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Find the approximate value of x in degrees on the interval [0, 2π], rounded to the nearest tenth: 4241/1000 = 0.4241.

User Rcoyner
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Final answer:

To find the approximate value of x in degrees, we can set up a proportion: 0.4241/2π = x/360. Simplifying this expression gives x ≈ 24.2366, which rounds to 24.2 degrees.

Step-by-step explanation:

To find the approximate value of x in degrees on the interval [0, 2π], we can use the fact that 2π radians is equivalent to 360 degrees. So, we can set up a proportion:

0.4241 / 2π = x / 360

Cross-multiplying, we have:

x = (0.4241 * 360) / 2π

Simplifying the expression, we get:

x ≈ 24.2366

Rounding to the nearest tenth, x is approximately 24.2 degrees.

User Xpredo
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