Answer:
18.54
Step-by-step explanation:
sine is opposite/hypotenuse, and you have opposite (b=15), so use that
sin(54) = 15/c
c = 15/sin54
then use calculator
c = 18.54
<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
<span>4 ft x 2 ft = 8 ft</span>² → 8 ft² x 2 = 16 ft²
<span>2 ft x 3 ft = 6 ft</span>² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²<span>
</span>
Combine like terms:
3x-2>5x+10 becomes -12 > 2x
Dividing both sides by 2, we obtain x < -6
