Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
Answer:
150 ft
Step-by-step explanation:
Answer:You have 30 days from the date of purchase to title and pay sales tax on your newly purchased vehicle. If you do not title the vehicle within 30 days, there is a title penalty of $25 on the 31st day after purchase. The penalty increases another $25 for every 30 days you are late with a maximum penalty of $200.
When you purchase your vehicle, you may obtain a temporary permit, transfer license plates from a vehicle you already own, or you may purchase new license plates. Our online sales tax calculator may help you estimate the taxes and fees you will pay.
Step-by-step explanation:
The answer to this question is actually just simple arithmetic. At the end of the first round, Katie and Jenny will have 100 points each. In the second round, Katie and Jenny will have 200 points and 300 points respectively. At the third round, Katie and Jenny will both have 400 points. At the fourth round, Katie and Jenny will have 800 and 600 points respectively. So the turn at which Katie will have more points than Jenny is the fourth round since Katie has 800 and Jenny has 600.
Answer:
14/26
Step-by-step explanation:
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