Which numbers complete the blanks when solving the equation cos(x+2π) = - √2/2 over the interval [0,2π]

Answers

Answer 1

Answer:

x = 3π/4, 5π/4

Step-by-step explanation:

cos(x+2π) = -√2/2, [0,2π]

cos(x)cos(2π)-sin(x)sin(2π) = -√2/2

cos(x) = -√2/2

x = 3π/4, 5π/4

Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).


Related Questions

Chandra has 15 feet of ribbon to make bows for 6 teams how much ribbon can she use for each bow if she cuts the ribbon into equal pieces

Answers

Answer:

2.5 feet for each bow

Step-by-step explanation:

15/6= 2.5

I need help please I don’t know what to it is due today

Answers

Answer:

1

Step-by-step explanation:

They want you to do 53/4 and use the remainder as the answer, because you cannot have more than 4 cards on the page. 53/4 is 13 with a remainder of 1

Kevin and Randy Muise have a jar containing 34 coins, all of which are either quarters or
nickels. The total value of the coins in the jar is $5.30. How many of each type of coin do
they have?

Answers

Answer:

20 quarters quarters 14 nickles

Which graph corresponds with the inequality x< 10 ?

Answers

Answer:

C

Step-by-step explanation:

7 1/4 -3 3/4= 4 1 /4 - 3/4

Answers

Answer:

7/2

Step-by-step explanation:

The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?

Answers

We can multiply 201*12 to figure out how many books the library has. This gives us 2412. 2412 - 809 is 1603.

The library has 1,603 books remaining.

Answer:

Mr. Pham should expect about 45165 books to have no damage or minor damage.

florida sales tax is 7%. How much money comes out of your pocket if u buy something for $100

Answers

Answer:

$7

Step-by-step explanation:

If you use "Is over of" the equation will be ?/100*7/100, therefore after simplifying your answer is $7

Brainliest would be appreciated! :-)

The answer you are looking for the Florida tax for $100 is 7$

Find the GCF and LCM for 16 and 24.

Answers

Greatest Common Factors (GCF) of 16 and 24 = 8

Least Common Multiple of 16 and 24 = 48

GCF means Greatest Common Factors

Factors of 16 = 1, 2, 8, 4, and 16

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24

Common Factors of 16 and 24 = 1, 2, 4, and 8

Greatest Common Factors (GCF) of 16 and 24 = 8

LCM means Least Common Multiples

Multiples of 16 = 16, 32,48, 54.....

Multiples of 24 = 24, 48, 72....

The Least Common Multiple of 16 and 24 = 48

Learn more on GCF and LCM here: https://brainly.com/question/219464

Pleasee help with this question

Answers

Answer:

(2 x^2 z^13)/(z^8 y^5)

Hope This Helps!!!

Answer:

2xz⁵/y⁴

Step-by-step explanation:

16/8 = 2

x²/x = x

y/y⁵ = y⁻⁴

z¹³/z⁸ = z⁵

The town of Winchester recently built an artificial body of Vater. This reservoir will store drinking water for the
town. Which of the following could cause contamination of the water and lead to human health-related problems
and loss of native species?
development of a water quality plan
B building a fence around the reservoir
C improvements to a water treatment facility
increased use of pesticides (chemicals) by farmers within the local watershed

Answers

Answer:

This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.

Step-by-step explanation:

what is 2 3/15 roumded to the nearest half

Answers

Answer:

It is 7 whole

Step-by-step explanation:

3/15 is 5 without anything left plus the 3 is 7

Find the greatest common factor of 6a^3b^2c^10 + 20c^10 – 8a^3b^2c^9

Answers

Answer: [tex]2c^9[/tex]

Step-by-step explanation:

I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]

[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)

[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)

[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]

[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Common factors (terms that are in all expressions):

[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Simplify:

[tex]2c^9[/tex]

11. Select the proper order from least to greatest for 2/3, 7/6, 1/8, 9/10.
O A.1/8, 2/3, 9/10, 7/6
O B.2/3, 9/10, 7/6, 1/8
O C.7/6,9/10, 2/3, 1/8
O D. 1/8, 9/10, 7/6, 2/3

Answers

Step-by-step explanation:

Option A is the correct answer

Answer:

A is correct

Step-by-step explanation:

[tex]\frac{1}{8}[/tex] is 0.125

[tex]\frac{2}{3}[/tex] is 0.667

[tex]\frac{9}{10}[/tex] is 0.9

[tex]\frac{7}{6}[/tex] is 1.167

which from this you can see that A represents the order from smallest to largest

Help use photo for questions

Answers

the rise is -6 the run is 3 rise/run

y=-6/3

is it 90 IF NOT CAN SOMEONE TELL ME please

Answers

Answer:

90

Step-by-step explanation:

1000 + 500 = 1500mg (for 1 day)

1500 * 30 = 4500mg (1 month)

4500 : 500 = 90 tablets

What is the missing constant term in the perfect square that starts with x^2+2x?

