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2 years ago

To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.

Mathematics

2 answers:

statuscvo [17]2 years ago

6 0

Answer:

A. cosx(10sinx-3)=0

Step-by-step explanation:

5(2sinxcosx)=3cosx

10sinxcosx-3cosx=0

cosx(10sinx-3)=0

galina1969 [7]2 years ago

5 0

Answer:

Step-by-step explanation:

We want to solve the equation:

$5\sin(2x)=3\cos(x)$

To do so, we can rewrite the equation.

Recall the double-angle for sine:

$\sin(2x)=2\sin(x)\cos(x)$

By substitution:

$5\left(2\sin(x)\cos(x)\right)=3\cos(x)$

Distribute:

$10\sin(x)\cos(x)=3\cos(x)$

We can subtract 3cos(x) from both sides:

$10\sin(x)\cos(x)-3\cos(x)=0$

And factor:

$\cos(x)\left(10\sin(x)-3\right)=0$

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

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7 months ago

BELL RINGER #2

NemiM [27]

Answer:

A. 2 4/5

Step-by-step explanation:

To find how many hours she worked for $210, you must get the amount of money she gets in 1 hour.

Because she charges $43 dollars every hour, and fines a fee of $30 flat, we must add both of the amount to get how many she earns in 1 hour.

So:

$45 + $30= $75

She earn $75 in 1 hour.

Next, divide $210 dollars that she earned for working for hour(s) to the amount of money she earned in 1 hour to find how many hours she worked.

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$210 ÷ $75= 2.8 hours

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To change a decimal into a fraction, you must place the decimal over its place value.

Because 8 in the decimal 2.8 is in the tenths place, you must place it over 10

So:

2.8 into a decimal is 2 8/10

Simplify (only simplify if possible):

Divide 8 and 10 to their GCF which is 2.

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So the fraction and the answer is now:

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I hope this helps! I'm sorry if it's wrong and too complicated.

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2 years ago

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Tpy6a [65]

Answer:

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2 years ago

To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​

To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.