5) 200 students at a local college campus
2 answers:
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<h2>Hello!</h2>
The answer is: A. 8.75 + 0.50 x ≤ 15.00
<h2>Why?</h2>By isolating the variable (x), we have:
So, with the result of x ≤ 12.5 , we can know that the most amount of additional toppings Kia got, is 12 toppings.
The inequality is telling us that Kia will spend 15$ or less if she orders 12 toppings or less.
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Answer:
- ∠PAO = 90°
- ∠APO = 30°
- ∠AOB = 120°
- PB ≈ 8.7
Step-by-step explanation:
A tangent makes a right angle with the radius to the point of tangency. Hence ∠PAO is 90°. The ratio of the short side (OA) of the right triangle OAP to the hypotenuse (OP) is 5 : 10 = 1 : 2. These are the ratios found in a 30°-60°-90° triangle, so we know that ∠APO = 30°.
OP is a bisector of angle APB, so that angle is 60°. Angle AOB is the supplement to angle APB, so ∠AOB = 120°.
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As we said above, triangle OAP is a 30°-60°-90° triangle, so its side lengths have the ratios 1 : √3 : 2. This means PA = PB = 5√3 ≈ 8.7.
