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3 years ago

bridget is allowed to play on-line games for 75\100 of an hour each day. Write this fraction as a decimal

Mathematics

1 answer:

Karolina [17]3 years ago

6 0

75/100 = 0.75 in decimal form

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

3 0

3 years ago

Can you help me please

xenn [34]

Answer:

x=180

Step-by-step explanation:

6/30 = x/900

5 0

3 years ago

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Describe the correlations from left to right ? Plz explain I can’t get this wrong & I really need help !

UkoKoshka [18]

Answer:

Positive, negative and no correlation

Step-by-step explanation:

because its going up its positive because it goes down its negative for the last one it’s random so no correlation

5 0

3 years ago

Classify each polynomial based on the number of terms it contains.

BaLLatris [955]

I’ll keep it simple for you so you can actually learn. “Bi” means two, everything that has two terms is a binomial. And the “tri” means three, so three terms. And well the one left monomial is one term.
Meaning 10xyz is one term, which means it’s a Monomial.
8x^2 + 0.25 two terms so binomial

3 0

3 years ago

Find f(-2) of f(x) = 3x+x^2

Afina-wow [57]

f(x) is a function of x. To find f(-2), plug in the value of x=-2.

$f(-2)=3(-2)+(-2)^2=-6+4=-2$

The answer is -2.

3 0

3 years ago

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