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o-na [289]
3 years ago
15

The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs

4100 pounds on Planet​ A, find the​ elephant's weight on Planet B.
Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0
Elephant weight on planet B is = 123 because 4100 ÷ 100 = 41 × 3 is 123.
guapka [62]3 years ago
4 0
Planet A : Planet B
   100      :      3
  (x 41)          (x 41)
4100       :     123


Answer: The elephant that will weigh \boxed {\boxed {\text {123 pounds}}} in Planet B.

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Find the exact value by using a half-angle identity. sin(5pi/12)
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Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
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Explanation:

Call tan ((5pi/12) = t. 
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<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>

<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>

Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>

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