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3 years ago

Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is

Mathematics

1 answer:

kotegsom [21]3 years ago

5 0

Answer:

11.3

Step-by-step explanation:

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If cos⁡ x=−45, and 180° < x < 270°, what is tan⁡(2x)?

iVinArrow [24]

$Tan2x =\frac{-24}{7}$

Step-by-step explanation:

Here we have , cos x = -4/5 ( corrected as given -45 which is not possible ) ,

180° < x < 270° i.e. in third quadrant . We need to find tan⁡(2x) . Let's find out:

⇒ $Tan\alpha = \frac{sin\alpha }{cos\alpha }$

⇒ $Tan\alpha = \frac{\sqrt{1-(cos\alpha)^2} }{cos\alpha }$

⇒ $Tan\alpha = \frac{\sqrt{1-(\frac{-4}{5})^2} }{\frac{-4}{5} }$

⇒ $Tan\alpha = \frac{-5}{4}\sqrt{1-(\frac{16}{25}) }$

⇒ $Tan\alpha = \frac{-5}{4}\sqrt{(\frac{25-16}{25}) }$

⇒ $Tan\alpha = \frac{-5}{4}(\frac{3}{5}) }$

⇒ $Tan\alpha = \frac{-3}{4}$ , since in third quadrant . $Tan\alpha = \frac{-3}{4}$ remains same .

Now , $Tan2x = \frac{2tanx}{1-(tanx)^{2}}}$

⇒ $Tan2x = \frac{2tanx}{1-(tanx)^{2}}}$

⇒ $Tan2x = \frac{2(\frac{-3}{4})}{1-(\frac{-3}{4})^{2}}}$

⇒ $Tan2x = \frac{-3}{2}(\frac{16}{7})$

⇒ $Tan2x =\frac{-24}{7}$

Therefore, $Tan2x =\frac{-24}{7}$ .

5 0

4 years ago

X/8.5=16/4 what's the answer

elixir [45]

Answer: x = 34

Explanation:

x/8.5 = 16/4
x/8.5 = 4
x = 4 x 8.5
x = 34

5 0

3 years ago

Express 3/4% as a fraction

Simora [160]

the answer is

$\frac{3}{400}$

3 0

3 years ago

PLS HELP ASAP THIS IS DUE IN 10 MINUTES

olchik [2.2K]

Answer:A number decreased by 40

Step-by-step explanation: I really don't feel like explaining this lol...

8 0

3 years ago

Which expression is equivalent to 24x+12

sukhopar [10]

Hello! :)

Answer:

$\boxed{12(2x+1)}$

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you rewrite the problem of 24.

12*2=24

12*2x+12

Then, you factor it out by the common term of 12.

=12(2x+1) is the final answer.

Hope this helps!

Have a nice day! :)

-Charlie

Thanks!

3 0

3 years ago