Acentral angle of a circle measures 1.2 radians, and the length of the related intercepted arc measures 6 cm. what is the diameter of the circle? a) 2.5 cm b) 3.5 cm c) 5 cm d) 10 cm

d = 2r = 2(5 cm) = 10 cm  (Answer D)

Step-by-step explanation:

The arc length formula is s = r·Ф, where r is the circle radius and Ф is the central angle in radians.  Here we need to find r, and from r we need to find d.

If s = r·Ф, then s / Ф = r.  In this particular case, r = (6 cm) / (1.2 rad) = 5 cm.

If r = 5 cm, then d = 2r = 2(5 cm) = 10 cm  (Answer D)

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~