Solve on the interval [0,2pi):
2 sin^2 x-3 sin x + 1 = 0

Answers

Answer 1

Answer:

How do you solve #2sin^2x+3sinx+1=0# and find all solutions in the interval #[0,2pi)#?

Trigonometry Trigonometric Identities and Equations Solving Trigonometric Equations

Answer:

Explanation:

We may identify this as a quadratic equation in #sinx# and factorise it as a trinomial to obtain the solutions as

#(2sinx+1)(sinx+1)=0#

#thereforesinx=-1/2 or sinx=-1#

#therefore x= (7pi)/6 or (11pi)/6 or (3pi)/2#


Related Questions

The scale of a map says that 4 cm represents 5 km.

Part A: What distance on the map (in centimeters) does an actual distance of 4 kilometers represent?
____ centimeters

Part B: What is the actual number of kilometers represented by 5 centimeters on the map?
____ kilometres

Español

La escala de un mapa dice que 4 cm representan 5 km.

Parte A: ¿Qué distancia en el mapa (en centímetros) representa una distancia real de 4 kilómetros?
____ centímetros

Parte B: ¿Cuál es el número real de kilómetros representado por 5 centímetros en el mapa?
____ kilómetros ​

Answers

Answer:

Part A:3.2

Part B:6.25

Step-by-step explanation:

Map:Actual

4cm:5km

1cm:1.25cm

Part A:

?cm:4km

3.2cm:4km

Part B:

5cm:?km

5cm:6.25km

Help me to do this question plz plz plz
I will make you as brainlist plz​

Answers

Answer:

1. 5

2. 12

3. a. 12

3. b. 18

Step-by-step explanation:

1. 50 - 45 = 5.

2. 26 - 18 = 8. 30 - 18 = 12. 12 + 8 = 20. 20 + 18 = 38. 50 - 38 = 12.

3. a. 24 - 12 = 12.

4. 40 - 12 = 28. 24 - 12 = 12. 28 + 12 + 12 = 52. 70 - 52 = 18.

Find the values of x and y.

Answers

Answer:

x = 24

y = 59

Step-by-step explanation:

To solve for x, we can say that;

(5x) + (2x + 12) = 180

7x + 12 = 180

7x = 180 - 12

7x = 168

x = 168 / 7

x = 24

To solve fore y, we can say that;

(3y) + (y - 56) = 180

4y - 56 = 180

4y = 180 + 56

4y = 236

y = 236 / 4

y = 59

Hope this helps!

Would you rather be reborn into the past or future? Why?

Would you rather go into the past and meet your ancestors or go into the future and meet your great-great grandchildren? Why?

Would you rather have a rewind button or a pause button on your life? Why?


(I'm aware that this isn't a mathematical question, this is simply just for fun:)

Answers

Answer:

Future just cause I don't really have much interest about the past, moving forward as always. I'd like to see how things advance over time :")

I think a rewind is more useful in this case if I am able to correct my mistakes or have a moment back again, I'd like that.

Given the function f (x) =
1/2x^2+ 2x – 5, what is the value of f (10)?

Answers

Answer:

answer is 40 :)

Step-by-step explanation:

hope this helps :) have a great day!

IT KEEPS SHOWING SOME LANGUAGE FOR THE DIVISION SYMBOLS

What is the quotient?
4
2
5
다.
0 1
-2
UN
12
35
O

Answers

Answer:

-2/5

Step-by-step explanation:

Given the expression

-4/5 ÷ 2

= -4/5 * 1/2

= (-4*1)/(5*2)

= -4/10

= -2/2 * 2/5

-2/5

Hence the required values is -2/5

help me with this please​

Answers

Answer:

Perimeter= 20 cm

Area = 25 cm^2

Difference between 28cm^2 and 8cm^2= 20cm^2

Step-by-step explanation:

The formula to calculate the perimeter of a square is P= 4 * (the length of any side or "s").

Therefore:

P = 4 * 5cm

P = 20 cm

The formula for calculating the area of a square is A= (length of any side or "s")^2

So:

A= 5cm^2

A= 25cm^2

Remember the units in your answer!

