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Phoenix [80]
3 years ago
13

Somebody plz help on this real quick

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0
★ Logarithmic Reductions ★

3 + 4 {e}^{x + 1}  = 11 \\ 4 {e}^{x + 1}  = 11 - 3 \\ 4 {e}^{x + 1}  = 8 \\  {e}^{x + 1}  = 2 \\ applying \:  log_{e} \: to \: both \: the \: sides \\x + 1 = ln2 \\ x = ln2 \:  - 1


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If cos theta = 0.3090, which of the following represents approximate values of sin thetha for 0 degrees <90 degrees? A. sin t
artcher [175]

In this question, the given value is

cos \theta = 0.3090

And we have to find the value of sin theta and tan theta where theta is in first quadrant .

And in first quadrant, all are positive .

Now we use the formula, which is

sin \theta = \sqrt{1-cos^2 \theta} = \sqrt{1 - 0.3090^2} = 0.9511

And tan theta is the ratio of sin theta and cos theta, that is

tan  \theta = \frac{sin \theta}{ cos \theta} = \frac{0.9511}{0.3090} =3.078

So the correct option is B .

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