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mr Goodwill [35]
3 years ago
8

Find the tan of ∠T

Mathematics
1 answer:
Alecsey [184]3 years ago
5 0

Answer:

c

Step-by-step explanation:

Soh-cah-toa

Tangent = Opposite/Adjacent

(opposite side from the angle + adjacent from the angle)

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\frac{5}{4t}-\frac{t+4}{10t^2}=\frac{5\left(10t^2\right)-4t\left(t+4\right)}{40t^3}=\frac{2t\left(25t-2\left(t+4\right)\right)}{40t^3}=\frac{\left(25t-2t-8\right)}{20t^2}=\frac{23t-8}{20t^2}

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-3/4 + (-3/4)<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203%7D%7B4%7D%20%20%2B%20%20%5Cfrac%7B%20-%203%7D%7B4%7D%20
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Firstly, since these two fractions have the same denominator, add the numerators up: \frac{-6}{4}

While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: -\frac{6}{4}\div\frac{2}{2}=-\frac{3}{2}

<u>Your answer is -\frac{3}{2}</u>

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