Please help m The measure of a central angle is 18°. If the length of its intercepted arc is xπ units, what is the circumference of the circle?
A.( x/20)π units
B. (x/18)π units
C. (x/10)π units
D. 18xπ square units
E. 20xπ square units

20xπ units

Step-by-step explanation:

Use the formula for the length of an arc.

θ/360 × 2πr

The length of the arc and the central angle is already given.

18/360 × 2πr = xπ

Solve for r.

r = (xπ)/(18/360)/(2π)

r = 10x

The radius of the circle is 10x.

The circumference of a circle is 2πr.

2π(10x)

20xπ

The circumference of the circle is 20xπ units.

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.