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Marrrta [24]
3 years ago
14

An angle is inscribed in the circle as shown.

Mathematics
1 answer:
adell [148]3 years ago
5 0
C. 55

The angle is half of the arc of the circle it cuts in the case 110/2= 55

You can prove this to yourself by knowing that all the circle arcs will always add to the full 360 of a circle, and then that the interior 3 angles of a triangle will always add to 180

So for this case 110+150+100=360
Becomes 55+75+50=180 for the triangle that would be created by the initial angle x
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Let x be the length of rectangular plot and y be the breadth of rectangular plot

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We are also given that an area of at least 8000 square feet.

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x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

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