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3 years ago

If you wanted to find the difference of 6/25 - 4/5 what common denominator schould you choose? Why

2 answers:

6 0

6/25 - 4/5.......u should choose the lowest common denominator which is 25.
6/25 - 20/25 = - 14/25

however, even if u didn't pick the lowest....lets say u picked 50
6/25 - 4/5 = 12/50 - 40/50 = - 28/50 reduces to - 14/25...u will still get the same answer...u will just have to reduce

the reason u want to pick the lowest common denominator is because it is easier....if u dont pick the lowest, u will have to reduce....so picking the lowest just saves you time.

goldfiish [28.3K]3 years ago

5 0

6/25 - 4/5.......u should choose the lowest common denominator which is 25.
6/25 - 20/25 = - 14/25

however, even if u didn't pick the lowest....lets say u picked 50
6/25 - 4/5 = 12/50 - 40/50 = - 28/50 reduces to - 14/25...u will still get the same answer...u will just have to reduce

the reason u want to pick the lowest common denominator is because it is easier....if u do not pick the lowest, u will have to reduce....so picking the lowest just saves you time. also u can round up or down if u wanna be more smart

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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

Which equation is true if x = 9? A:3/8 x = 3 3/8 B: 8.7 + x = 17 X: 5x = 40 x:11.5 = 20

Furkat [3]

Answer:

the answer might be A meaning Sis TV correct one

6 0

3 years ago

The price of a video game was reduced from $60

Zigmanuir [339]

You take the orignal price of the video game and subtract the new price to see how much it was reduced. 60-45 = 15. then you take the reduced amount of the game (15) and divide by the original price (60).
you get 25%
your answer is B

7 0

3 years ago

Read 2 more answers

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t

borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

$tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft$

Second triangle:

$tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft$

Now, the total height of the statue will be:

$TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft$

Have a nice day!

8 0

3 years ago

Select each pair of equivalent numbers. PLS HELP DUE TMR AND I DONT HOW TO SOLVE IT, PLS SHOW HOW U SET IT UP

BaLLatris [955]

The pairs that are equivalent to each other are 40/1000 and 40%, 6/5 and 120%, 1/8 and 12.5% . They are the correct answers because if we divide for example 6/5 , we would get 1.2 and to turn a decimal into a percent we have to move the decimal point 2 times to the right meaning that the percentage would be 120% and you just do that for all! I hope this helped :)!!

3 0

3 years ago