Find the l. c.m of 30, 40 and 75

600

Step-by-step explanation:

30 = 2 x 3 x 5

40 =2 x 2 x 2 x 5

75 = 5 x 5 x 3

L.C.M = 2 x 2 x 2 x 5 x 5 x  3

           =600

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6