Determine the general solution of 2 sin x.cos x-cos x=0​

Answers

Answer 1

Answer:

[tex]{ \tt{(2 \sin x. \cos x) - \cos x = 0}} \\ \\{ \tt{ \cos x(2 \sin x - 1) = 0 }} \\ either : { \tt{ \cos x = 0 \: \: or \: \: (2 \sin x - 1) = 0}} \\ \\ { \boxed{ \bf{x = 30 \degree, \: 90 \degree, \: 150 \degree,\:270\degree}}}[/tex]


Related Questions

Easy please help me with this assignment

Answers

Step-by-step explanation:

y=x may be

may it helped u ....

It’s actually the last equation (I)
If u plug in the x coordinate in the table (eg.2) into the equation y=3x-2, you are left with y=3(2)-2 which equals 6-2=4
So y=4
Checking the corresponding value for that x value, the y value is 4 so the equation is correct.

A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.

Answers

Answer:

36

Step-by-step explanation:

16. Subtract: 5 - 3 1/3

Answers

Answer:

1  2/3 ( d is the answer)

Step-by-step explanation:

See image below:) I know it says 5/3 but where it says alternative form it says 1  2/3

Turn in an improper fraction
3 1/3
= 10/3

5/1 - 10/3

15/3 - 10/3

5/3 or 1 2/3

The denominator of a fraction is twice the numerator. If 3 is added to the numerator and 3 is subtracted from the denominator, the new fraction is 7/5. Find the original fraction.

Answers

Answer:

4/8

Step-by-step explanation:

d = 2n

n+3 = 7

d-3 = 5

substitute '2n' for 'd' in d-3=5

2n-3 = 5

2n = 8

n = 4

d = 2(4)

4/8

Which of the following values could be an absolute value?

Answers

Answer:

Step-by-step explanation: It could be 8,7, or 2. Because these are all positive

:)

Solve P = 8/3 R + 30 for R.

Answers

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = [tex]\frac{8}{3}[/tex]R

multiply each side by [tex]\frac{3}{8}[/tex] to get:

[tex]\frac{3}{8}[/tex] · P - 30 = R

R = (3P-30)/8

Find the volume of each shape. Round your answer to two decimal places.with clear explanation.

Answers

Answer:

Volume = 111.33 in.³

Step-by-step explanation:

The volume of the shape = volume of the rectangular prism part + volume of the triangular prism part

✔️volume of the rectangular prism part:

V = L*W*H

Where,

L = 5.1 in.

W = 3.4 in.

H = 5.9 in.

V = 5.1*3.4*5.9

V = 102.306 in.³

✔️volume of the triangular prism part:

V = ½*b*h*l

b = 6 - 5.1 = 0.9 in.

h = 5.9 in.

l = 3.4 in.

V = ½*0.9*5.9*3.4

V = 9.027 in.³

✅Volume of the shape = 102.306 + 9.027

= 111.333 in.³

≈ 111.33 in.³ (approximated to 2 decimal places)

How to solve this?!?!? (5x+24)(9x+12) + (3x+9)(8x+6)(2x+7)

Answers

Answer and Step-by-step explanation:

First, multiply the parentheses, then add everything together.

-- (5x + 24)(9x +  12)

-- 45[tex]x^2\\[/tex] + 60x + 216x + 288 (Simplify)

-- 45[tex]x^2\\[/tex] + 276x + 288

--- (3x + 9)(8x + 6)

--- 24[tex]x^2\\[/tex] + 18x + 72x + 54 (Simplify)

--- 24[tex]x^2\\[/tex] + 90x + 54

---- (2x + 7)(24[tex]x^2\\[/tex] + 90x + 54)

---- 48[tex]x^{3}[/tex] + 180[tex]x^2\\[/tex] + 108x + 168[tex]x^2\\[/tex] + 630x + 378 (Simplify)

---- 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 45[tex]x^2\\[/tex] + 276x + 288 + 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666

48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666 is the final answer.

#teamtrees #PAW (Plant And Water)

Answer:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

Step-by-step explanation:

we would like to simplify the following:

[tex] \rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)[/tex]

there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as

[tex] \rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}[/tex]

let's figure out FOIL-1 part

By FOIL we obtain:

[tex] \displaystyle {45x}^{2} + 60x + 216x + 288[/tex]

simplify addition:

[tex] \displaystyle {45x}^{2} + 276x+ 288[/tex]

let's figure out FOIL-2:

By FOIL and PEMDAS we acquire:

[tex] \rm \displaystyle {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

finally the whole part

[tex] \rm \displaystyle {45x}^{2} + 60x + 216x + 288+ {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

combine like terms:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

and we are done!

PLEASE HELP ASAPPPPP!!!!!!
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?

Answers

The total combinations are found by multiplying each option by each other.

2 spreads x 3 meats x 4 breads = 24 different combinations.

