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denis-greek [22]
2 years ago
9

Beginning with a regular hexagon, a 6-pointed star is formed by constructing equilateral triangles, whose sides are the same len

gth as the sides of the hexagon, on each side of the hexagon as shown. One of the equilateral triangles is shaded. The shaded area is what fractional part of the entire area of the 6-pointed star? Express the answer as a fraction in simplest form.
Mathematics
2 answers:
galina1969 [7]2 years ago
6 0

Answer:

1/12

Step-by-step explanation:

Anna71 [15]2 years ago
6 0

Answer:

1/12

Step-by-step explanation:

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15 feet.

Step-by-step explanation:

A bulletin board has been shown in the figure below.

Where the width of the board AB = DC = 4\frac{1}{2} = 4.5 feet

and the length of the board AD = BC = 6 feet

As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.

In right angle triangle <em>ADC</em>, using Pythagorean Theorem,

AC^2=AD^2+DC^2  = 6^2+4.5^2=36+20.25=56.25

AC= \sqrt{56.25} = 7.5 feet

Similarly in triangle <em>BDC</em>,

BD^2=BC^2+DC^2 = 6^2+4.5^2=36+20.25 =56.25

BD=\sqrt{56.25} = 7.5 feet

Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet

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Line E'F' would also double.


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A circular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b
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D. 108 degrees

Step-by-step explanation:

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plug it into the formula and solve:

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Marie has two coupons

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Her first coupon ti be used is $50 off a purchase above $300.

So Marie have $400 now

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15% off $400 = 400-60

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