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Lerok [7]
4 years ago
9

Walt grew 10 centimeters in one year. He is now 1.6 meters tall. How tall was Walt one year ago in centimeters?

Mathematics
1 answer:
kondor19780726 [428]4 years ago
6 0

Answer:

One year ago, he had height of 150 cm.

Step-by-step explanation:

We have to model this situation.

The first step is having everything as the same unit. I am going to work in meters initially.

Each m is 100 cm. So 10cm = 10/100 = 0.1m.

I am also going to say that his height one year ago was x.

His height is now 1.6m, which is 10cm = 0.1m above his height last year, which was x. So

1.6 = 0.1 + x

x = 1.6 - 0.1

x = 1.5

His height last year was 1.5m.

In centimeters, that is 1.5*100 = 150 cm.

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Which of the following translations is needed to carry ΔEFG onto its image ΔE'F'G'?
zhannawk [14.2K]

The transformation rule needed to generate the triangle E'F'G' is (x, y) → (x - 4, y + 11).

<h3>What is the transformation rule for the translation of a triangle?</h3>

Herein we see the triangle EFG and the triangle E'F'G', result of the translation of the former triangle.

A triangle is generated by three non-collinear points. Translation is a kind of rigid transformation and there is a translation if and only if each pair of related points is related to one and same translation vector:

T(x, y) = P'(x, y) - P(x, y)           (1)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point

Now we proceed to check if the triangle E'F'G' is the result of a translation:

T₁(x, y) = E'(x, y) - E(x, y)

T₁(x, y) = (- 9, 4) - (- 5, - 7)

T₁(x, y) = (- 4, 11)

T₂(x, y) = F'(x, y) - F(x, y)

T₂(x, y) = (- 7, 8) - (3, - 3)

T₂(x, y) = (- 4, 11)

T₃(x, y) = G'(x, y) - G(x, y)

T₃(x, y) = (- 2, 3) - (2, - 8)

T₃(x, y) = (- 4, 11)

The transformation rule needed to generate the triangle E'F'G' is (x, y) → (x - 4, y + 11).

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

6 0
2 years ago
What is the distance between the points (-9,9) and (-4,-3)
Liula [17]

Answer: 13 units

Step-by-step explanation:

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= sqrt [(-12)^2 + (5)^2]

= sqrt (144 + 25)

= sqrt 169

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Answer:

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Step-by-step explanation:

32.83 + 0.8 = 33.63

37.63 - 33.63 = 4.

8 0
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