Respuesta :
Answer:
87 mm.
Step-by-step explanation:
B(t) = 80 + 7sin(pi t/12)
t = 0600 - 0000 = 6 hours.
B(6) = 80 + 7 (sin6pi/12)
B(6) = 80 + 7 sin (pi/2)
= 80 + 7*1
= 87 mm (answer).
Measure of person's resting diastolic blood pressure is equals to 87mmHg.
What is measure?
" Measure is defined as the how much is the given quantity , it can be any measurable quantity."
Value used
[tex]sin (\frac{\pi }{2} )=1[/tex]
According to the question,
't' represents the time measured in hours
B(t) represents the measure of diastolic blood pressure
Given,
[tex]B(t) =80+7sin(\frac{\pi t}{12} )[/tex] _______(1)
t = 12.00 midnight - 6.00 a.m.
= 6 hours _______(2)
Substitute the value of 't' from (2) in (1) to get the measure of diastolic blood pressure,
[tex]B(6) =80+7sin(\frac{\pi (6)}{12} )\\\\\implies B(6) =80+7sin(\frac{\pi}{2} )\\\\\implies B(6) =80+7(1)\\\\\implies B(6) = 87 mmHg[/tex]
Hence, measure of person's resting diastolic blood pressure is equals to 87mmHg.
Learn more about measure here
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