Mathematics
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OpenStudy (anonymous):
The function f(t) = 3 cos(pi/6t) + 5 represents the tide in Blastic Sea. It has a maximum of 8 feet when time (t) is 0 and a minimum of 2 feet. The sea repeats this cycle every 12 hours. After nine hours, how high is the tide?
12 years ago
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OpenStudy (anonymous):
@amistre64
@Nurali
@robtobey
12 years ago
OpenStudy (amistre64):
let t=9
12 years ago
OpenStudy (anonymous):
yes i subsituted it into the equation and got 9.701 and thats not a choice
12 years ago
OpenStudy (anonymous):
the answer is 5?
12 years ago
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OpenStudy (anonymous):
well schitt mines was in degrees thanks
12 years ago
OpenStudy (anonymous):
could you help with another man?
12 years ago
OpenStudy (amistre64):
maybe
12 years ago
OpenStudy (anonymous):
k
12 years ago
OpenStudy (anonymous):
Simplify: (sin Θ − cos Θ)2 − (sin Θ - cos Θ)2
12 years ago
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OpenStudy (amistre64):
its a difference of squares
12 years ago
OpenStudy (anonymous):
Simplify: (sin Θ − cos Θ)^2 − (sin Θ - cos Θ)^2
12 years ago
OpenStudy (amistre64):
x^2 - a^2 = (x-a)(x+a)
12 years ago
OpenStudy (anonymous):
?
12 years ago
OpenStudy (amistre64):
isnt that just zero?
12 years ago
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OpenStudy (anonymous):
well thats a choice
12 years ago
OpenStudy (amistre64):
let sin-cos = r
r^2 - r^2 = 0
12 years ago
OpenStudy (anonymous):
hmm
12 years ago
OpenStudy (anonymous):
is zero the answer i was leaning towards sin^2
12 years ago
OpenStudy (amistre64):
assuming theres no mistype in it
12 years ago
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OpenStudy (amistre64):
you have:\[(\color{red}{sin-cos})^2\color{green}-(\color{red}{sin-cos})^2\]
\[(\color{red}{r})^2\color{green}-(\color{red}{r})^2\]
12 years ago
OpenStudy (anonymous):
so its basically like adding 1 and negative 1?
12 years ago
OpenStudy (amistre64):
yeh
12 years ago
OpenStudy (anonymous):
k how about another man?
12 years ago
OpenStudy (anonymous):
your a great help
12 years ago
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OpenStudy (anonymous):
What is the sine value of 5 pi over 3?
12 years ago
OpenStudy (anonymous):
@amistre64
12 years ago
OpenStudy (anonymous):
@amistre64 i need one more plz man
12 years ago
OpenStudy (amistre64):
calculator sin(5pi/3) thats the best i could work it
12 years ago
OpenStudy (amistre64):
its the same as 6pi/3 - pi/3
so id say it the sin of 60 degrees
12 years ago
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OpenStudy (anonymous):
i actually figured it out
12 years ago