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3 years ago

8

Which statements are true about tessellations?

1 answer:

PIT_PIT [208]3 years ago

6 0

The correct answer is 1,3& 4.

A figure can tessellate only if its interior angle is a factor of 360. For an equilateral triangle, each interior angle is 60°; 360÷60 = 6, so this works.

For a regular hexagon, each interior angle is (6-2)(180)/6=4(180)/6=720/6=120; 360÷120=3, so this works.

For a regular pentagon, each interior angle is (5-2)(180)/5=3(180)/5=540/5=108; 360÷108=3.3. This does not divide evenly, so it does not work.

For a square, each interior angle is 90°; 360÷90=4, so this works.

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kogti [31]

Step-by-step explanation:

Putting the value of r

3 ( 1/6) 2

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4 years ago

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3 years ago

Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long. 81 108 243

jekas [21]

Answer:

Area= $339.2920in^2 \ or \ 108\pi \ in^2$

Step-by-step explanation:

Area of circle is given as:

$A=\pi\ r^2$

Where $r=radius$

To find radius of a circle circumscribing an equilateral triangle, we use the expression

$r=\frac{a\sqrt3}{3}$

Where, a is the length of sides of the equilateral triangle. Therefore:- $r=\frac{18\sqrt3}{3}\\r=6\sqrt3 \ or \ 10.3923in$

We can then proceed and calculate the area of the circle as follows:-

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*The attached picture illustrates what the circumscribed equilateral triangle looks like

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4 years ago

Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and a

mestny [16]

Answer:

η²

SSbetween / SStotal

η² = 0.0145757

Step-by-step explanation:

Effect size, η² = SSbetween / SStotal

SSbetween is the sum of square between the groups in the experiment. It is sometimes denoted as SSb.

The sum of square Total, SStotal measures the entire variability in these dataset.

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η² = SSbetween / SStotal

Effect size η²= 3,095.00 / 212,339.66

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3 years ago

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vivado [14]

Answer:

the diameter, d, must be 6

Step-by-step explanation:

Formula for circumference of a circle with diameter d is C = πd.

If C = 6π = πd, then the diameter, d, must be 6.

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4 years ago