Answer:
60 weeks
Step-by-step explanation:
Factor both numbers 12 and 15:
Find LCM(12,15). The common factor is only 3, multiply ths common factor by all factors that remain. Then

This means that the fewest number of weeks that will pass before both machines are cleaned again in the same week is 60 weeks.
Multiply both sides by 30
30(15/18) = y
we then multiply 30*15 = 450
450/18 = y
we then get
y = 25
Since it's a right triangle, we can use SOH-CAH-TOA. So tan(x) = opposite/adjacent = 5/20
tan(x) = 1/4 = 0.25
x = arc-tan (0.25) = 14.04°
Answer:
64.01
Step-by-step explanation:
tan∅= p/b
tan58= x/40
or, x= 40×tan58
x = 64.01
Answer:
Decimal expansion of 1/5 = 0.2