Find all the solutions in the interval [0,2π)
sin²x = 2-2cosX

Answers

Answer 1

Step-by-step explanation:

sin²x = 2 - 2cosx

1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)

cos²x - 2cosx + 1 = 0

(cosx - 1)² = 0

cosx - 1 = 0

cosx = 1

Hence x = 0.


Related Questions

What percentage of students age 15 and above travel to school by car? Round to the nearest whole percent.

Answers

Answer:

18%

Step-by-step explanation:

First, we need to find out the underage of 15 for walking/biking. 152-65=87

then we subtract 87 and 60 from 165 to get 18%

Let f(x) = 5x ^ 2 - x + 1 and g(x) = - 3x . Evaluate the composition (fg)(1)

Answers

f(x) = 5(-3x) ^2 - (-3x) + 1
f(x) = -8x ^2 + 3x + 1
f(x) = -8x ^3 + 3x

9514 1404 393

Answer:

  -15

Step-by-step explanation:

(fg)(1) = f(1)×g(1) = (5×1² -1 +1)×(-3·1) = (5)×(-3)

(fg)(1) = -15

Which one should I choose

Answers

Answer:  X

Step-by-step explanation:

What is 54 in the ratio 5:11:2

Answers

5/22 I’m pretty that’s the answer

PLEASE HELP QUICK WILL GIVE BRAINLYIST!!!!
Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. The length of A A prime is 16.
What is the scale factor of the dilation of line segment BA?

One-fifth
One-fourth
4
5

Answers

Answer:

D

Step-by-step explanation:

Cus the other guy is big brain

The  scale factor of the dilation of line segment BA is 5.

What is Scale factor?

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.

When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.

Given:

AC= 4

AA' = 16

and, A'C= 16+ 4 = 20

So, scale factor = AC/ A'C

                          = 4/5

                          = 1/5

Hence, the scale factor of the dilation of line segment BA is 5.

Learn more about scale factor here:

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Please help this us so confusing

Answers

Answer:

The surface area of the prism is 48 units².

Step-by-step explanation:

Remember, a net is simply the outer surface of a 3D shape flattened and spread out as a combination of 2D shapes.

With this info, the rest is relatively easy.

The net shows that there are 4 rectangular sides and 2 square sides. We also know the lengths and widths of all of them.

One rectangle is 5 units long and 2 units wide. One square is 2 units long and 2 units wide.

Let's put this into an equation.

4( 5*2 ) + 2( 2*2)

We are adding the areas of the rectangles and squares.

So, let's simplify that equation.

4(10) + 2(4)

40 + 8

48


Find using y=Mx+b

M=3 and (5,-4)

Answers

Answer:

m is the slope, and bb is the yy-intercept

this is the slope-intercept form of a line, y=mx + b, where it is clearly labeled using arrows that the slope is denoted by the letter m and the y-intercept is denoted by letter b

Answer:

y=3x-19

Step-by-step explanation:

-4=(5)(3)+b

-4=15+b

-19=b

y=3x-19

A certain student has taken 124 credit hours so far in college. The student took the same number of credit hours in each fall semester and the same number of credit hours in each spring semester. The equation 15x + 16y 124 represents this situation, where x is the number of fall semesters and y is the number of spring semesters in which the student has taken classes. How many more credit hours did the student take in each spring semester than in each fall semester?​

Answers

Answer:

Hi how are you doing today Jasmine

These are the cost and revenue functions for a line of trumpets sold at a music store: RX) = 76x -0.25x2 C(x) = -7.75x + 5,312.5 Based on these functions, what is the maximum profit that can be made, to the nearest dollar? A. $1,469 B. $1,702 C. $3,375 D. $5,776​

Answers

Answer: It is not D.

Step-by-step explanation: I got it wrong lol

Answer:

C.

Step-by-step explanation:

6 friends are going on a trip and are splitting the cost of a rental house that is $534. How much does each person have to pay?

Answers

The answer is 89 You just divide 534 and 6

Answer:

$89

Step-by-step explanation:

cost of the house is $534 as 6 PEOPLE are going to obtain the cost of a single person you have to divide the total value by 6

Which is the graph of the system of equations
Y=3x+6 and y=3x+1?

Answers

The answer is B let me know if this helps ok.

Answer:

b

Step-by-step explanation:

15 customers entered a store over the course of 3 minutes. At what rate were the customers entering the store in customers per minute?​

Answers

Answer:

5 customers per minute

Step-by-step explanation:

5 customers : 1 minute

Which operation could be used to solve this equation?
x - 7 = 38


A=Addition
B=Subtraction

C=Multiplication


D=Division

Answers

You could use A.Addition
Because
You could do 38+7=45

Hope this helps

Have a great day/night

Answer:

The answer is that you have to have Addition and division to solve this equation

If 6s =24 does 6s /6=24/6

Answers

Answer:

yes, s = 4

Step-by-step explanation:

if 6s = 24 then s must equal 4

6s/6 = 24/6 plug s = 4

6(4)/6 = 24/6     (6*4=24)

Which number line best shows the position of square root of 7?

Answers

Step-by-step explanation:

First off, you want to find the whole number in square root form

1 = √1

2 = √4

3 = √9

4 = √16

5 = √25

You want to find which to numbers √7 is in between

7 is between 4 and 9 so the √7 is in between √4 and √9 which means that √7 is between 2 and 3

The second one is your answer

I hope this helps!!!

