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12345 [234]
3 years ago
7

Planes X and Y and points C, D, E, and F are shown.

Mathematics
1 answer:
viva [34]3 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

The planes are shown in the image below.

From the image, points D and E are on plane Y, while point F is on plane X.

A) The line that can be drawn through points C and D is  contained in plane Y.

This statement is wrong because point C is not in plane Y

B) The line that can be drawn through points D and E is  contained in plane Y.

Correct. Since both points D and E are on plane Y, hence The line that can be drawn through points D and E is  contained in plane Y.

C) The only point that can lie in plane X is point F.

This statement is correct because from the image only point F is on plane X.

D) The only points that can lie in plane Y are points D  and E.

This statement is correct because from the image only point D and E is on plane Y.

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A rectangle and a square have the same perimeter. the rectangle is of length 6cm and has an area of 48cm², find the length of th
EleoNora [17]

<em>The length of the square​ that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>

<h2>Explanation:</h2>

Let's call:

A_{s}:Area \ of \ square \\ \\ A_{r}:Area \ of \ rectangle \\ \\ P_{s}:Perimeter \ of \ square \\ \\ P_{r}:Perimeter \ of \ rectangle

From the question, we know that:

  • <em>A rectangle and a square have the same perimeter.</em>

So:

P_{s}=P_{r}

Moreover:

  • <em>The rectangle is of length 6cm and has an area of 48cm²</em>

Accordingly:

For \ Rectangle: \\ \\ L:Length \\ W:Width \\ \\ A_{r}=L\times W \\ \\ 48=6W \\ \\ W=8

Also:

A_{s}=s^2 \\ \\ S:Side \ of \ square

From the statement of perimeters:

P_{s}=P_{r} \\ \\ \\ But: \\ \\ P_{s}=4s \\ \\ P_{r}=2W+2L \\ \\ \\ Then: \\ \\ 4s=2W+2L \\ \\ \\ But: \ W=8 \ and \ L=6 \\ \\ 4s=2(8)+2(6) \\ \\ 4s=16+12 \\ \\ 4s=28 \\ \\ \boxed{s=7cm}

Finally, <em>the length of the square​ that has the same perimeter as the rectangle is of length 6cm and area of 48cm² is 7cm</em>

<h2>Learn more:</h2>

Perimeter: brainly.com/question/9969486

#LearnWithBrainly

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Answer:

3

Step-by-step explanation:

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