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MariettaO [177]
3 years ago
5

I need help with this one

alt=" \frac{1}{3} " align="absmiddle" class="latex-formula"> ÷ 2= ?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
To solve this questions, we can turn 2 into a fractions.

2 as a fraction is 2/1 (because 2 divide by 1 is still 2)
We can now use this to get our answer. 

1/3  ÷ 2/1 
=  1/3 × 1/2    (flip the fraction and then multiply)
= 1/6          (1 x 1 / 3 x 6)

Or 0.16666.. as a decimal
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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 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 equationcosxtanx - 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
Solve the equation. Show your work. 45 = 3b + 69
Cerrena [4.2K]
There should be no problem in finding the value of the unknown variable "b" in the equation given in the question.The equation is solvable for finding the value of "b" because it is the only unknown variable in the single equation that is given in the question.
45 = 3b + 69
Let us reverse both sides of the equation first. then, we get
3b + 69 = 45
3b = 45 - 69
3b = - 24
b = - (24/3)
   = - 8
So from the above deduction, we can easily conclude that the value of b in the given equation is -8.
8 0
3 years ago
Read 2 more answers
it costs $2 to spin the spinner shown below. if you land on an even number, you win $10. if you land on an odd number, you get $
Svetlanka [38]

Answer:

$1

Step-by-step explanation:

because there is more odd numbers then even

4 0
2 years ago
Read 2 more answers
15=5x+45<br><br> What is the value of x?
nordsb [41]

15 = 5x + 45

15 - 45 = 5x

-30 = 5x

-30/5 = x

-6 = x

7 0
2 years ago
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I'm not sure what they mean by "relations that represents a function". I don't understand this.
sergeinik [125]
Means, for every 1 input, there is 1 coresponding output
normally x is input and y is output in form (x,y)
so just look for the option(s) that has/have every first number repeat with only 1 2nd number

A. -7 repeats with 5 and -3, not a function

B. no repeats of first number (6,-8) and (-5,-8) are fine because first numbers don't repeat, das is funciton

C. no repeats, function

D. no repeats, function


answer is B,C,D


4 0
3 years ago
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