Can 27:6 be simplified

2 answers:

7 0

Yes it can. All you have to do is a find a factor of both the numbers 27 &6 both have a factor of three so all you do is divide both the numbers by the factor (which in our case is 3) and then put the answers in replace of each number . Like so 9:2 Hope this helps

Vika [28.1K]3 years ago

4 0

Divide each number by three. The new answer is 9:2

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How can I use the figure to find the exact value of sin 2theta?

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Answer:

sin(2θ) = 24/25

Explanation:

In order to find the value of sin 2θ, first, recall the double-angle formula for sine.

$\sin 2\theta=2\sin \theta\cos \theta$

From the right-triangle:

$\begin{gathered} \sin \theta=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{3}{5} \\ \cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}}=\frac{4}{5} \end{gathered}$

Substitute these values into the double-angle formula obtained earlier.