What is the length of the side labeled x cm?
1 answer:
When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees
The Law of Sines states that
side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)
14 * Sine (41) / Sine (77) = side x
side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
</span>
<span> <span> <span> side x = 9.4264396482 </span> </span> </span>
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees
The Law of Sines states that
side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)
14 * Sine (41) / Sine (77) = side x
side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
</span>
<span> <span> <span> side x = 9.4264396482 </span> </span> </span>
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Answer:
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.
Step-by-step explanation:
Given that:
Part A:
Original price of video game = $32.99
Discounted price = $26.39
Amount of discount = 32.99 - 26.39 = $6.60
Discount percent =
Discount percent =
Discount percent = 20%
Part B:
Sales tax = 8% of discounted price
Amount of sales tax =
Amount of sales tax = $2.11
Total amount = $26.39 + $ 2.11 = $28.50
Hence,
Part A: The percent discount on game is 20%.
Part B: Mario paid a total of $28.50 including sales tax.