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GenaCL600 [577]
1 year ago
13

1. If a side started out with a side length of 11 and ended with a side length of 71 what is the dilation's scale factor? Write

your answer to the nearest hundredths place
2. You are planning a square garden, your original plan started out with each side of the garden being 16 feet long, your end plan changed the length of each side by 7 feet. What would be the scale factor comparing your original garden to your final result? Round answers to the nearest hundredth.

3. An image is dilated by a scale factor of n = 0.06 Which statement is true regarding the image of the dilation?

1. the image will be smaller than the pre-image

2. The image will be congruent to the pre-image

3. The image will be larger than the pre-image
Mathematics
1 answer:
jeka57 [31]1 year ago
6 0

Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

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Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

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Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

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The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

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Simplifying using a graphing calculator gives;

\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}

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x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

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