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3 years ago

Tom read a novel for 114 hours and comic books for 125 hours.

Mathematics

2 answers:

meriva3 years ago

6 0

If you're wanting to know how many total hours he read, all you have to do is add the totals together.

114 + 125 = 239

Tom read for 239 hours.

Hope this helps, and is the answer you're looking for!

valkas [14]3 years ago

6 0

You have to add them together
114+125=239
Tom reads for 239 hours

Hopes this helps you

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Find all solutions in the interval from [0,2pi) 2cos(3x)= -sqrt{2}

algol [13]

Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

Step-by-step explanation:

Find all solutions in the interval from [0,2pi)

$2cos(3x)= -\sqrt{2}$

⇒ $2cos(3x)= -\sqrt{2}$

⇒ $\frac{2cos(3x)}{2}= \frac{-\sqrt{2}}{2}$

⇒ $cos3x= \frac{-\sqrt{2}(\sqrt{2})}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-2}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-1}{{\sqrt{2}}}$

⇒ $cos^{-1}(cos3x)= cos^{-1}(\frac{-1}{{\sqrt{2}}})$

⇒ $3x=\pm \frac{\pi}{4}$

⇒ $x=\pm \frac{\pi}{12}$

Cosine General solution is :

$x = \pm cos^{-1}(y)+ 2k\pi$

⇒ $x = \pm \frac{\pi}{12}+ 2k\pi$ , k is any integer .

At k=0,

⇒ $x =\frac{\pi}{12}$ ,

At k=1,

⇒ $x = - \frac{\pi}{12}+ 2\pi$

⇒ $x = \frac{23\pi}{12}$

Therefore , Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

5 0

3 years ago

Solve for the indicated variable. Include all of your work in your answer. Submit your solution.

levacccp [35]

Answer:

The answer is $L=\frac{A}{W}$

Step-by-step explanation:

In order to determine the answer, we have to know about equation. In an equation, we have variables, some of them depend on the others. If we want to know the value of one variable ( the dependent variable), we have to free it in any side of the equation.

In this case, we want to know the value of "L" variable. So we free that variable to the right side of the equation.

$A=LW$