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Ahat [919]
2 years ago
10

Point C has the coordinates (-1,4) and point D has the coordinates (2,0). What is the distance between points C and D? Is ____ u

nits

Mathematics
1 answer:
beks73 [17]2 years ago
3 0

Answer: 5 units

Step-by-step explanation:

Distance = \sqrt{(x_{2 }- x_{1 })^2 + (y_{2 }- y_{1 })^2\\

= \sqrt{(2_ }- (-1)_{ })^2 + (0_{ }- 4_{ })^2

= \sqrt{(2_{ }+ 1_{ })^2 + (-4)^2_

= \sqrt{3^2+(-4)^2}

= \sqrt{9+16}

= \sqrt{25}

= 5 units

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daser333 [38]

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Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ±\sqrt{(1-} \frac{cos2A}{2} )

As required,  set A = \frac{a}{2}   &   cos a=  \frac{12}{13}    ,thus we get

sin \frac{a}{2} =± \sqrt{\frac{1-cos a}{2} }  

∴ sin\frac{a}{2} =±\sqrt{\frac{1-\frac{12}{13} }{2} } = ± \frac{1}{\sqrt{26} }

   since ,360° < \frac{a}{2} <450°

             ,180° < \frac{a}{2} <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

   

5 0
3 years ago
For every 1 girl in Mr Hegarty's class there are 4 boys. What is the ratio of boys to girls in the class? Give your answer in it
MakcuM [25]

Answer:

4:!

Step-by-step explanation:

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3 0
3 years ago
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Elena-2011 [213]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
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Hitman42 [59]

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Step-by-step explanation:

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2 years ago
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Illusion [34]
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The answer is 4 1/2 or 4.5.
I hope this helps ^-^
7 0
3 years ago
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