Find x and y. write your answer in simplified radical form.

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = =

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = = = 12

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cos30° = =

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × = 6

2nd Option is correct.

Step-by-step explanation:

Given:

Renata has $20 in gift card.

She bought 16 songs.

After purchase Balance in gift card = $0

⇒ Cost of 16 songs = $20

⇒ Cost of 1 song = 20/16 = $ 1.25

let x represent number of songs purchased and y represent balance on her gift card.

So, Cost of x songs = 1.25 × x = 1.25x

And Balance = 20 - 1.25 x

Thus, Required equation representing relationship between balance on gift card and number of song purchased.

y = 20 - 1.25x

1.25x + y = 20

If we multiply both sides of equation with 4, we get

5x + 4y = 80

Therefore, 2nd Option is correct.