Answer: 3
Explanation: logarithm base 8 of 512 is 3
The approximate length of side AB is 14.0. The correct option is B. 14.0 units
<h3>Law of sines </h3>
From the question, we are to determine the measure of side AB
First, we will determine the measure of angle A
A + B + C = 180° (<em>Sum of angles in a triangle</em>)
A + 65° + 35° = 180°
A = 180° - 65° - 35°
A = 80°
Now, using the law of sines
c/sinC = a/sinA
c = AB
a = BC = 24
Thus,
c/sin35° = 24/sin80°
c = (24×sin35°)/sin80°
c = 13.978
c ≈ 14.0
∴ AB = 14.0
Hence, the approximate length of side AB is 14.0. The correct option is B. 14.0 units
Learn more on Law of sines here: brainly.com/question/24138896
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Answer: a = 2,315.5
Step-by-step explanation:
a = 2πrh+2πr²
a = 2π(9)(32) + 2π9²
a = 2π x 288 + 2π x 81
a = 1809.6 + 508.9
a = 2,315.5
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