Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
Answer:
2,160 pencils
Step-by-step explanation:
Large boxes = 12
Small boxes = 18
Each large box contains 144 pencils . Each small box contains 24 pencils
Total pencil in large boxes = Total large boxes × number of pencils per box
= 12 × 144
= 1,728 pencils
Total pencil in small boxes = Total small boxes × number of pencils per box
= 18 × 24
= 432 pencils
Estimate the total number of of pencils
Total number of pencils = total pencils in large boxes + total pencil in small boxes
= 1,728 pencils + 432 pencils
= 2,160 pencils
It is better to have an underestimate than an overestimate so that you won't disappoint your buyers when they request for a quantity of supply. If it is underestimated; you can meet demand, if it is overestimated; you can't meet demand
The answer is : 10416.67ft^3
Total mold spores at end of 9.30 am is 26901.
Step-by-step explanation:
Number of molds = 14000
Rate = 9.7% per hour
Number of hours = 12 am to 9.30 am = 9
hours
Growth of mold = 14000 * 9.7% * 9
= 12901
Total mold spores at end of 9.30 am = 14000 + 12901
= 26901
Hence, the expected number of mold spores at 9.30 am is 26901.