Mathematics, 07.12.2020 17:30, Nowellkwaku

A restaurant owner is replacing the restaurant's bathroom floor with square tiles. The tiles will be laid side-by-side to cover the entire bathroom with no gaps, and none of the tiles can be cut. The floor is a rectangle that measures 24 feet by 18 feet.

Answers: 3

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Answers

answered: rbull7072

1. 6ft x 6ft.

2. 12 tiles.

3. 1ft, 2ft and 3ft.

Step-by-step explanation:

The complete question is asking for

1. What is the largest possible tile size she could use? Write the side length in feet. Explain how you know it’s the largest possible tile.

2. How many of these largest size tiles are needed?

3. Name more tile sizes that are whole numbers of feet that she could use to cover the bathroom floor. Write the side lengths (in feet) of the square tiles.

This question is a factor and multiple problem and we will be working with Higest Common Factor(H.C.F).

1. To find the largest possible tile, we need to know the H.C.F of 24 and 18. Looking for the H.C.F we have 6. Therefore 6 is the side length of this tile and the largest possible tile would be 6ft x 6ft.

2. Since the area of the bathroom is 24 x 18 = 432, the total tiles needed if the largest possible is used will be 432/36 = 12 tiles.

3. Tiles with side lengths that are factors of 6ft can be used. These are 1ft, 2ft and 3ft.

answered: Guest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

answered: Guest

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

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A restaurant owner is replacing the restaurant's bathroom floor with square tiles. The tiles will be...