Convert the following repeating decimal into a fraction. * 0.497

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

4 0

Answer:

497/1000

Step-by-step explanation:

sorry but that's as simplified as it gets

You might be interested in

NO LINKS!! Please help with questions 3 and 4

Taya2010 [7]

Answer:

$\textsf{3.} \quad (x,y) \rightarrow (x-5,y+2)$

$\textsf{4.} \quad (x,y) \rightarrow (x+3,y+1)$

Step-by-step explanation:

<h3><u>Question 3</u></h3>

Given vertices of ΔLMN:

L = (1, -1)
M = (4, 1)
N = (5, -1)

Given vertices of ΔL'M'N':

L' = (-4, 1)
M' = (-1, 3)
N' = (0, 1)

From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.

There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.

To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:

$x_{M'}-x_M =-1-4=-5 \implies \textsf{5 units left}$

$y_{M'}-y_M =3-1=2 \implies \textsf{2 units up}$

Therefore, the mapping rule for the translation is:

$(x,y) \rightarrow (x-5,y+2)$

<h3><u>Question 4</u></h3>

Given vertices of ΔLMN:

L = (-6, -4)
M = (-5, -1)
N = (-2 -4)

Given vertices of ΔL'M'N':

L' = (-3, -3)
M' = (-2, 0)
N' = (1, -3)

From inspection of the given diagram, we can see that the two triangles are congruent since their corresponding angles and corresponding side lengths are the same.

There is no apparent reflection or rotation, so the transformation of ΔLMN to ΔL'M'N' is by translation.

To find the mapping rule for the translation, choose one pair of corresponding vertices and determine the difference between the x and y values of the translated point and the original point:

$x_{L'}-x_L =-3-(-6)=3 \implies \textsf{3 units right}$