The difference between indicates subtraction, and 28cm^2 and 8 cm^2 are like terms so:

28cm^2 - 8 cm^2 = 20 cm^2

Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
O A. y = (x+3)(x+5)
B. y = (x-3)(x +5)
C. y = (x-3)(x-5)
O D. y = (x+3)(x-5)

Answers

Answer:

need this  anyone got it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need to find x pls help

Answers

x = 120 degrees

Explanation:

Draw the line BC

(Angle DBC is 90 degrees because it is an angle in a semicircle.)
Angle DBC = 90 degrees

Angle ABC = Angle ABD + Angle DBC = 30 + 90 = 120 degrees

explain why it is not possible to charge an electroscope by Touch by touching the cup with a finger​

Answers

It’s impossible to do

What is the degree of 5x + 3x2 - 4x+1?
3
4
5
6

Answers

Step-by-step explanation:

option A

3 IS CORRECT

HOPE IT HELPS

Answer:

3

Step-by-step explanation:

edge 2021

Which is a simplified form of the expression 2(y + 1) + 2(y – 2)?
A. 2y + 1
B. 4y - 2
C. 2y - 1
D. 4y - 3

Answers

B. 4y - 2

Hope this helps! :)

Answer:

B. 4y - 2

Step-by-step explanation:

2( y + 1 ) + 2( y - 2 )

= 2y + 2 + 2y - 4

= 2y + 2y + 2 - 4

= 4y - 2

= 4y - 2

By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?

Answers

Answer:

133.33%

Step-by-step explanation:

x/y * k = 1.6x / 1.2y

k = (1.6x / 1.2y) / (x/y)

k = 1.6/1.2

k = 4/3 = 1.3333 = 133.33%

Please help, it’s due tonight. I do have my answer I just need help explaining how it work for any number..

Answers

Answer:

Yes it is 10!

Step-by-step explanation:

5+20=25

25x5=125

125+125=250

250-200=50

50/5=10

What amount would yield an interest of $66 in 2 years at 3% p.a.?

Answers

It would be 12 because you have to solve for the percent

4x-3=2x+7 and 2x+6=7x-14​

Answers

Your answer to question 1 equals 5 , your next answer to the 2nd question equals 4

in the diagram below, BD is parallel to XY. what is the value of Y?

Answers

Answer:

it's easy the value of y will be 70.

Answer:-

Both are corresponding angles and their sum will be 180

[tex]\\ \sf\longmapsto y+70=180[/tex]

[tex]\\ \sf\longmapsto y=180-70[/tex]

[tex]\\ \sf\longmapsto y=110°[/tex]

Find the product. I need it quickly

(−3x^2+2)(4x+5)

Answers

Answer:

-12x+20

Step-by-step explanation:

Answer:-12x^3 - 15x^2 + 8x + 10

Step-by-step explanation:

Write one digit on each side of 73 to make a four digit multiple or 36. How many different solutions does this problem have? And what are they.

Answers

Answer:

73 u have to add any digit either at right or left therefore

73+11=

them multiply by 36

73×36

Addison and multiplication is t a e answer

Answer:

There are two solutions to the problem.

The numbers are 6732 and 2736.

Step-by-step explanation:

36 = 4*9

The four digit number must be divisible by 4 AND by 9.

The last two digits must be divisible by 4.  So only 2 and 6 are possible.

X732, X736.

X must be such that the four-digit number is divisible by 9.

7+3+2=12, so a 6 to make the sum of digits = 18, hence divisible by 9.  So 6732 is divisible by 36.

7+3+6 = 16, so a 2 to make 2736 whose sum of digits = 18, hence the four digit number is divisible by 9.  So 2736 is divisible by 36.

There are two solutions to the problem.

The numbers are 6732 and 2736.

The number of new trees planted is increasing each year. The table shows the
change in number of new trees planted from year to year. How many new
trees will there be in year 5?
Year
Population
1
30,000
2
45,000
3
67,500

Answers

The answer is 45,000

a. step one
b.step two
c. step three
d. Keisha did not make a mistake.

Answers

Answer:

d. Keisha did not make a mistake

Step-by-step explanation:

3+(-4)-7

3+(-4)+(-7) adding negatives is the same as subtracting

3+(-11) -4 and -7 do make -11

-8 3 and -11 do make -8

So she did it correctly, which means d is the right answer.

:) ur welcome

Find x. Round to the nearest tenth: 29 500 ft

Answers

Answer:

437.3ft

Step-by-step explanation:

last of sines

a/sin(A) = b/sin(B) = c/sin(C)

sin(90) = 1

the angle between y and 500ft side is 90-29 = 61 degrees.

so,

x/sin(61) = 500/1 = 500

x = 500 × sin(61) = 437.3ft

In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

What is trigonometric ratio?

"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."

