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Olin [163]
3 years ago
13

the depth of the ocean and a buoy reaches a maximum of 6 feet and a minimum of 2 feet. the depth d (in feet) of the ocean is mod

eled by h=2 sin pi/6t + 4 where t is the time (in hours) with t=0 representing 12 a.m.

Mathematics
1 answer:
WARRIOR [948]3 years ago
3 0
C.) 5 = 2 sin pi/6 t + 4
2 sin pi/6 t = 5 - 4 = 1
sin pi/6 t = 1/2
pi/6 t = arcsin (1/2) = 2n pi + pi/6, (2n + 1)pi - pi/6 = pi/6(12n + 1), pi/6(12n + 5)
t = 12n + 1, 12n + 5, n = 0, 1, 2, . . . 
t = 1, 5

Therefore, the depth is 5 at 1 a.m. and at 5 a.m.
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The solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3

<h3>How to simplify algebraic equations?</h3>

We want to simplify the algebraic equation;

1000(7x - 10) = 50(292 + 100x)

The first step is to use distributive property of equality to expand the bracket to get;

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Thus, we can conclude that the solution to the given algebraic equation 1000(7x - 10) = 50(292 + 100x) is; x = 12.3

Read more about algebraic equations at; brainly.com/question/723406

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