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3 years ago

6

6. Find the missing value. Show your work. Round to the nearest hundredth.

1 answer:

Flura [38]3 years ago

6 0

Hello,
Please, see the attached file.
Thanks.

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3 years ago

Read 2 more answers

Evaluate 2/ 3 ÷ 4 /5 Give your answer as a fraction in its simplest form.

gulaghasi [49]

Step-by-step explanation:

<u>Our problem:</u>

$\frac{2}{3} \div \frac{4}{5} = unknown$

How to solve?

Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.

<u>Find the reciprocal:</u>

$\frac{2}{3} \times \frac{5}{4} = unknown$

<u>Multiply:</u>

$\frac{2}{3} \times \frac{5}{4} = \frac{10}{12}$

<u>Simplify:</u>

$\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$

5/6 is your answer.

7 0

2 years ago

Pls help me asap :(

Andreas93 [3]

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3 years ago

Find out the answers to this

meriva

Answer:

$\tan \theta = - \frac{1}{5} = - 0.2$

$\cos \theta = 0.98$

$\sin \theta = - 0.196$

Step-by-step explanation:

It is given that $\cot \theta = - 5$ and $\theta$ is in the fourth quadrant.

So, only $\cos \theta$ will have positive value and $\sin \theta$ , $\tan \theta$ will have negative value.

Now, $\cot \theta = - 5$

⇒ $\tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5}$ (Answer)

We know, that $\sec^{2} \theta - \tan^{2} \theta = 1$

⇒ $\sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019$

{Since, $\cos \theta$ is positive then $\sec \theta$ will also be positive}

⇒ $\cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98$ (Answer)

We know, that $\csc^{2} \theta - \cot^{2} \theta = 1$

⇒ $\csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099$

{Since, $\sin \theta$ is negative then $\csc \theta$ will also be negative}

⇒ $\sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196$ (Answer)

4 0

3 years ago