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Alexus [3.1K]
3 years ago
12

Help me out hereeeeeeeeeeeeeeeeeeee

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

9514 1404 393

Answer:

  (d)  (8, 40)

Step-by-step explanation:

A pentagon has 5 sides. 8 of them will have 8×5 = 40 sides. The ordered pair representing (pentagons, sides) will be ...

  (8, 40) . . . . . matches the last choice

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Find the exact value by using a half-angle identity. sin(5pi/12)
anzhelika [568]

Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>

Explanation:

Call tan ((5pi/12) = t. 
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>

<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>

5 0
3 years ago
Under her cell phone plan, Ellie pays a flat cost of $50 per month and $5 per
erastovalidia [21]

Answer:

She can use 4GB of data

You keep on adding five dollars on top of 50 until you reach 70.

6 0
3 years ago
$1, 000 after 2 years at an interest rate of 3.0% is $ round up to the nearest cent
BaLLatris [955]
This may be a simple interest computation.

Simple Interest = Principal * interest rate * term

Principal = 1,000
interest rate = 3%
term = 2 years

Simple Interest = 1,000 * 0.03 * 2
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5 0
3 years ago
The school cafeteria is holding an election for students to vote on which items they would like to see on the lunch menu. The ch
d1i1m1o1n [39]
There are two choices to choose from:

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b) Veggie Pizza

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Since more students voted for the Grilled chicken, it will be on the lunch menu. 
3 0
3 years ago
Plz Help me Brainliest to whoever answers first
Anna11 [10]
16 I believe please mark BRAINLIEST
5 0
3 years ago
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