Answer : 24

What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2

One Solution

No Solution

Infinite Solutions

Answers

Answer:

one solution I think is the answer

One solution I really hope this help

Given that A=1/2πrh, make r the subject of the formula?​

Answers

Answer:

r=1/2πhA

Step-by-step explanation:

..................

Therefore, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]A=\frac{1}{2}\pi rh[/tex]

So,

[tex]A=\frac{1}{2}\pi rh\\\\r=2A(\frac{1}{\pi h})\\\\r=2A(\pi h)^{-1}[/tex]

Hence, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N

Answers

Answer:

x = 3.3

Step-by-step explanation:

Reference angle = 51°

Hypotenuse = x

Adjacent = 5.3

Apply trigonometric function CAH, which is:

Cos 51° = Adj/Hyp

Cos 51° = 5.3/x

x*Cos 51° = 5.3

x = 5.3/Cos 51°

x = 3.3 (nearest tenth)

Can y’all help me on question 6?!

Answers

Answer:

B

Step-by-step explanation:

To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.

I believe the answer would be B. 160ft^2

Since you are looking for area, you need the little 2 at the end to signify that it is squared feet, so that eliminated A and C

Now, the area for a parallelogram is base(height) so it would be 20(8) which is 160

Since we have previously eliminated A and C for not having the feet squared, it would be B

Please correct me if I am wrong, have a good day!

Find the area of the figure below

Options
360 ft²

240 ft²

275 ft²

300 ft²

Answers

Answer:

The total area is 300 ft^2

Step-by-step explanation:

First find  the area of the rectangle

A = l*w = 24*10 = 240

Then find the area of the triangle on the top

A = 1/2 bh

The base is 24 and the height is 15-10 = 5

A = 1/2 (24)*5 = 60

Add them together

240+60 = 300

The total area is 300 ft^2

Answer:

Total area of figure is 300 ft ²

Step-by-step explanation:

Finding the area of rectangle

We know that

Area of rectangle = length × width

Where,

length of rectangle = 10 ftwidth of rectangle = 24 ft

Substitute the values into the formula

Area = 10 ft × 24 ft

multiply ✖ , we get

Area of rectangle = 240 ft ²

Similarly, Finding the area of triangle

We know

Area of triangle = 1 /2 × Base × Height

Where,

Base of triangle = 24 ftHeight of triangle = 15 - 10 = 5 ft

Substitute the values

Area of triangle = 1 /2 × 24 ft × 5 ft

multiply

Area of triangle = 1/2 × 120 ft ².

divide , we get

Area of triangle = 60 ft ².

And Finally, Finding the total area

Total area of figure = Area of rectangle + Area of triangle

Total Area = 240 ft ² + 60 ft ²

➛ Total area of figure = 300 ft ²

A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?

Answers

Answer: 61.25 meters

8.75meters x 7mins= 61.25 meters

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

A pizza is cut into 3 slices. The first piece was 2over 9 and the second one was 2 over 7. How big or small was the last piece

Answers

Answer:

2/5

Step-by-step explanation:

ok

what is the product of -8 1/3 and 3 2/5

Answers

Answer:

-28 1/3

Step-by-step explanation:

-8 1/3= -25/3

3 2/5= 17/5

-25/3*17/5= -28 1/3

The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?​

Answers

There is a formula for the total interior angles of a polygon:

180(sides−2)=total interior angles

One of the angles is 100 and all the others are 110.

We can rewrite the equation.

Assume there is x number of sides.

There are x−1 number of angles, 110 degrees

180(x−2)=100+110(x−1)

180x−360=100+110x−110

70x−360=100−110

70x−360=−10

70x=3507x=35

x=5

There are 5 sides to the polygon.

We can check our answer:

180(sides−2)=total interior angles

Therefore it is true:

The polygon has 5 sides

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

Help plz I’m confused

Answers

Answer:

C.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] is between 0 and 1

Only 1 point is between 0 and 1

C.

The answer is point C. 2/3 is a fraction between 0 and 1. And since point C is between 0 and 1, then the answer is point C

At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?

Answers

Answer:

im not sure about this one but my answer is 0.025.

Step-by-step explanation:

if there is a 1 out of 8 chance of getting a free burger,  convert that into 1/8. divide that by 5 and you get 0.025.

A basketball player scored 14 times during one game. She scored a total of 15 ​points, two for each​ two-point shot and one for each free throw. How many​ two-point shots did she ​make? How many free​ throws?
She made ____ two-point shots

Answers

Answer:

The player made one two-point shot and 13 free throws.

Step-by-step explanation:

We can write a system of equations to model the situation.

Let t represent the number of two-point shots and let f represent the number of free throws made.

