Which decimal is equal to 1/5 A. 0.2 B. 0.15 C. 0.1 D. 1.50

2 answers:

7 0

1/5 can also be replaced as 20/100 you just multiply the denominator and numerator by 20. I think it is easier this way because decimals are out of 100 so if you can find an equal fraction that is out of 100 for the denominator the numerator can be turned into decimal form

joja [24]4 years ago

3 0

If you do 1 literally divided by 5, because that's basically what it's asking for, you get .2, so it's A

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What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

olchik [2.2K]

Option A: $\frac{1}{3}$ is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

$\begin{aligned}A^{\prime} C^{\prime} &=\sqrt{(-4+7)^{2}+(3-6)^{2}} \\&=\sqrt{3^{2}+(-3)^{2}} \\&=\sqrt{9+9} \\&=\sqrt{18}\\&=3\sqrt{2} \end{aligned}$