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3 years ago

B. Marie heated water in a beaker. When she began, the water had a

Mathematics

1 answer:

UkoKoshka [18]3 years ago

4 0

Answer:

bbhcghgcgh

Step-by-step explanation:

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What are the answer I need help please?

Digiron [165]

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3 years ago

Read 2 more answers

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

The graph shows the amounts that you are collecting for selling calendars and boxes of greeting cards to raise money for the sch

yaroslaw [1]

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4 years ago

B² + 6c<br> translate to seconds

prohojiy [21]

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3 years ago

Spends at most 30, buys boxes of crayons that cost 2 per box, also buys a poster for 5. Wants to know how many boxes of crayons

My name is Ann [436]

Answer:

for 15 crayons box she can spend

Step-by-step explanation:

The computation of the number of crayons for which she can spend is shown below:

Given that

She can spend $30

And, the cost is 2 per box

So, for the number of crayons for which she can spend is

= $30 ÷ 2

= 15 crayons box

Hence, for 15 crayons box she can spend

The same would be relevant

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3 years ago