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Fantom [35]
3 years ago
15

How fast should the ant walk to go around the rectangle in 4 minutes?

Mathematics
1 answer:
vekshin13 years ago
4 0

<em><u>Question:</u></em>

How fast should the ant walk to go around the rectangle in 4 minutes if the sides are 12 inches and 16 inches

<em><u>Answer:</u></em>

The ant should walk 14 inches per minute

<em><u>Solution:</u></em>

Given that,

Dimensions of rectangle are 12 inches and 16 inches

<em><u>Find the perimeter of rectangle</u></em>

Perimeter = 2(length + width)

Perimeter = 2(12 + 16)

Perimeter = 2(28) = 56

Thus perimeter of rectangle is 56 inches

Time taken = 4 minutes

We have to find the speed at which ant covers 56 inches in 4 minutes

<em><u>The speed is given by formula:</u></em>

speed = \frac{distance}{time}

speed = \frac{56}{4} = 14

Thus the ant should walk 14 inches per minute

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Lorico [155]

Answer:

A' = (0,0)

B'=(8,0)

C'=(8,2)

D'=(0,2)

It is not a rigid motion.

Step-by-step explanation:

To use the mapping rule, substitute the original x and y values in it.

The coordinates of A are (0,0).

Using the mapping rule, the x coordinate of A' = 2x0 = 0

Using the mapping rule, the y coordinate of A' = (1/2)x0=0

So A' will not change locations. The image will be at (0,0).

The coordinates of B are (4,0)

Using the mapping rule, the x-coordinate of B' = 2x4 = 8

Using the mapping rule, the y-coordinate of B' = (1/2)x0=0

Therefore the image of B' will be located at coorindate (8,0)

The coorindates of C are (4,4).

Using the mapping rule, the x-coordinate of C' = 2x4=8

Using the mapping rule, the y-coordinate of C' = (1/2)x4=2

Therefore the image of C' will be located at coordinate (8,2)

The coordinates of D are (0,4)

Using the mapping rule, the x-coordinate of D' = 2x0 = 0

Using the mapping rule, the y-coordinate of D' = (1/2)x4=2

Therefore the image of D' will be located at coordinate (0,2)

<em>Is the transformation a rigid motion?</em>

NO, this transformation is not a rigid motion because the relative distance between the points does not stay the same after they have been transformed. The transformation is not a translation , rotation, reflection, nor glide reflection.

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3 years ago
Use the coordinates of the plotted points to complete the calculation below. Pay attention to negative signs.
MArishka [77]

Answer:

  • 3
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  • -3
  • 1
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Step-by-step explanation:

The <em>change in y</em> is the difference in y-coordinates between the lower right point and the upper left point. Similarly, the <em>change in x</em> is the difference in the x-coordinates of those points.

  \text{Slope}=\dfrac{\text{change in y}}{\text{change in x}}=\dfrac{\boxed{3}-6}{2-\boxed{1}}\\\\=\dfrac{\boxed{-3}}{\boxed{1}}\\\\\\=\boxed{-3}

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Answer:

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Step-by-step explanation:

We are told that in the 3 days of the walk to fight cancer, Mary breaks the 62 mile barrier every day, that is to say that every day she travels 62 miles or more.

You ask us how much she walks in a single day, considering what the statement that goes at least 62 miles each day says, she would walk at least those 62 miles on a normal day.

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Step-by-step explanation:

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