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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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Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.
kipiarov [429]

Answer:

3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}

Step-by-step explanation:

Given

See attachment for number line

Required

Determine the model

From the attachment, we can see that each partition is 1/3

The gray rectangle covers 11 partitions.

So:

Gray = 11 * \frac{1}{3}

Gray = \frac{11}{3}

Express as a mixed number

Gray = 3\frac{2}{3}

The black rectangle covers 8 partitions

So:

Black= 8 * \frac{1}{3}

Black= \frac{8}{3}

Express as a mixed number

Black= 2\frac{2}{3}

So, the model is:

Gray + Black = Total

Where Total is the point where the black rectangle stops

3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}

5 0
3 years ago
What is the diameter of a circular field whose area is 616cm^2<br><br>​
Oksana_A [137]

Answer:

<h2>28cm</h2>

Step-by-step explanation:

d=2\sqrt{\frac{A}{\pi}} =2\sqrt{\frac{616}{\pi} }≈28.00563cm

rounding 28.00563 to 28.

So hence, your answer is 28cm

-------------------------------------------------------------------------------------------------------------The beautiful thing about learning is that no one can take it away from you!

B.B.King

Thanks!

Have a great day!

~ms115~

3 0
2 years ago
Read 2 more answers
(w-w^2)^4=?<br>.......................​
Setler [38]

Answer:

w^8 - 4w^7 + 6w^6  - 4w^5 + w^4 .

Step-by-step explanation:

(w - w^2)^4

= w^4 ( 1 - w)^4

By the binomial theorem:

= w^4( 1  - 4w + 6w^2 - 4w^3 + w^4)

= w^4 - 4w^5 + 6w^6 - 4w^7 + w^8

=  w^8 - 4w^7 + 6w^6  - 4w^5 + w^4 ( Standard form).

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3 years ago
How to make 105% into a fraction?
riadik2000 [5.3K]
Percent measn parts out of 100
105%=105/100=21/20
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3 years ago
How many ways are there to select 25 books from a collection of 27 books? i am just studying today
laiz [17]

notice, this will just be a Permutation.

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you can always check your calculator also for a [ ₙPᵣ  ] button.

4 0
3 years ago
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