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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.

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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The diagram represents an enlargement of a rectangle by a scale factor of 4.

Tpy6a [65]

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We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

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The value of y varies directly with x2, and y = 150 when x = 5.<br> What is the value of y when x=3?

kow [346]

<span>The value of y when x=3 when the value of y varies directly with x^2, and y = 150 when x = 5 is 54. Since the value of y varies directly with x2, then: y = k * x^2, where k is constant. When y = 150 and x = 5, the value of constant is: 150 = k * 5^2. 150 = k * 25. k = 150/25. k = 6. Thus, when x = 3, the value of y will be: y = 6 * 3^2. y = 6 * 9. y = 54.</span>

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