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3 years ago

2cosx(2x+30°) + √3=0

Mathematics

2 answers:

just olya [345]3 years ago

8 0

Answer:

Step-by-step explanation:

please click thanks and mark brainliest if you like :)

MAXImum [283]3 years ago

3 0

Answer: x ≈ 1.59688927, −1.60312387, −4.67045686, 4.69039614, 7.872914, −7.91513776, −10.89002194

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Simplify 2*cosx*(2x+30°) + √3=0

Simplify each term.

Apply the distributive property.

2 cos ( x ) ( 2 x ) + 2 cos ( x ) * 30 ° + √ 3 = 0
Multiply 2 by 2
4 cos ( x ) x + 2 cos ( x ) *30 ° + √ 3 = 0
Multiply 30 °by 2
4 cos ( x ) x + 60 cos ( x ) + √ 3 = 0
Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √3
4xcos(x)+60cos(x)+√3=0
Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194

You might be interested in

Find the square root of the following using division method . iv) 36360

sveticcg [70]

Answer:

190.684

Step-by-step explanation:

To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs

, 1 $\dot{3}$ $\overline{63}$ $\overline{60}$

, 1 1

2, <u>9</u> 2 $\overline{63}$

9 261

38, <u>0</u> 2 60

0 0

380, 6 26000

, 6 22800

3806, 8 320000

, 8 304480

38068, 4 1552000

Which gives 190.684

3 63 60

We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1

We have 1 * 1 = 1

We subtract it from the 3 to get 2

We add the 1's to get 2

We bring down the next pair which is 63 to form the next dividend, 263

We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261

We continue till we arrive at the vertical paired numbers which is 190.684.

7 0

3 years ago

A stock with a beta greater than 1.0 has returns that are ________ volatile than the market, and a stock with a beta of less t

djverab [1.8K]

Answer:

more, less

Step-by-step explanation:

Beta is a measure of volatility. It is used in calculating the cost of equity using the CAPM (Capital Asset Pricing Model formula).

A beta greater than 1 signifies that the returns from an investment is expected to be higher than the returns from the general market as the risk inherent in that investment is higher.

Similar to the economic concepts of elasticity, a change in one variable (in this case, beta of the stock) setting about a greater than proportionate change in another variable (returns from the stock).

Thus, a stock with beta of less than 1, will be less volatile than the market.

I hope this helps you understand the concept better.

8 0

3 years ago

What is a factor of 13 and 80

djyliett [7]

Answer: The only factor of 13 and 80 is 1.

Step-by-step explanation:

Factors of 13: 1, 13.

Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.

The only factor they have the same is 1.

3 0

3 years ago

What is the solution to the system of equations?

Dovator [93]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}$

$\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}$

$x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10$

4 0

3 years ago

A single number between 0 and 9 occurring either alone or in a larger number is called a what

USPshnik [31]

Answer:

A chronilagical corientation

Step-by-step explanation:

My teacher told me :()()()

6 0

3 years ago