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vazorg [7]
3 years ago
11

A regular hexagon is shown.

Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0

Answer:

(C)9 in.

Step-by-step explanation:

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Given the hexagon with a radius of 10 inches

The apothem AB divides the side of the hexagon into two equal parts of 5 Inches as seen in the attached diagram.

Using Pythagoras Theorem

10^2=5^2+|AB|^2\\|AB|^2=10^2-5^2\\|AB|^2=75\\|AB|=\sqrt{75}\\ |AB|=8.66$ in\\\approx$ 9 in (rounded to the nearest inch)

<u>The correct option is C</u>

Sveta_85 [38]3 years ago
8 0

Answer:

Its 9 just took the test

Step-by-step explanation:

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F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa
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a. Parameterize C by

\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath

with 0\le t\le1.

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\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt

=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt

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