Answer:
- A. 49.
Step-by-step explanation:
<u>Given equation:</u>
- -11 2/3 * (-4 1/5)
<u>Simplify, then solve:</u>
- -11 2/3 * (-4 1/5)
- = -35/3 * (-21/5)
- =
- = 735/15
- = 49.
Your answer is A. 49.
29847839298273827736+83839302839288383
1 answer:
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<h2>B. 41</h2>
Step-by-step explanation:
9514 1404 393
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.
