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Likurg_2 [28]
3 years ago
12

Find sinx given cos2x=5/9

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

sinx = √2/3

Step-by-step explanation:

cos2x = 1-2sin²x

5/9 = 1-2sin²x

2sin²x =1-5/9

2sin²x = 4/9

sin²x = (4/9)/2

sin²x = (4/9)*(1/2)

sin²x = 2/9

sinx = √2/3

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What are the roots of the quadratic equation x2+2x=-5
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Answer:

x = -1 +/-2i

Step-by-step explanation:

Write the equation in standard form to find the roots, also known as the solutions, zeros, or x-intercepts, of the quadratic.

x² + 2x + 5 = 0

Use the quadratic formula by substituting a= 1, b = 2 and c = 5.

x = \frac{-2 +/- \sqrt{(-2)^2 - 4(1)(5)} }{2(1)} = \frac{-2 +/-\sqrt{4 -20 } }{2} = \frac{-2 +/-\sqrt{-16 } }{2} = \frac{-2 +/-4i }{2} = -1 +/-2i

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4 years ago
Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the co
LenaWriter [7]

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

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Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

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4 = t

4 tickets meaning 4 people went.

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3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%5Csec%281%20-%20%20%5Csin%28x%29%20%29%20%7D%20dx" id="TexFormula1" ti
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