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Allushta [10]
2 years ago
13

The ratio of males to females at

Mathematics
1 answer:
BaLLatris [955]2 years ago
8 0

Answer:

<h3><u>48 people</u> is the right answer.</h3>

Step-by-step explanation:

Let the number of male and female be 3x and 5x

There are twelve more females than males

According to the above problem,

5x - 3x=12\\ 2x = 12\\ x = \frac{12}{2}  \\  \boxed{x = 6}

Therefore, the numbers of male is

3x = 3 \times 6 = 18

and number of female is

5x = 5 \times 6 = 30

Hence, total number of people are

(30 + 18) = 48

There are <u>48 people</u> in the party.

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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)
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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>
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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>
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<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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3 years ago
Someone pls do these 3 for me, its due in 20 minutes and my head hurts so bad right now :(
Drupady [299]

Answer:

1. Chloe has more money.

2. Dylan does <u>not</u> have enough money to buy 3 bags of candy.

3. Mikayla could get 4 pennies, 2 nickels, 2 dimes, and 2 quarters back in change.

Step-by-step explanation:

Penny = 1 cent

Nickel = 5 cents

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3. $5 - 4.16 = 84 cents in return

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Answer:

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