Since she scored a total of 14 times, the sum of two-pointers and free throws must equal 14. Hence:

[tex]t+f=14[/tex]

And since she scored a total of 15 points and each two-pointers is worth two points and every free throw is worth one:

[tex]2t+f=15[/tex]

Solve the system. We can use elimination. From the first equation, multiply both sides by negative one:

[tex]-t-f=-14[/tex]

We can add this to the second equation:

[tex](2t+f)+(-t-f)=(15)+(-14)[/tex]

Simplify:

[tex]t=1[/tex]

So, the player made only one two-point shot.

Using the first equation again, substitute one for t and solve for f:

[tex](1)+f=14\Rightarrow f=13[/tex]

Therefore, the player made one two-point shot and 13 free throws.

Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

A pizza has a radius of 7 inches. If it is cut into 6 equal slices, what is the area of each slice?

Answers

answer: each slide would be one sixth of the entire area; the entire area is (pi)(72).  

Do not use pi = 22/7 because that's untrue. It's approximately 3.1416; round off later!

hope this helps

First we need to find the area of the circle. The formula for the area of the circle is the radius squared times pi. So the entire area would be 49 pi. Then divide 49pi by 6. That is 8 1/6 pi. Then you can plug pi in. So the answer is approximately 25.6563400043

Convert the fraction greater than one into a mixed number 9/4

Answers

Answer: 2 1/4

Step-by-step explanation:

If anybody needs gauthmath code for homework this is my code = ER326P

Answers

Omg what? I don’t get it

Which one of these polls is the correct answer? Please help.

Answers

M= 4

Hope that helps have a great day!

Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? * ​

Answers

Answer:

i think it is 46

Step-by-step explanation:

Answer:

2.9lbs

Step-by-step explanation:

there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.

what is the common difference of the following sequence?
3,5,7,9,11___

16,19,22,25___​

Answers

Answer:

the first one goes by 4n-1

the Second sequence goes by 3n + 13

Step-by-step explanation:

using the formula an=a1+d(n-1)

Please help immediately! In desperate need!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).

In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).

I need help with this problem

Answers

Step-by-step explanation:

y=sin ^-1(9/14) =44,27 degree

X= by pythegoras) =14 square - 9 square

= root 115

20 5 4 2 X 2.5 12 1.5 3​

Answers

Answer:

x = 10

Step-by-step explanation:

if two prisms are similar then the side lengths are proportional

2/4 = x/20 cross multiply expressions

40 = 4x divide both sides by 4

10 = x

Other Questions
Please HELP! Given this graph of function f(x), find f (-2) Which passage most clearly contains imagery?O A. "Don't say another word!" Gina shouted.B. The odor of rotten eggs wafted from within.C. He suspected. He knew. He saw. He smiled.D. First, call our hotline. Next, work out a plan.SUBM Show Intro/InstructionsA wire 15 centimeters long is cut into two pieces. The longer piece is 3 centimeters longer thanthe shorter piece. Find the length of the shorter piece of wire. 1.Which STi is known as the "silent disease"? Explain Why. 40. A playground is constructed with the. dimensions and shape shown below. What is the area of the playground? work out 6/5 of 200 and show working out rons bagel shops has sold 6 sesame bagels and 24 other bagels. considering this, how many of the next 90 bagels sold should you expect to be sesame bagels? 4. Type of data that is given as individual data points.a groupedc. researchb. questionnaired. un grouped PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP A.)55B.)38C.)70D.)20 How has economic globalization influenced the 21st-century nationalist movements described in Source 1?O Nationalist movements have faded as a result of increased global connections.O Nationalist movements have attacked globalization as a threat to local sovereignty.O Nationalist movements have promoted globalization as a form of economic freedom.O Nationalist movements have remained separate from globalized systems of exchange. Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)a. Crosses the y-axis at (0, 4)b. Increases in the interval 12 x 2c. Constant in the interval 2 x 2d. Decreases in the interval 2 x 12 Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 years A. 1:3 B. 2:5 C. 3:10 D. 4:9 Which expression represents "5 times the sum of 4 and y?" A) 54 + yB ) 5(4 + y)C ) 4+5yD ) 4(5 + y) Anna asked her mother if she could drive the car to the store herself. Anna's mom said, "Sure, ten-year-olds drive themselves to the store all the time!" What kind of irony is used in this story? PLLLZ HELP!!1)Physical evidence suggests that long ago the climate was much the same all over the earth.TrueFalse2)The Bible is one of the records of life.TrueFalse3)Natural and human influences affect the balance of nature.TrueFalse Un poste de luz tiene un cable en la punta con el que forma un ngulo de 60. Indique la longitud del poste sabiendo que el cable mide 7 metros desde la punta del poste hasta el suelo. Calculate the mass in grams of 24.5 mL of diethyl ether, an anesthetic that has a density of 0.713 g/mL. Round your answer to the tenth's place. Where did MacArthur land American troops?O SeoulO Pusan PeninsulaO InchonO Pyongyang Mr.Caldwell has 10 full size pizzas and half of another one.He wants to share the pizza with 8 of students. Mr.Caldwell doesn't want any pizza.How much pizza did will each student get?