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poizon [28]
3 years ago
12

Mark is installing a mosaic tile backsplash and the shape of the tiles are shaped like regular octagons. Each tile has a length

from side to side of 6 in. Once Mark gets a few pieces on the wall, he realized that there is a gap that the tiles do not cover. What size tile must he get to fill the gaps?
Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:

square with sides of 6 in

Step-by-step explanation:

Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.

Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.

Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in

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Simplify the expression 2x+3(x-6)
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Answer:

5x-18

Step-by-step explanation:

2x+3x-18

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if ur in college how do u not know this :P

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An athlete ran 42000 m in 2 hour 20 minutes.- 140min
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6 0
3 years ago
Garret grew 2 2/3 inches each year for the past 3 years. How many inches total has Garret grown in the past 3 years ?
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8 inches,

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7 0
3 years ago
Explain the steps necessary to convert a quadratic function in standard form to vertex form
SIZIF [17.4K]

Answer:

See below.

Step-by-step explanation:

Here's an example to illustrate the method:

f(x) = 3x^2 - 6x + 10

First divide the first 2 terms by the coefficient of x^2 , which is 3:

= 3(x^2 - 2x) + 10

Now  divide the -2 ( in -2x) by 2 and write the x^2 - 2x in the form

(x - b/2)^2 - b/2)^2  (where b = 2) , which will be equal to x^2 - 2x in a different form.

= 3[ (x - 1)^2 - 1^2 ] + 10 (Note: we have to subtract the 1^2 because (x - 1)^2 = x^2 - 2x  + 1^2  and we have to make it equal to x^2 - 2x)

= 3 [(x - 1)^2 -1 ] + 10

= 3(x - 1)^2 - 3 + 10

= <u>3(x - 1)^2 + 7 </u><------- Vertex form.

In general form the vertex form of:

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This is not easy to commit to memory so I suggest the best way to do these conversions is to remember the general method.

3 0
3 years ago
Read 2 more answers
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