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xenn [34]
3 years ago
9

Compare these rational numbers : 5.3655, 28/5, 5 2/5, 33/6.

Mathematics
2 answers:
Digiron [165]3 years ago
6 0
28/5 is 5 3/5 which is 5.60.

so it's the greatest
Monica [59]3 years ago
6 0
Here, we have some numbers: 5.3655, 28/5, 5 2/5, 33/6
Now, we will try to convert all of them into one format (decimal) 'cause it would be easy to compare:
28/5 = 5.6, 5 2/5 = 27/5 = 5.4, 33/6 = 5.5

Now, we have numbers: 5.3655, 5.6, 5.4, 5.5

We can easily see, 5.6 is greatest which was 28/5 originally 

So, Your Final Answer would be Option B) 28/5

Hope this helps!

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
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Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


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