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Fed [463]
3 years ago
5

Square OABC is drawn on a centimetre grid. O is(0,0) A is(3,0) B is(3,3) C is(0,3). Write down how many invariant points there a

re on the perimeter of the square, when OABC is enlarged, scale factor 2, centre (0,0)

Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

Answer:

1 point. O (0,0)

Step-by-step explanation:

Hi

Invariant points are those points who remain on the same location after a given transformation.

1.  Plotting OABC we have it below:

2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:

O'(0,0) \:A'(3,0) B'(6,6) \:and\:C'(0,6)

Since the Scale factor is (2)

3. Check it out O'A'B'C' below

4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.

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katrin2010 [14]

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Explanation:</h2>

In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:

V=98in^3

When folding up, we get the box without lip shown in the second figure. So the volume would be:

V=2xx \\ \\ V=2x^2 \\ \\ But: \\ \\ V=98 \\ \\ Then: \\ \\ 2x^2=98 \\ \\ x^2=49 \\ \\ x=\sqrt{49} \\ \\ x=7in

Since te cardboard is square, then the side (s) is given by:

s=2+x+2 \\ \\ s=2+7+2 \\ \\ s=11in

Therefore:

<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Learn more:</h2>

Volume of a box: brainly.com/question/10501080

#LearnWithBrainly

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2 years ago
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Please answer this question, I will mark brainlest
adoni [48]

Answer:

B: 12

Step-by-step explanation:

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Answer:

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Because you start with 10, you will always have a 0 at the end.

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