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Answer:
x = 62.3 degrees.
Step-by-step explanation:
We should notice a certain trigonometric function that works here.
tan x = opposite side / adjacent side
tan x = 40/ 21
x = arctan (40/21) = 62.3005 degrees
x = 62.3 degrees.
Answer:
b³
Step-by-step explanation:
The lowest common multiple of the expression is b². This because, taking out a factor of b, b ( b² + 6b ), taking out a factor of b², b² ( b + 6 ),
taking out a factor of ( b + 6 ), ( b + 6 ) b². As a result b² is only the option which is not a factor.
Answer:
Paul will have no more than $ 450 in next 8 weeks.
Step-by-step explanation:
From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount (
), measured in monetary units, and week earning (
), measured in monetary units, multiplied by a number of weeks (
), dimensionless:
(1)
Now we clear the number of weeks within the formula:
If we know that 
, 
and 
, then the number of weeks is:
Paul will have no more than $ 450 in next 8 weeks.
Answer:
The radius of the inner circle is 14 ft. Since the outer circle is 3 ft more than the inner circle, its radius is 17 ft. The circumference formula is 2(pi)radius (or 2(22/7)17 in this case). The circumference of the outer circle is 106.85 ft (or 106.9 if rounding). To find the difference, you would subtract the smallest FROM the greatest:
106.85 - 88 = 18.85 ft (or 18.9 if rounding)
