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Paha777 [63]
3 years ago
10

Define the word evaluate. in complete sentences

Mathematics
1 answer:
il63 [147K]3 years ago
8 0

Answer:

A woman evaluates a gemstone to determine it's value. Licensed from iStockPhoto. verb. To evaluate is defined as to judge the value or worth of someone or something.

I hope It's right. Sorry if it isn't.

Have a wonderful day/night :)

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Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
AVprozaik [17]

Answer:

D

Step-by-step explanation:

We are given that:

\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}

Using double angle identities:

\displaystyle  \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2>\displaystyle  \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}</h2>

Simplify:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}

Evaluate:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}

So, our answer is D.

7 0
3 years ago
Megan is making bracelets to sell to earn money for the local animal shelter it takes her 1/4 hour to pick out all the beads and
Lana71 [14]
She has 75mins to make braclets and it takes her 6mins to make one so 75 divided by 5 is your answer and if the answer is not a whole number round down
5 0
2 years ago
Use the numbers 6 2 9 5 2 3<br> to make 36.
VashaNatasha [74]

Answer:

6+2+9+5+2+3+6+3 = 36

Step-by-step explanation:

If you like my answer than please mark me brainliest

5 0
2 years ago
Can someone please help me with this question?
Aleks04 [339]

Answer:

Can someone please help me with this question?

Step-by-step explanation:

6 0
2 years ago
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Suppose 850 tickets were sold for a game for a total of $1100. If adult tickets cost $1.50 and children tickets cost $1.00, how
Nesterboy [21]
500 adult tickets and 350 children tickets.

Check :
500A($1.5)=$750
350C($1)=$350

$750 + $350 = $1100         AND         500 + 350 = 850 tickets
8 0
3 years ago
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