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3 years ago

You own a rare video game that

Mathematics

1 answer:

boyakko [2]3 years ago

3 0

Answer:

$13.3

Step-by-step explanation:

90% of 7 is 6.3

assuming markup means add...

7 + 6.3 + $13.3

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Find the integer between square root of 30 and 4pie/ 3

Irina-Kira [14]

$\bf \boxed{\stackrel{\frac{4\pi }{3}\approx}{4.18879}}\rule[0.35em]{10em}{0.25pt}5\rule[0.35em]{7em}{0.25pt}\boxed{\stackrel{\sqrt{30}\approx}{5.4772}}$

3 0

3 years ago

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

(50 PTS Trick Question)

s344n2d4d5 [400]

(xy(2zx18+2zx yz^2))^3=
(xy(36z+2yz^3))^3=
(36xyz+2z^3y^2x)^3=
(36xyz)^3+3(36xyz)^2(2z^3y^2x)+3(36xyz)(2z^3y^2x)^2+ (2z^3y^2x)^3
=46656x^3y^3z^3+3888(2z^5y^4x^3)+108 (4z^73y^5x^3)+8z^9y^6x^3

6 0

3 years ago

Read 2 more answers

Peony mixes red paint and white paint in the ratio 1:3 She uses four tins of red paint Work out the total number of tins of pain

blsea [12.9K]

Answer:

Step-by-step explanation:

4x3=12 tins of white paint

12+4=16 total tins

5 0

3 years ago

Your school is sponsoring a pancake dinner to raise money for a field trip. You estimate that 150 adults and 280 children will a

soldi70 [24.7K]

Answer:

150x + 280y = 1310

Step-by-step explanation:

5 0

3 years ago