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nadya68 [22]
3 years ago
8

What’s the distance between polar coordinates (3,−60°)and(−5,105°) ?

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

2 Units

Step-by-step explanation:

THere may be easier ways to do it, but I would just convert them to rectangular and find the distance between those.

(3, -60) becomes (3cos(-60), 3sin(-60)) = (3/2, -3*sqrt(3)/2)

(-5, 105) becomes (-5cos(105), -5sin(105)) = (5/2, -5sqrt(3)/2)

Now just use the distance formula, or in other words think of the two points as being connected by a horizontal and vertical line to form a right triangle.  The idea is to find the hypotenuse of that right triangle.

sqrt((3/2 - 5/2)^2 + (-3sqrt(3)/2 + 5sqrt(3)/2)^2)

sqrt((-2/2)^2 + (2*sqrt(3)/2)^2)

sqrt(1 + 3)

sqrt(4)

2

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3 years ago
What is 2160 minus 1600 long way
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Hey there, Lets solve this problem together. 

The First step is to line up the numbers. 

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\mathrm{Subtract\:each\:column\:of\:digits,\:starting\:from\:the\:right\:and\:working\:left} 

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3 years ago
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5 0
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Step-by-step explanation:

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Read 2 more answers
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