Answer:
Length = 2.823 in (to 3 decimal places)
Step-by-step explanation:
assuming that the box is a cubic box:
volume of box = in³ = 22.5 in³
volume = Length × Length × Length = (Length)³
∴ (Length)³ = 22.5
∴ Length = ∛(22.5)
using the calculator punch ∛(22.5), and the answer is:
∴ Length = 2.823 in (to 3 decimal places)
Answer:
Using the Sine Rule , which states that
In Δ ABC
∠A +∠B+∠C=180°→→Angle Sum Property of Triangle
72°+85°+∠C=180°
∠C=180° - 157°
∠C= 23°
All the angles are in degrees.
Using the table of Sine, Calculating Sine Values
Sin 72°= 0.9510
Sin 85°=0.996
Sin 23°=0.390
Among the five Options,
Option E: a= 15.09 and b=15.81 is approximately true.