Formula used

[tex]sin\theta = \frac{opposite sides}{hypotenuse}[/tex]

[tex]cos\theta = \frac{adjacent sides}{hypotenuse}[/tex]

According to the question,

In a given right triangle ABC,

Hypotenuse [tex]=500 ft[/tex]

Opposite side [tex]= x ft[/tex]

Adjacent side [tex]= y ft[/tex]

As per the diagram drawn,

 [tex]\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°[/tex]

Substitute the value in the above trigonometric ratio formula we get,

[tex]sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft[/tex]

[tex]\implies x = 435.4 ft[/tex] (round to nearest tenth)

In trigonometric ratio [tex]cos\theta[/tex] we get,

[tex]cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft[/tex]

Hence , In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

Learn more about trigonometric ratio here,

https://brainly.com/question/1201366

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Sally invests £8600 at a simple interest rate of 6% per year.
Work out the value of the investment after 3 years.

Answers

Answer:

a =10148

Step-by-step explanation:

A = P (1 + rt)

a= 8600(1+0.06*3)

a = 10148

Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)

Answers

Answer:

Option D

Step-by-step explanation:

Given the function [tex]g(x)=\frac{-7(x-5)^2(x+6)}{(x-5)(x+5)}[/tex], we see that [tex](x-5)[/tex] appears in both the numerator and denominator which cancel out to be [tex]\frac{-7(x-5)(x+6)}{(x+5)}[/tex]. This means that there's a vertical asymptote at [tex]x=-5[/tex] for the denominator to be 0.

Additionally, the limit of the function g(x) as x approaches -5 from the left side is -∞. The limit of the function g(x) as x approaches -5 from the right side is ∞. See the attached graph for a visual of these limits.

In conclusion, option D is correct.

Find m angle PMA +m angle CMT.
.
.
.
The last option: D. 84

Answers

Answer:

84

Step-by-step explanation:

m∠CMT=101-54=47

m∠PMA=37, So

m∠PMA+m∠CMT=47+37=84

The sum of the angle ∠PMA + ∠CMT will be 84 so option (D) will be correct.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

In other words, the angle is the measurement of the angular distance. For instance, we have a meter and an inch for linear motion, but we don't have a measurement for angular rotation, therefore the angle is helpful in determining angular rotation.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The Angle of description has given below

∠CMT=101-54=47

∠PMA=37, means

∠PMA+∠CMT = 47+37 = 84 hence, 84 will be the correct answer.

For more about the angle

brainly.com/question/13954458

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Help please witch two statements are both ture?

Answers

Answer:

The third option is the correct option

By how many % did 100 decrease to 79?

Answers

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

i neeed hellppppp plzzz

Answers

Answer:

Mean=85.5

Median=82

Mode=82

Range=25

Please would you mind marking me as the brainliest:)

Answer:

Mean: 85

Median: 82

Mode: 82

Range: 25

Step-by-step explanation:

The mean is the average of all of the numbers. You add all of the numbers together and then divide by the total amount of number you have. In this case you have 8 scores. So you add all the scores together, and then divide by 8:

82 + 78 + 82 + 80 + 100 + 96 + 75 + 91 = 684

684/8 = 85.5

So 85 is the mean.

The median is the number that is in the middle of all of the numbers listed. To do this, first list the numbers in order:

75, 78, 80, 82, 82, 91, 96, 100

The two numbers in the middle are both 82. So, 82 is the median.

The mode is the number that appears the most. In this problem, you can see that the number 82 appears twice. So 82 is the mode.

The range is the highest number minus the smallest number. Here, the highest number is 100. The smallest number is 75. So,

100 - 75 = 25

25 is the range.

A farmer stacked hay bales. The volume of each hay bale is 10 2/3 cubic feet. The farmer stacked eight hay bales on top of one another. What is the total height of 1 hay bale? What is the total height of the 8 stacked hay bales? L=1 1/3ft W=4ft

Answers

Given:

Stacked Hay Bales:

L = 1 1/3 feet
W = 4 feet

The volume of each hay bale is equal to 10 2/3 cubic feet
The number of hay bales stacked = 8

To solve for the height, use the volume of the bales and the given length and width of a single bale.

V = l x w x h
10 2/3 cubic feet = 1 1/3 feet * 4 feet * height
height = 2 feet

So, if the height of one bale is 2 feet, then the height of 8 bales stacked is

2 feet * 8 bales = 16 feet

Therefore the height of the stacked hay bales is 16 feet.

plzzz help asap its for summer school btw​

Answers

Answer:

See below.

Step-by-step explanation:

Graphing the points on the number line will spell the word 'LATE'.

However, when graphing the absolute values of the numbers, they will spell the word 'TEAL'.

This is due to using absolute value which makes any value positive.

Ex: |-8| = 8

     |-5| = 5

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