A circle has a central angle measuring StartFraction 3 pi Over 4 EndFraction radians that intersects an arc of length 45 in. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for Pi.

The radius measures 19.1 inches (approximately)

Step-by-step explanation: The central angle in the sector has been given as 3Pi/4 radians. We start by converting the radians to degrees.

1 radian = 180/Pi (or 57.296 degrees)

Hence 3Pi/4 converted to degrees becomes,

= 3Pi/4 x 180/Pi

= (3 x 180)/4

= 135

Having determined the central angle to be 135 degrees, and the length of the arc is 45 inches, the radius can be calculated by substituting for the values into the formula for length of an arc.

Length of an arc = (X/360) x 2Pi x r

45 = (135/360) x 2(3.14) x r

45 = (3/4) x 3.14 x r

By cross multiplication we now have

(45 x 4)/3 x 3.14 = r

180/9.42 = r

19.1083 = r

Therefore, the radius rounded to the nearest tenth equals 19.1 inches.

d. vertex

step-by-step explanation:

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3