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babunello [35]
2 years ago
9

5 small containers of capacity 16, 72, 12, 24 and 56 Litres are to be used to fill a bigger container. What is the capacity of t

he bigger container which can be filled by each of the above containers exactly without leaving a remainder when used seperately?
Mathematics
1 answer:
PIT_PIT [208]2 years ago
6 0

Answer: 1008

Step-by-step explanation:

Given

5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container.

The volume of big container is the LCM of the 5 given containers

LCM(16,72,12,24,56)=1008

Therefore, the capacity of the bigger container is 1008 litres.

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Graph ARST with vertices R(6, 6), S(3, -6), and T(0, 3) and its image after a
padilas [110]

Answer:

The answer is the second figure and the vertices of Δ R'S'T' are:

R' = (-6 , 6) , S' = (-3 , -6) , T' = (0 , 3)

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

 ∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

 ∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

 ∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

 ∴ Its image is (-y , -x)

- Now we can solve the problem

∵ R = (6 , 6) , S = (3 , -6) , T = (0 , 3), they are the vertices of ΔRST

- The triangle RST is reflected over the y-axis

- According to the rule above the signs of x-coordinates will change

∵ R = (6 , 6)

∴ Its image is (-6 , 6)

∵ S = (3 , -6)

∴ Its image is (-3 , -6)

∵ T = (0 , 3)

∴ Its image is (0 , 3)

* Now lets look to the figure to find the correct answers

- The image of Δ RST is ΔR'S'T'

∵ The vertices of the image of ΔRST are:

  R' = (-6 , 6) , S' = (-3 , -6) , T' = (0 , 3)

* The answer is the second figure

7 0
3 years ago
Andrea was asked to find the value of –32 × 9 × 5/4 . How can Andrea make this problem easier to compute?
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Answer:

divide the 32 by 4:

then the equation becomes:

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this is the same as 32 x 9 x 5/4 = 360

8 0
2 years ago
Are the co ordinates of A 3,4 ?
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Answer:

A: 2,3

B: -5,1

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Step-by-step explanation:

I really hope it helps!!!

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