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mestny [16]
3 years ago
6

Find the solutions. Show steps please!

Mathematics
1 answer:
san4es73 [151]3 years ago
6 0

Answer:

x = 0, π/4, π, 7π/4

Step-by-step explanation:

sin(2x) = √2 sin x

Use double angle formula.

2 sin x cos x = √2 sin x

Move everything to one side.

2 sin x cos x − √2 sin x = 0

Factor.

sin x (2 cos x − √2) = 0

Solve.

sin x = 0, cos x = ½√2

x = 0, π/4, π, 7π/4

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Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
tia_tia [17]

Answer:

x = 8

Step-by-step explanation:

well using the theorem we have

\frac{6}{9}=\frac{x}{12}\\\\\frac{2}{3}=\frac{x}{12}\\\\12[\frac{2}{3}]=12[\frac{x}{12}]\\\\4\cdot 2=x\\\\x=8

7 0
3 years ago
The figure below shows two half-circles at the ends of a rectangle with the dimension shown.
timurjin [86]

Answer:

D. 154

Step-by-step explanation:

The area of the rectangle is 15*5= 75 inches

The area of the 2 semicircles combined, which make a circle, are:

π*r², where r is 5

r²=25

π*25=78.53981633

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2 years ago
Which system of inequalities is graphed below?
lorasvet [3.4K]

Answer: It’s A y > x^2-4

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Step-by-step explanation:

7 0
3 years ago
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Mrrafil [7]
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3 0
3 years ago
The graph of the function f(x) = (x − 3)(x + 1) is shown.
AVprozaik [17]

The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1

<h3>Which describes all of the values for which the graph is positive and decreasing?</h3>

The equation of the function is given as:

f(x) = (x - 3)(x + 1)

When the value of the graph is positive, we have:

f(x) > 0

So, the function becomes

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Split the above inequality

x - 3 > 0 and x + 1 > 0

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Read more about intervals at:

brainly.com/question/1503051

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3 0
1 year ago
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