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netineya [11]
4 years ago
14

Tina uses a $50 gift card certificate To buy a pair of PJs for $17.97 a necklace for $25.49 and three pairs of socks that each c

ost the same amount Tina has to pay $0.30 because the gift card certificate does not cover the total cost of all the items how much does each pair of socks cost?

Mathematics
1 answer:
N76 [4]4 years ago
4 0

You said she had to pay $0.30, but in the picture it looks like it says she pays $0.33, so I used the 0.33 amount.


The gift card was $50, she had to pay 0.33 cents, so total paid was $50.33

The total for the pajamas and necklace was: 17.97 + 25.49 = 43.46


Subtract that from the total spent to find the total cost of the socks:

50.33 - 43.46 = 6.87 ( total cost for 3 pairs of socks)


Now divide that by 3 to find the cost of 1 pair:

6.87 / 3 = $2.29 per pair



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<u><em>Applying the law of sines in the right triangle BDC</em></u>

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Equate equation A and equation B and solve for x

(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m

<u><em>Find the value of BC</em></u>

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therefore

The height of the tree is 18.12 m

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