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Westkost [7]
3 years ago
11

L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r

adians. L(t)=52 sin (2pie/365 t) =728 What is the first day after the spring equinox that the day length is 750 minutes?
Mathematics
2 answers:
Kamila [148]3 years ago
8 0

Answer:

25 is answer from k han acedmy

Step-by-step explanation:

SVETLANKA909090 [29]3 years ago
4 0

Answer:

Given that:

L(t) = 52\sin(\frac{2 \pi t}{365})+728

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

750= 52\sin(\frac{2 \pi t}{365})+728

Subtract 728 from both sides we get;

22= 52\sin(\frac{2 \pi t}{365})

Divide both sides by 52 we get;

0.42307692352= \sin(\frac{2 \pi t}{365})

or

\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)

Simplify:

\frac{2 \pi t}{365} =0.43683845

or

t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}

Simplify:

t \approx 25 days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

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