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Ainat [17]
3 years ago
15

A rectangular conatainer with a square base is 2/3 full of water. This water is used to fill some small containers how many smal

l containers can it fill
Mathematics
1 answer:
vivado [14]3 years ago
6 0

Answer:

5 small containers will be  required and used.

This water is used to fill four and half  small containers exactly.

4.5 small containers

Step-by-step explanation:

The rectangular container has dimensions 12*12*45 cm  and the small container has dimensions 6*5*8 cm

The rectangular container with a square base is 2/3 full of water.The height is used up to 45*2/3= 7.5 cm

The volume of the water in the rectangular container with a square base is

12*12*7.5= 1080 cm³

The volume of the water in the smaller container is

6*5*8= 240 cm³

Number of smaller containers required = Volume of large container / Volume of smaller container

Number of smaller containers required =1080 cm³/240 cm³= 4.5

This water is used to fill four and half  small containers exactly.

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Point p is located in the first quadrant of a coordinate plane.If p is reflected across to form p',choose the four statements th
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Answer:

When we do a reflection of a point (x, y) about a given line, the distance between the point (x, y) and the line is invariant under the transformation.

In the case of reflection over x-axis we have:

T (x, y) => (x, -y)

In the case of reflection over the y-axis, we have:

T (x, y) => (-x, y)

Because these two lines are perpendicular, a reflection over the x-axis leaves the distance between the point and the y-axis invariant (and the same for the inverse case)

Then 4 statements that will always be true:

1) The distance between p' and the x-axis is the same as the distance between p and the x-axis.

2) The distance between p' and the y-axis is the same as the distance between p and the y-axis.

From 1 and 2, we get:

3)  The distance between p' and the origin is the same as the distance between p and the origin.

4) As we have a reflection, p' can not be in the same quadrant than p, then p' can not lie on the first quadrant.

4 0
3 years ago
in how many ways can the letter of word 'MONDAY' be arranged? How many of these arrangements do not begin with M? How many begin
cricket20 [7]

Step-by-step explanation:

Monday has 6 different letters.

and we have therefore 6 positions to put letters.

so, for the first position we have 6 choices.

for the second position the 5 choices, and so on.

that makes all together

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ways to arrange the letters.

if the arrangements must not begin with M, we are taking one choice away for the 1st position.

we can express that as all the ways with only 5 choices for the first position, or as the total number of possibilities minus the ones that start with M.

1.

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2.

6! - 1×5! = 720 - 120 = 600

now, for the possibilities that start with M but do not end with Y.

that is the same as demanding that the second position does not have a Y.

so, the first position has only one choice, and the second position has one choice less :

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3 0
1 year ago
7x-3/8=6x-5/8 what is x
professor190 [17]

7x - 3/8 = 6x -5/8

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x = -5/8 + 3/8

x = -2/8

x = -1/4

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4 years ago
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grin007 [14]
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This would be  (3/2)^2  =  9 /4  answer
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