The sprinkler turns through 3/4 of the circle. what is the measure of the angle it turns through?

270 degrees because 1/4 of a circle is 90 degrees

Step-by-step explanation:

Since the angle measure of a full circle is 360 degrees, find 0.75 of 360.

The measure of the angle the sprinkler turns through is 270 degrees.

Another way to do this would be to take 1/4 of a circle, 90 degrees, and multiply it by 3!

D

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

      = 18² + 12² - ( 2 × 18 × 12 × cos75° )

      = 324 + 144 - 432cos75°

      = 468 - 111.8

      = 356.2 ( take the square root of both sides )

AC = ≈ 18.9

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Using the Sine rule to find ∠ A

= ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = , then

∠ A = ( ) ≈ 66.9°