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juin [17]
3 years ago
7

Find the distance between each pair of points. Round your answer to the nearest tenth. (-6, -5) and (2, 0)

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

The answer is

<h2>9.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance between them is

d =  \sqrt{ ({ - 6 - 2})^{2} +  ({ - 5 - 0})^{2}  }  \\  =  \sqrt{ ({ - 8})^{2}  + ( { - 5})^{2} }  \\  =  \sqrt{64 + 25}  \\  =  \sqrt{89}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  = 9.4339811

We have the final answer as

<h3>9.4 units to the nearest tenth</h3>

Hope this helps you

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In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
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Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

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  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

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