17]3 years ago
4 0

Answer:

To answer this question, you need to know how 1 inch compares to 1 foot, and in order to do that you need to convert these values to the same unit of measurement. You could convert them both to feet or to inches. Let's do inches since converting them both to feet would make the measurement of 1 inch a fraction (1/12 of a foot).

There are 12 inches in one foot, so your comparison is:

1 inch - 12 inches

This means that every foot you see in the object you are drawing can be represented on paper by a measurement of 1 inch.

If, for example a window measures 3 feet across, my drawing would be scaled down in my drawing in which my window measures 3 inches wide.

This keeps what you draw proportional to what you see.



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If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
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Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

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Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Let f(x) = 2x3 – 4x.<br> Find f(-2).
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Answer:

Step-by-step explanation:

f(x) = 2x^3 - 4x.....find f(-2).....so sub in -2 for x

f(-2) = 2(-2^3) - 4(-2)

f(-2) = 2(-8) + 8

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f(-2) = -8 <==

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Answer: 606.06

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