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3 years ago

5

5= 1 and 1/2 (X - 6 )

1 answer:

Juliette [100K]3 years ago

4 0

Answer:

is the question right i dnt think so thats the right question

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Simplify:<br> 2/3 divided by 3 3/4

Nat2105 [25]

Answer:

$\frac{8}{45}$

Step-by-step explanation:

convert mixed number to improper fractions

3 $\frac{3}{4}$ = $\frac{15}{4}$

$\frac{\frac{2}{3} }{\frac{15}{4} }$

apply the fraction rule:

$\frac{2 * 4}{3 * 15}$

multiply the numbers

$\frac{8}{45}$

3 0

1 year ago

It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the functio

katrin2010 [14]

Answer:

$y=\frac{24}{x}$

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.

We know that two inversely proportional quantities are in form $y=\frac{k}{x}$ , where y is inversely proportional to x and k is constant of variation.

Upon substituting $y=12$ and $x=2$ in above equation, we will get:

$12=\frac{k}{2}$

Let us solve for constant of variation.

$12\cdot 2=\frac{k}{2}\cdot 2$

$24=k$

Now, we will substitute $k=12$ in inversely proportion equation as:

$y=\frac{24}{x}$

Therefore, the formula for the given scenario would be $y=\frac{24}{x}$ .

3 0

3 years ago

4=(1/2)^× solve for x

cricket20 [7]

$4=\left(\frac{1}{2}\right)^x\\
2^2=2^{-x}\\
x=-2
$

4 0

4 years ago

2. Find the general relation of the equation cos3A+cos5A=0

mars1129 [50]

<h2>Answer:</h2>

$A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi$

<h2>Step-by-step explanation:</h2>

<h3>Find angles</h3>

$cos3A+cos5A=0$

________________________________________________________

<h3>Transform the expression using the sum-to-product formula</h3>

$2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0$

________________________________________________________

<h3>Combine like terms</h3>

$2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0$

________________________________________________________

<h3>Divide both sides of the equation by the coefficient of variable</h3>

$cos(\frac{8A}{2})cos(\frac{-2A}{2})=0$

________________________________________________________

<h3>Apply zero product property that at least one factor is zero</h3>

$cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0$

________________________________________________________

<h2>Cos (8A/2) = 0:</h2>

<h3>Cross out the common factor</h3>

$cos\ 4A=0$

________________________________________________________

<h3>Solve the trigonometric equation to find a particular solution</h3>

$4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}$

________________________________________________________

<h3>Solve the trigonometric equation to find a general solution</h3>

$4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}$

________________________________________________________

<h2>cos(-2A/2) = 0</h2>

<h3>Reduce the fraction</h3>

$cos(-A)=0$

________________________________________________________

<h3>Simplify the expression using the symmetry of trigonometric function</h3>

$cosA=0$

________________________________________________________

<h3>Solve the trigonometric equation to find a particular solution</h3>

$A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}$

________________________________________________________

<h3>Solve the trigonometric equation to find a general solution</h3>

$A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z$

________________________________________________________

<h3>Find the union of solution sets</h3>

$A=\frac{\pi}{2}+n\pi$

________________________________________________________

<h2>A = π/8 + nπ/4 or A = π/2 + nπ, n ∈ Z</h2>

<h3>Find the union of solution sets</h3>

$A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z$

<em>I hope this helps you</em>

<em>:)</em>

5 0

3 years ago

Solve in degrees. 0 < θ < 360<br> 1. tan θ = 3.5134

Temka [501]

Answer:

Therefore,

$\theta=74.11\°\ or\ \theta=254.11\°$

Step-by-step explanation:

Given:

0° < θ < 360°

tan θ = 3.5134

To Find:

θ in degrees = ?

Solution:

0° < θ < 360° .............Given

Means ' θ ' is between 0° and 360°

$\tan \theta=3.5134$ .............Given

Therefore,

$\theta=\tan^{-1} (3.5134)$

Also,

$\tan (180+\theta)=\tan \theta$

So ' θ ' will have Two values for tan θ =3.5134

$\therefore \theta=74.11\°\ or\ \theta=180+74.11=254.11\°$

Therefore,

$\theta=74.11\°\ or\ \theta=254.11\°$

5 0

3 years ago