Ryan is using tiles in his bathroom. He chooses 1" x 2" tiles for the border and would like tiles that are similar to the border as the interior tiles. Interior tiles will be larger by scale factor of 3.5. What are the dimensions of the interior tiles?

The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".

Step-by-step explanation:

Since the interior tiles must be 3.5 larger then the border tiles to calculate the dimensions of the interior tiles we first need to find the area of the border tiles. This is shown bellow:

area border = 1*2 = 2 inches²

The area of the interior tiles is 3.5 larger than that, so we have:

area interior = 2*(area border) = 2*3.5 = 7 inches²

In order to maintain the same proportions as the border tiles we must find a width that is two times the height, so we have:

area interior = width*height = 2*height*height = 2*height²

7 = 2*height²

height² = 3.5

height = sqrt(3.5) = 1.871

width = 2*height = 2*1.871 = 3.74166

The area of the interior tiles must be 7 inches ² with dimensions 1.871" x 3.742".

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.