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3 years ago

On Captain Hook's map, there are palm trees at - 45 steps, and Peter Pan is watching

Mathematics

1 answer:

KonstantinChe [14]3 years ago

8 0

Answer:

40 steps

Step-by-step explanation:

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

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3 years ago

you purchase 723 shares of Nike at $47.75 per share and one year later you are ready to sell your 723 shares for the current mar

Anettt [7]

The answer to this question is "you gained profit". The amount of money you gain from selling the stocks now is higher compared to the amount you spent a year ago. The amount you gain from the shares is ($62.25) x 723 = $45006.75. The amount you spent last year is ($47.75) x 723 = $34523.25. The difference between the values is $10483.47. Thus, you gained $10483.47.

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3 years ago

A science teacher showed an image of a carpenter bee on a wall. The image is 10 times as large as the actual bee.

Fudgin [204]

PLease state ure question if the bee is on a wall.Whaat size is the bee?

4 0

3 years ago

I WILL GIVE BRAINIEST

Anit [1.1K]

Answer:

10 hours, 30 minutes.

Step-by-step explanation:

Distance ÷ Speed = Time

525 ÷ 50 = 10.5

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3 years ago

Can some one help me set up an equation out of these word problems? PLEASE HELP!!!

Elanso [62]

1: 2/5=emails 3.6hrs=emails, 3.6=2/5 5-2=3 3.6•3=__hours of work

2. 294+83=$__

3. 3•x=hw 64/4=__•3=__hrs on math

4. Idk sorry

Sorry if some of these are wrong but I'm pretty sure there right.

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3 years ago

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