The first step when dividing 9m2 − 4m − 6 by 3m is shown. Which could be the next step? 3m − − 3m − − 3m − − 3m − −

Mathematics

1 answer:

Agata [3.3K]3 years ago

8 0

Given:

Consider the below picture attached with this question.

The given expression is:

$\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}$

To find:

The next step.

Solution:

We have,

$\dfrac{9m^2}{3m}-\dfrac{4m}{3m}-\dfrac{6}{3m}$

Cancel out the common factors.

$=3m-\dfrac{4}{3}-\dfrac{2}{m}$

Therefore, the correct option is D.

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What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$