7. Raj builds a side table in the shape of a cube. Each edge of the cube
measures 20 inches. Raj wants to cover the top and four sides of the table
with ceramic tiles. Each tile has an edge length of 5 inches. How many
tiles will he need?

80 tiles

Step-by-step explanation:

A cube has 6 sides, but for this cube, we only want to cover 5 of them.

We want to find the surface area of the 5 sides of the cube. This is denoted by the formula: A = , where s is the side length. Each edge of the cube is 20 inches. So, s = 20, and: A = 5 * = 5 * 400 = 2000 inches squared.

Now, we have square tiles, each with edge length 5. So, the area that each tile will cover is 5 * 5 = 25 inches squared.

To find how many tiles can cover 2000 inches squared of floor, we divide 2000 by 25:

2000/25 = 80

So, the answer is 80 tiles.

Hope this helps!

80 tiles

Step-by-step explanation:

20/5 = 4

For one side: 4×4 = 16 tiles are needed

For 5 sides: 5 × 16 = 80 tiles are needed

b) the dogs need to shift their focus to human scent.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)