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NeX [460]
2 years ago
10

1. Find the radian measure for 150 degrees.

Mathematics
2 answers:
Andrews [41]2 years ago
7 0

Step-by-step explanation:

1)150° 's radian measure

\rm \implies150 \: Deg × π/180 = 2.618 \: Radians

2)π/2 's degree measure

\rm \:  \implies \: π/2 × 180/π= 180/2 = 90  \: degrees

Basically,we need to use formulas to solve these type of sums.

Nutka1998 [239]2 years ago
5 0

Answer:

Step-by-step explanation:

1. 150 * π/180

= 150π/180

= 5π/6

=2.62

2. π/2

π/2 * 180/π

= 90 degrees

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We would need to figure out the gradient of each "pair", as provided in the image.

The equation of the gradient is found by,

m = \frac{ y_{2 } - y_{1 } }{ x_{2 } - x_{1 } }

Parallel lines mean they have the same gradient
Perpendicular lines will follow the formula m_{1 } *  m_{2 } = -1
"None" will apply to those that do not follow either.

Now we calculate the gradient of the pairs given to us by substituting the x and y values.

RS = \frac{2-5}{8-(-1) }
      = -\frac{1}{3}

TU = \frac{-2 - 5}{-4 -5}
      = \frac{7}{9}

Therefore, the "pair" RS and TU will be NONE.

ST = \frac{5 - 2}{5-8}
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RU = \frac{-2 -5}{-4 -(-1) }
      = \frac{7}{3}

Therefore, the "pair" ST and RU is also NONE.

Hope this helped! Feel free to ask me if there's any part of the working you don't understand :)
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Answer:

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Step-by-step explanation:

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