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Mademuasel [1]
3 years ago
7

The Hobby-Eberly Telescope in Fort Davis, Texas, is the largest optical telescope in North America. The primary mirror for the t

elescope consists of 91 smaller mirrors forming a regular hexagon shape. Each of the 91 smaller mirrors is itself a regular hexagon with a side length of 0.5 m. Which statement is false?
A.
The perimeter of each small mirror is 3 m.
B.
The apothem of each small mirror is approximately 43.3 cm.
C.
The area of each small mirror is approximately 1.299 m^2
D.
The radius of each small mirror is 0.5 m.
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0
A ) P = 6 * 0.5 = 3 m ( correct )
B ) Apothem = 0.5 * √3 / 2 = 0.433 m = 43.3 cm  ( correct )
C ) A = 6 * 0.5² √3 / 4 = 0.649519 m² ≠ 1.299 m² ( false )
D ) r = 0.5 m ( correct )
Answer: C ) is false
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Fynjy0 [20]

Answer:  see below

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is:    y = a(x - h)² + k     where

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a) y = 2(x - 2)² + 5

        ↓       ↓      ↓

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Domain: x = All Real Numbers

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Axis of Symmetry: x = h  →  x = -2  

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Range:  y ≥ k → y ≥ -2

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