5x If the measurement of a central angle is
find the length of its intercepted arc in a circle with a radius of 15 inches.
a 33.4 inches
b. 35.6 inches
C. 37.5 inches
d. 39.3 inches

This question is incomplete

Complete Question

If the measurement of a central angle is 5pi/6, find the length of its intercepted arc in a circle with a radius of 15 inches

a 33.4 inches

b. 35.6 inches

C. 37.5 inches

d. 39.3 inches

d. 39.3 inches

Step-by-step explanation:

We are to find the Arc length of the circle

To solve the above question, the formula is given as:

Arc length = Central angle × radius

From the above Question, we are given:

Central angle = 5pi/6 = 5π/6

Radius = 15 inches

Hence,

Arc length = 5π/6 × 15 inches

Arc length = 235.61944901923448/ 6

Arc length = 39.26990817 inches

Approximately , the Arc length

= 39.3 inches.

Therefore, Option d is the correct answer.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1