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monitta
3 years ago
5

D= V(x2 - 1)2 + (12 - y1)?

Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

The approximate length of segment EF is 7 unit  

Step-by-step explanation:

Given figure is the graph having E and F coordinate

The coordinate of point E = ( x_1 , y_1 ) = ( - 2 , -4 )

The coordinate of point F = ( x_2 , y_2 ) = ( 2 , 2 )

Let The distance between the points E and F = D

So, D = \sqrt{(x_2 - x_1)^{2} + ( y_2 - y_1 )^{2} }

or,  D = \sqrt{(2 - (- 2 ))^{2} + ( 2 - ( - 4 ))^{2} }

Or,  D = \sqrt{( 4 )^{2} + ( 6 )^{2} }

or, D = \sqrt{16 + 36}

∴  D = \sqrt{52}

I.e D = 7.21 unit

So, Approximate value of D = 7 unit

Hence The approximate length of segment EF is 7 unit  . Answer

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A cricular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b
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Answer:

108°

Step-by-step explanation:

Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).

The sum of all interior angles of pentagon can be calculated using following formula

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All interior angles in regular pentagon are of equal measure, so

\dfrac{540^{\circ}}{5}=108^{\circ}

Thus, the measure of each angle formed by the lights on the perimeter is 108°.

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4 years ago
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