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Elina [12.6K]
3 years ago
15

Rectangle ABCD has vertices A(3, 5), B(5,5), C(5, 1) and D(3, 1). Drag and drop the coordinates of each vertex when rectangle AB

CD is rotated 90° counter-clockwise around the origin.
Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

Answer:

Given the coordinates of rectangle ABCD are;

A = (3, 5)

B = (5,5)

C = (5, 1) and

D = (3, 1)

The rule of rotation 90 degree counter-clockwise around the origin is given by;

(x, y) \rightarrow (-y, x)

Now, the coordinates of each vertex when rectangle ABCD is rotated 90 degree counter-clockwise around the origin are;

A(3, 5) \rightarrow A'(-5, 3)

B(5, 5) \rightarrow B'(-5, 5)

C(5, 1) \rightarrow C'(-1, 5)

D(3, 1) \rightarrow D'(-1, 3)

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Write the following as a ratio: 304 calories burned in 56 minutes
IgorC [24]

Answer:

The required ratio is 38 : 7

Step-by-step explanation:

Given,

304 calories burned in 56 minutes,

That is, the number of calories burnt in 56 minutes = 304

So, the ratio of the calories burnt and time in minutes  = \frac{304}{56}

∵ HCF(304, 56) = 8,

Thus, the ratio of price of photos and number of photos = \frac{304\div 8}{56\div 8}

= \frac{38}{7}

6 0
3 years ago
Cmonnnnnnnnnnnnnnnnnnnnnnn
Rufina [12.5K]

Answer:

75

Step-by-step explanation:

Area of a triangle is <em>l </em>x <em>w </em>(length x width)

That's 4 cm x 12 cm. Now you could go ahead and figure it out from there, but you have to remember it wants the answer in meters. It tells us that for every 4cm, it is 5m. The easiest way to figure this out is to convert to meters before multiplying. Since 4 cm is 5m, the <em>l </em>becomes 5m. 4 goes into 12 three times. So we would do 5 x 3 to get 15m for the new <em>w. </em>Now we can solve for area.

<em>l </em>x <em>w </em>= A

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I hope this helped :)

8 0
2 years ago
Read 2 more answers
PLEASE HELP!!
irina [24]

Answer:

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divide through out by -8 :

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3 0
3 years ago
Clare follows the same workout cycle each time she goes to the gym. First, she runs for 1 3 of an hour. Then, she lifts weights
____ [38]

Answer:

3 times

Step-by-step explanation:

She has 1 1/2 hour to spend in the gym.

1 hr = 60 minute

1/2 of an hour

= 1/2 * 60

= 30 minutes.

In total, she spends 90 minutes in the gym.

If 1/3 of an hour is meant in running, it translates into;

1/3 * 60 = 20 minutes

If 1/6 of an hour is spent in weight-lifting, it translates into;

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In total, she spends,

20 minutes + 10 minutes = 30 minutes for both activities.

To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.

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