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Wittaler [7]
3 years ago
12

Figure A maps to figure B with a scale factor of 1 1/2. What is the value of x?

Mathematics
1 answer:
aalyn [17]3 years ago
8 0

Answer:

x = 6/2 = 3

Step-by-step explanation:

This is a dilation. A dilation is a change in size, whether it is an enlargement or reduction.

The scale factor is how much the enlargement is.

The side of Figure A is 2.

So we must multiply 2 ⋅ 1 1/2.

2 ⋅ 1 1/2 (3/2) = 6/2

6/2 is equal to 3.

Therefore, the value of x in Figure B is 3.

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3 years ago
The function g has an inverse. The function g − 1 determines the number of folds needed to give the folded paper a thickness of
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Answer:

\mathbf{g^{-1} (t) = log _2  \ 20 \ t}

Step-by-step explanation:

Here is the full question

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want.

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The function g has an inverse. The function g⁻¹ determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g⁻¹).

<u>SOLUTION:</u>

If we represent g(n) with  t;

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\mathbf{t = (0.05)2^n} \\ \\ \mathbf{\dfrac{t}{0.05} = 2^n} \\ \\ \mathbf{\dfrac {100 \ t }{ 5} = 2^n} \\  \\ \mathbf{20 t = 2^n}

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Step-by-step explanation:

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