14 years ago the age of the mother was 4 times the age of her daughter. The presen
age of the mother is 2 times the age of her daughter will be 4 years hence. What
their present ages?​

Answers

Answer:

Daughter is 25, mother is 58

Step-by-step explanation:

Let m = age of mother now

Let d = age of daughter now

m - 14 = 4(d - 14)

m = 2(d + 4)

m - 14 = 4d - 56

m = 2d + 8

subtracting them gets

14 = -2d + 64

2d = 50.

d = 25

m = 58


What is 5/3.5 as an improper fraction

Answers

Answer:

either [tex]\frac{10}{7}[/tex] or 1 [tex]\frac{1.5}{3.5}[/tex]

Step-by-step explanation:

Answer: 1.5

                3. 5

Step-by-step explanation:

can someone please help me?!?!?!?
I've asked over 10 questions that haven't been answered and I'm really struggling and if someone could please help me that would be really nice.

Answers

Answer:You havent attached anything to youre question.

Step-by-step explanation:

You need to attach someone so people can help you.

Can someone help me I’m giving the brainliest

Answers

Answer: Dividing by 4 is the inverse of multiplying by 4

Find the values of x and y 155 13x 5y

Answers

Answer:

6

Step-by-step explanation:

help me plss!! thank you!!

Answers

Answer:

24 feet

Step-by-step explanation:

160/100=1,6

1% - 1,6 square feet

100-5-25-45-10=15

1,6 x 15= 24

A side of the triangle below has been extended to form an exterior angle of 159°. Find the value of x

Answers

Answer:

Find the the angle by subtracting 159 from 180 that’s your answer= 21 degrees

Step-by-step explanation:

brainliest plssss

Answer:

Show the answer choices

Step-by-step explanation:

Show answer choices

A small box holds 60 books. A large box holds 135 percent as many as thaan a a small box how many books does the large box hold

Answers

Answer:

81 books

Step-by-step explanation:

60 x 1.35 = 81

81 books explaination sksiwiwiwjwjwjieieieke

Write an equation of the line passing through point P that is perpendicular to the given line P(6, -3), y

Answers

Answer:

Equation of the line is: [tex]x=6[/tex]

Step-by-step explanation:

We know that , the equation of any line parallel to y axis is :

[tex]x=k[/tex]    where [tex]k[/tex] ia a constant

And here it is given that the line is passing through the point P(6,-3)

Therefore, it will satisfy the equation [tex]x=k[/tex].

So, substitute [tex](6,-3)[/tex] in equation [tex]x=k[/tex], we get

[tex]k=6[/tex]

Hence the equation of line will be [tex]x=6[/tex]

Angle DEB is 71. What size is ABD

Answers

Answer:

71°

Step-by-step explanation:

ABD is alternate to DEB. Therefore ADB = DEB = 71°

The required size of angle ABD is 71.

What is alternate segment theorem?

The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.

Now it is given that,

angle DEB = 71

Also given that B is the point on the circumference of the circle, and suppose “O” be the centre of the circle.

Now, AC is the tangent of the circle that passes through point B.

The tangent makes an angle ABD with the chord BD.

Now, given that ∠DEB = 71 in the alternate segment.

Now, we have to prove that ∠ABD = 71.

Thus, OD =OB (Both are the radii of the circle)

Also, ∠ODB = ∠OBD (since the angles opposite to the equal sides are equal)

Since, OBD is an isosceles triangle

∠BOD = 180° – ∠ODB – ∠OBD

∠BOD = 180° – 2∠OBD …(1)

Since, the line segment AC is the tangent line,

∠OBA = 90°

Therefore, ∠OBA = 90° – ∠OBD …(2)

From the equations (1) and (2), we can write

∠AOB = 2∠DEB

We know that the angle at the centre of the circle is twice the angle at the circumference of the circle.

∠BOD = 2∠DEB

∠DEB = (½)∠BOD

Now, substitute ∠BOD = 2∠DEB  in the above equation, we get

∠DEB = (½)2∠DEB

∠DEB = ∠DEB

⇒ ∠DEB =71

Thus, the required size of angle ABD is 71.

To learn more about angles :

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Mr. brown drove from his home to his school at the rate of 25 mph and returned by a different route at the rate of 30 mph. the route by which he returned was 5 miles longer than the route by which he went. the return trip took 10 minutes less than the trip out. Find the distance Mr. brown traveled each way.

Answers

Answer:The route from the home to the school is 50

miles long.  The route back is 55 miles

miles long.

Step-by-step explanation:

WILL GIVE BRAINLIEST IFFFF CORRECT!!!!

Answers

The answer is the last one!

Explanation:

M represent the number of minutes. The equation shows the .15m . Meaning that they charge .15 cents every minute PLUS a flat fee of $35. The second part of the equation is the same; they charged .25 cents every m ( .25m) PLUS a flat fee of $20. All of this was shown in the last question if you look closely.

Find the slope of the line using the table. (keep as a fraction) CORRECT ANSWER GETS BRAINLIST HURRY BEFORE PEOPLE TAKE IT!!!

Answers

Step-by-step explanation:

We notice that when x increases by 3, y decreases by 2.

Hence the slope of the line

= Rise of y / Run of x

= (-2) / (3)

= -2/3.

PLEASE HELP ME I NEED HELP PLEASE HELP

Answers

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because i have had this question before.

The commutative property and the associative property only apply to the operations of addition and multiplication.

Question 2 options:
True
False

Answers

Answer:

I think it is true

Step-by-step explanation:

I am not completely sure but yeah I think its true

Step-by-step explanation:

The commutative property and the associative property only apply to the operations of addition and multiplication.

TRUE

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