If p is inversely proportional to the square of q, and p is 19 when q is 8, determine p when q is equal to 2
1 answer:
Answer:
p = 304
Step-by-step explanation:
Given p is inversely proportional to q² then the equation relating them is
p = ← k is the constant of proportion
To find k use the condition p = 19 when q is 8, then
19 = =
( multiply both sides by 64 )
k = 1216
p = ← equation of proportion
When q = 2, then
p = =
= 304
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= 200.5352283 or which could be rounded of to 200.54. Thus, confirming choice letter C and negating choices A and D.
Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.
1 degree = 60 mins
1 minute = 60 seconds
Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus 32 minutes
then multiply 0.113698 by 60 to get 6.82188 ~ 7 seconds.
therefore, conversion would yield an answer 200 degrees 32 minutes and 7 seconds.
First thing to d o is convert Radians to Degrees. 1 radians = 180/pi . So, 3.5 radians times 180 divided by
Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.
1 degree = 60 mins
1 minute = 60 seconds
Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus 32 minutes
then multiply 0.113698 by 60 to get 6.82188 ~ 7 seconds.
therefore, conversion would yield an answer 200 degrees 32 minutes and 7 seconds.