Use the net to determine the total surface area. a) 249.6 cm2 b) 499.2 cm2 c) 108 cm2 d) 278.4 cm2

The net shows an equilateral triangle with side length 24 cm.

The area of an equilateral triangle of side length s is ...

... A = (√3)/4·s²

Using the above side length, the area is

... A = (√3)/4·(24 cm)² = 144√3 cm² ≈ 249.4 cm²

Your best choice is the first one:

... A) 249.6 cm²

∠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°