1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
find the height difference between the top of mt Everest 8848 metres and the Mariana Trench 10911 metresbelow sea level
zhuklara [117]
Mount\ Everest\to+8,848m\\\\Mariana\ Trench\to-10,911m\\\\Difference:|-10,911-8,848m|=|-19,759|\\\\\center={\boxed{19,759\ (m)}}\leftarrow answer
6 0
3 years ago
Carlita saw 5 times as many robins as cardinals while bird watching. She saw a total of 25 birds. How many more robins did she t
andrew-mc [135]
Carlita was either sipping the hot chocolate while she was out, or else
approximating the numbers.  The exact number she reported is not
possible.  To see why, I'll do it strictly by the math:

Robins  =  5 times
Cardinals  =  1 time

Total birds  =  6 times 

6 times  =  25 birds

Divide each side by 6 :   1 time  =  25/6  =  4-1/6 birds

Robins =  5 times  =  20-5/6 of them
Cardinals  =  1 time  =  4-1/6 of them

Total:  (20-5/6) + (4-1/6)  =  25 birds.

How many more robins than cardinals  = (20-5/6) - (4-1/6) = 16-2/3 more. 

The math works out fine.  But if the numbers she reported are true,
then some of what she saw was partial birds ... legs, or feathers,
things like that.  Eeeew.   I don't want to talk about it.
7 0
3 years ago
Read 2 more answers
Please help!!
Mumz [18]

Answer:

Α. 0

Step-by-step explanation:

Given A = -8 and B = 10

The distance between A and B

= B - A

= 10 - (-8)

= 10 + 8

= 18 units

4/9 of the way between A and B

= 4/9 of the distance between A and B

= 4/9 x 18 units

= 8 units.

Hence the location of the point that is 4/9 of the way from A to B

= value at point A + 8 units

= -8 + 8

= 0 (answer)

5 0
2 years ago
PLS ANSWER NOW WILL EARN BRAINLIEST IF RIGHT
kolbaska11 [484]

Answer:

I Know the answer because I am in k12 too.

The answer is 37.5%

Step-by-step explanation:

$80 - $50 = $30

$30 * 100 / $ 80 = 37.5%

answer: 37.5% of decrease.

5 0
3 years ago
Read 2 more answers
9.6 *10 ^-4 in standard notation
8_murik_8 [283]
9.6 x 10^-4 = 0.00096
5 0
3 years ago
Other questions:
  • A 16 oz package of brown rice costs 79 cents and 32 oz package of white rice costs $3.99. Which package is a better deal
    8·1 answer
  • What’s the difference between an ark and a radius on a circle?
    9·1 answer
  • What special number is given with several decimal places?
    6·1 answer
  • What type of star has an absolute brightness of 5 and a surface temperature around 3,000 °C?
    14·2 answers
  • Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4
    8·2 answers
  • 3k - 14 = 3(k – 5) +1 one solution, no solution, or infinite solution ​
    15·1 answer
  • What is the y-intercept of this table? yall pls i need correct answers
    5·1 answer
  • Jim has 44 nickels and dimes. The total amount of money is $2.95. How many nickels does he have?​
    15·1 answer
  • Which relation is a function of x?
    14·2 answers
  • Lcm of 120,5200 and 40​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!