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KATRIN_1 [288]
3 years ago
7

Find cos theta if sin theta = 2/3. assume the terminal side of the angel falls in quadrant 2

Mathematics
1 answer:
kow [346]3 years ago
3 0
Well knowing that the terminal arm of the standard position angle is in quadrant 2, we can determine the reference angle, in quadrant 2, by simply taking the difference between 180 and whatever the angle is.

So ø reference = 180 - ø in standard position.

Regardless, the reference angle is in quadrant 2, we need to then label the sides of the reference triangle based on the opposite and hypotenuse.

Solve for adjacent side using Pythagoras theorem.

A^2 = C^2 - B^2
A^2 = 3^2 - 2^2
A^2 = 9 - 4
A^2 =5
A = sq root of 5.

Then write the cos ratio using the new side.

Cos ø =✔️5/3. Place a negative in front of cos ø as cos is negative in second quadrant.
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In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store.
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Answer:

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The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

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$3.82 =

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The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

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Lets the original price of the Stereo player was $100

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We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

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Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

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$3.82 =

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= 382 cents

8 0
3 years ago
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3 years ago
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Answer:

Step-by-step explanation:

Well, the ratio of yellow beads to blue beads is 4:5. The best way I think is to guess and check multiplying the ratio by integers. You need between 15 and 20.

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12 : 15 ( = 27 too much)

So per necklace, 8 yellow beads and 10 blue beads would be needed. 

I hope this helps :-)

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3 years ago
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