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3 years ago

What is the greatest common factor shared by 33 and 60

Mathematics

1 answer:

enot [183]3 years ago

4 0

Answer: Greatest Common Factor is 3

Step-by-step explanation:

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The ratio of the angles in a triangle is 2:3:5. Find the measure of each angle. Measurements are all in degrees.

Julli [10]

Angles in a triangle add up to be 180 degrees. 2x+3x+5x= 180
10x=180
x=18
2(18) = 36
3(18) = 54
5(18)= 90

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3 years ago

Solving by elimination 4x-y=-4 5x=2y+1

Semenov [28]

Answer:

x=-3, y=-8

Step-by-step explanation:

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3 years ago

Find the median and first quartile, Q1,

My name is Ann [436]

Answer:

Median = 13&14

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Step-by-step explanation:

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2 years ago

2/3+2/3 I need help PLZZZZ

goldfiish [28.3K]

Answer:

4/3

Step-by-step explanation:

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3 years ago

Read 2 more answers

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

IceJOKER [234]

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

Step-by-step explanation:

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