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seraphim [82]
2 years ago
6

Mrs. Jones has eight equal-sized poster boards. She divides them evenly among three students. Between which two whole numbers do

es the number of poster boards each student gets lie?
Mathematics
1 answer:
yarga [219]2 years ago
8 0
Mrs. Jones has eight equal-sized poster boards. She
divides them evenly among three students.
Between which two whole numbers does the
number of poster boards each student gets lie?

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PLEASE HELP!! URGENT
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1. The problem statement tells you to find "the area of the hexagonal face".

2. If we assume the intent is to find the shaded area of the face only, it differs from the area of a regular hexagon in that there is a hole in the middle.

3. You must find the area of the regular hexagon, and subtract the area of the circular hole in the middle.

4. The formula for the area of a circle in terms of its radius is

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5. The formula for the area of a regular hexagon in terms of the radius of the circumcircle is

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6. The radius of the circumcircle of the regular hexagon is given. No additional information is needed.

7. You can use the trig functions of the angles of an equilateral triangle to find the apothem, but there is no need for that when you use the formula of 5.

8. All this is unnecessary. The apothem is (8 mm)·(√3)/2 = 4√3 mm ≈ 6.9282 mm, the shorter leg is (8 mm)·(1/2) = 4 mm. The perimeter is 6·8 mm = 48 mm.

9. The area of the hexagon is

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10. The area of the circle is

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11. The area of the hexagonal face is approximately ...

... 166.277 mm² - 50.265 mm² = 116.01 mm²

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