2 years ago

What value of x makes the equation 0.2(16x – 48) = -0.4(x – 3) true?

Mathematics

2 answers:

Evgesh-ka [11]2 years ago

6 0

I believe it’s 3 , I’m not fully sure but from what I calculated I got 3

fredd [130]2 years ago

5 0

3.2x-9.6=-.4x+1.2
3.2x=-.4x+10.8
3.6x=10.8
X= 3

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How to find the θ in this equation: tan(θ+16°)=1/tan(θ+60°) by using the trigonometric identities?thanks

DedPeter [7]

Answer:

$\huge \theta =7°$

Step-by-step explanation:

$tan( \theta + 16 \degree) = \frac{1}{tan( \theta + 60 \degree) } \\ tan( \theta + 16 \degree) =cot( \theta + 60 \degree) \\ tan( \theta + 16 \degree) = tan \{90 \degree - (\theta + 60\degree) \} \\ \theta + 16 \degree = 90 \degree - \theta - 60\degree \\ \theta +\theta = 30 \degree - 16\degree \\2 \theta = 14 \degree \\ \theta = \frac{14 \degree}{2} \\ \huge \red{ \boxed{\theta =7 \degree}}$