Answer: 11,544 pieces of candy are made per hour.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Gallons of corn syrup used: 8
</em>
- <em>Pieces of candy produced: 1,776
</em>
- <em>gallons of corn syrup per hour: 52
</em>
If we apply proportions:
8 /1,776 = 52/x
Where x is the pieces of candy made per hour.
Solving
x = 52x1, 776 /8
x = 11,544
11,544 pieces of candy are made per hour.
La of sine:
sinC/c = sinB/b==> sin 37°/8 = sin B/12 ==> sin B = 0.903
arcsinB or sin⁻¹ B = 64.5°, & sin (B°) = sin (180° - B°), then
sin(64.5) = sin(180°-64.5°) ==> B = 64.5° or 115.5°