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debrielcalderon
21.08.2019 •
Mathematics
College board
the number of hours of daylight, d, in hartsville can be modeled by d = (35/3) + (7/3) (sin((2π/365) where t is the number of days after march 21. the day with the greatest number of hours of daylight has how many more daylight hours than may 1? (march and may have 31 days each. april and june have 30 days each.)
a. 0.8 hr
b. 1.5 hr
c. 2.3 hr
d. 3.0 hr
e. 4.7 hr
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Ответ:
The day with max sunlight will occur when sin(2*pi*t/365) = 1, giving the max sunlight to be 35/3 + 7/3 = 14 hours
Evaluating your equation for sunlight when t = 41, May 1 will have about 13.18 hours of sunlight.
The difference is about 0.82 hours of sunlight.
Even though it is unnecessary for this problem, finding the actual max sunlight day can be done by solving for t when d = 14, of by the use of calculus. Common min/max problems on the SAT Math Level 2 involve sin and cos, which both have min values of -1 and max values of 1, and also polynomial functions with only even powered variables or variable expressions, which have a min/max when the variable or variable expression equals 0.
For example, f(x) = (x-2)^4 + 4 will have a min value of 4 when x = 2. Hope this helps
Ответ:
m<2 = 73
Step-by-step explanation:
Since <1 and <2 are complementary (which means that they equal 90), all you have to do is subtract 17 from 90 to find your
90 - 17 = 73
thus, m<2 = 73