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Alona [7]
3 years ago
8

three neon lights are turnd on at the same time one blinks every 5 second the second every 12 and the third every 6 seconds in 5

minutes how many times will all three lights blink at the same time​
Mathematics
1 answer:
mylen [45]3 years ago
6 0

Answer:

5 times

Step-by-step explanation:

If we have to determine the number of times the lights will blink at the same time, we have to find Least common multiple (L.C.M) of 5, 12, and 6 seconds.

5 = 1 x 5

12 = 1 x 2 x 2 x 3

6 = 1 x 2 x 3

The L.C.M of 5, 6, and 12 is = 2 x 2 x 3 x 5 = 60

The three lights will be turned on after 60 seconds or 1 minute.

The lights will be turned on in 1 minute       1 time

The lights will be turned on in 5 minutes    (1*5) times = 5 times

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5a − 3
Taya2010 [7]

Answer:

4.8

Step-by-step explanation:

Multiply 5*4.8 equal 21.6

5 0
4 years ago
A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t
yan [13]
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides

<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles

<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0
3 years ago
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Jim had one hour to get to the
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Jim has 27.5 minutes left to get to the airport.
7 0
3 years ago
If there were 48 alligators and 5/6 were sleeping, how many are asleep?
Sergio039 [100]

5/6

6*8=48

5*8=40

The answer is 40

4 0
4 years ago
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