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3 years ago

What is the approximate scale factor dilating from the red image to the blue image?Explain how you figured this out.

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.

Explanation:

The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor = $\frac{baselengthbeforescaling}{baselengthafterscaling}$ = $\frac{2.5}{9}$ = 0.2777.
So the red image is dilated by a scale factor of 0.2777 to produce the blue image.

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Answer: 9.70%

Step-by-step explanation:

The formula to find the percentage error is given by :-

$\%\text{ error}=\dfrac{|\text{Estimate-Actual}|}{\text{Actual}}\times100$

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Estimated mass of zinc oxide used by pharmacist =31.1 g

Now, $\%\text{ error}=\dfrac{|31.1-28.35|}{28.35}\times100$

i.e. $\%\text{ error}=\dfrac{2.75}{28.35}\times100$

i.e. $\%\text{ error}=9.70017636684\approx9.70\%$

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3 years ago

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Ksenya-84 [330]

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B. The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is $x$ feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, $Time=\frac{Distance}{Speed}$

So, the time taken by the bee to reach the flowerbed $= \frac{x}{20}$ seconds and the time taken to fly back to the hive $=\frac{x}{12}$ seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

$\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250$

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Answer:

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