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Aliun [14]
3 years ago
15

WILL GIVE BRAINLIEST!!! Given tan(theta) = 4/3 and pi < theta < (3pi)/2, find cos(2theta).

Mathematics
2 answers:
Korvikt [17]3 years ago
4 0

Answer:

answer d on edge

Step-by-step explanation:

the guy above got me

babymother [125]3 years ago
3 0

Answer:  \cos 2 \theta = \dfrac{-7}{25}

Step-by-step explanation:

Given: \tan \theta = \dfrac{4}{3}  and  \pi < \theta< \dfrac{3\pi }{2}

To find: \cos 2 \theta

Now as we know

\cos 2x = \dfrac{1- \tan ^2 x}{1+ \tan ^2 x}

So we have

\cos 2 \theta = \dfrac{1-(\dfrac{4}{3} )^2}{1+(\dfrac{4}{3} )^2} \\\\\Rightarrow \cos 2 \theta = \dfrac{1- \dfrac{16}{9} }{1+ \dfrac{16}{9} } = \dfrac{\dfrac{9-16}{9} }{\dfrac{9+16}{9}} = \dfrac{-7}{25}

Therefore d. is the correct option

Hence , \cos 2 \theta = \dfrac{-7}{25}

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Answer:

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Step-by-step explanation:

P=length of each of the 4 pieces

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IgorC [24]

Answer

According to newton law of cooling

\dfrac{d T}{dt} = k (T - T_a)

and

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now At Ta = 100

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T₁ = 12° C

T(0) = Ce^{0} + T_a

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now,

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k = ln{\dfrac{88}{90}}

at time equal to t

T(t) = 70

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70 = -90(\dfrac{88}{90})^t + 100

(\dfrac{88}{90})^t = \dfrac{1}{3}

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t = 48.88 s

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b) time taken to reach 98°C

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t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})

t = 390 s

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5 0
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