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ElenaW [278]
3 years ago
12

What is the central angle of the arc

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

Answer:

20°

Step-by-step explanation:

\because \: l =  \frac{ \theta}{360 \degree}  \times c \\  \\  \therefore \:  \frac{1}{3}  =  \frac{ \theta}{360 \degree}  \times 6 \\  \\  \therefore \:  \theta =  \frac{360 \degree}{3 \times 6}  \\  \\  \therefore \:  \theta =  \frac{360 \degree}{18}  \\  \\ \therefore \:  \huge \red{ \boxed{ \theta = 20 \degree}} \\

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Answer:

  D.  (-3, -2)

Step-by-step explanation:

The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.

Using (x, y) = (-2, -3):

  x = y -1  ⇒  -2 = -3 -1 . . . . False

Using (x, y) = (-3, -2):

  x = y -1  ⇒  -3 = -2 -1 . . . .True

  2x = 3y  ⇒  2(-3) = 3(-2) . . . . True

The solution is (-3, -2).

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If you'd like to solve the set of equations, substitution for x works nicely.

  2(y -1) = 3y

  2y -2 = 3y . . eliminate parentheses

  -2 = y . . . . . . subtract 2y

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The solution is (x, y) = (-3, -2).

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2 years ago
Share 120 in the ratio 1:5
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