Mark is installing a mosaic tile backsplash and the shape of the tiles are shaped like regular hexagons. Each tile has a radius of 2in and he needs to cover a rectangular area that measures 132 in by 18 in. Each piece of tile costs 3.49 to buy. How much will the tile cost Mark to purchase?

tile will cost   Mark to purchase .

Step-by-step explanation:

Here we have , Mark is installing a mosaic tile backsplash and the shape of the tiles are shaped like regular hexagons. Each tile has a radius of 2 in and he needs to cover a rectangular area that measures 132 in by 18 in. Each piece of tile costs 3.49 to buy. We need to find How much will the tile cost Mark to purchase . Let's find out:

We know that area of hexagon is given by :

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According to question , s=2 inch

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Now , area of rectangular area :

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Now , Number of tiles required is : (Area of rectangle )( Area of hexagon )

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It's given that , one tile cost 3.49 , So   will cost :

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Therefore , tile will cost   Mark to purchase .

what is the information provided?

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!