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Semmy [17]
2 years ago
10

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:

A

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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5x + 2 = 7 <br> X = ?<br> Can you please help me with this
daser333 [38]

Answer:

x=1

Step-by-step explanation:

Move the constant to the right side of the equation and change its sign to the opposite. the constant in this equation is +2. the new equation looks like this: 5x=7-2. After subtracting on the right (7-2) the new equation should be 5x=5. divide both sides of the equation by 5. the answer is x=1

8 0
2 years ago
A sum of $4000 is invested at 5.5% interest per year. Find the amount of time needed to double the money if it’s compounded mont
musickatia [10]

9514 1404 393

Answer:

  C)  12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

  A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

  A/P = (1 +r/12)^(12t)

  log(A/P) = (12t)·log(1 +r/12)

  t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

  t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.

8 0
3 years ago
-6 (-2/3)<br> How is it solved
Mars2501 [29]
You multiply -6 and -2/3. Which is 4
5 0
2 years ago
Read 2 more answers
If a rectangles width is twice as long as its length. If the perimeter is 36in find its length.
Dmitriy789 [7]
Answer of what is the length is 12. if we add all the sides it has to come as 36,so if length=x then width=2x therefore X+X+2X+2X=36 therefore x=6 then width=2x =12.
4 0
3 years ago
David bought a pizza for $12.74 and four medium drinks. Define a variable and write an expression to represent the total amount
SSSSS [86.1K]
You could say each drink is d. And we'll say the total is t. David got 4 drinks,

So... 12.74 + 4d = t

Hope this helps!
7 0
3 years ago
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