A table titled Angle Measure Conversion with two columns and seven rows. The first column, Degrees, has the entries negative 180, negative 90, 0, 90, 180, 270. The second column, Gradients, has the entries, negative 200, negative 100, 0, 100, 200, 300.

Question

Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in degrees to angles in gradients. What is the slope of the line representing the conversion of degrees to gradients?

Express your answer as a decimal rounded to the nearest hundredth.

Answer 1

To find the slope of the line that represents the conversion from degrees to gradients using the points provided in the table, we can use the slope formula:

\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]

where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line.

From the table, we can take two points for our calculations. Let's take the points corresponding to \( -180^\circ \) and \( 180^\circ \):

• For \( -180^\circ \):

  • \( x_1 = -180 \)
  • \( y_1 = -200 \)

• For \( 180^\circ \):

  • \( x_2 = 180 \)
  • \( y_2 = 200 \)

Now we can plug these values into the slope formula:

\[ \text{slope} = \frac{200 - (-200)}{180 - (-180)} = \frac{200 + 200}{180 + 180} = \frac{400}{360} = \frac{10}{9} \approx 1.11 \]

Thus, rounding to the nearest hundredth, the slope of the line representing the conversion of degrees to gradients is:

\[ \boxed{1.11} \]

Answer 2

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Rephrase this sentence in prek

Answer 3

This shows that they can't reach anyone for help and are all alone on the island.