Answers

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x

Using the method of completing the square

add ( half the coefficient of the x- term)² to x² + 2x

= x² + 2(1)x + 1²

= x² + 2x + 1

= (x + 1)² ← perfect square

first winter event question: wort 50 points and best explenation wins brainliest

whats 50 x 23 = ? Explain your awenser

Answers

Answer:

1150

Step-by-step explanation:

50x 23=150 +100=1150

What is the solution to the system of equations

Answers

Answer:

x = 5

y = -4

Step-by-step explanation:

jamie uses 54 buttons to make shirts. jamie uses 6 buttons to make each shirt. how many shirts did she make?

Answers

Answer: 9 shirts I think

Step-by-step explanation: 54/6=9

state whether each of the following equations represent growth or decay.

Answers

Answer:

answer below

Step-by-step explanation:

f(x) = a* bˣ

if a>0 and b>1 : growth

if a>0 and 0<b<1 : decay

5) 7) 9) : growth

6) 8) 10) : decay

When analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.

When determining whether an equation represents growth or decay, we need to examine the relationship between the variables involved. 1. If the equation represents a positive relationship, where as one variable increases, the other variable also increases, then it represents growth. 2. On the other hand, if the equation represents a negative relationship, where as one variable increases, the other variable decreases, then it represents decay.

Let's look at some examples to illustrate this: Example 1: y = 2x In this equation, as x increases, y also increases. Therefore, it represents growth. Example 2: y = -3x In this equation, as x increases, y decreases. Therefore, it represents decay. Example 3: y = -0.5x + 3 Here, as x increases, y decreases. So, this equation represents decay. Example 4: y = 4.5x + 2 As x increases, y also increases. Hence, this equation represents growth. In summary, when analyzing whether an equation represents growth or decay, we examine the relationship between the variables involved. If an equation shows a positive relationship, it represents growth, while a negative relationship indicates decay.

To know more about equations here

https://brainly.com/question/29174899

#SPJ2

A system of two linear equations has infinitely many solutions. The first equation is y=5x+3. What is the value of p in the second equation if the second equation is represented by 10x–2y=p?

p=

Answers

Answer:

Step-by-step explanation:

find the equation of a circle (3,2) (1,4)

Answers

Answer:

y = −x + 5

Explanation:

Use the slope formula and slope-intercept form y = mx + b to find the equation.

Hope this helped. Have a good one!

100 points please help will give brainliest

Answers

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

Can someone please help me on these? Please explain. Thank you.

Answers

Answer:

It might be 109 degrees

Step-by-step explanation:

Point J: 48 degrees

Point H: 23 degrees

Point F: 109 degrees

109 + 48 + 23 = 108 degrees

The quotient of a number and negative eight is five-eighths. Find the number.

Answers

Answer:

-64/5

Step-by-step explanation:

Basically, the word "quotient" means the answer to a division problem. Therefore, its a division problem, so you have to work backwards with multiplication. -8 times a number is 5/8, so the other number is going to be negative.

The number is -64/5

Answer:

n = -5

Step-by-step explanation:

Form this quotient, representing the number by n:  n / (-8) = 5/8.

Solve this equation for n by multiplying both sides by 8:  -n = 5.  Then n = -5

Please help me!!! I will try to give brainliest

Answers

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

eighteen minus the product of 7 and a number, p.

Answers

Answer:

Step-by-step explanation:

18 - 7p = ?

I need help with this question

Answers

Take a picture of your work and send it so I can help you

What is the value of x?

Answers

Answer:

x = 10.

Step-by-step explanation:

(5x-1) + (8x+5) + (4x+6) = 180   (the 3 angles in a triangle sum to 180 degrees).

5x + 8x+ 4x - 1 + 5 +6  = 180

17x + 10 = 180

17x = 170

x = 10.

A line segment has endpoints at (3, 5) and (6, 1)
What is the x-coordinate of the midpoint?

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+3}{2}~~,~~\cfrac{1+5}{2} \right)\implies \left( \cfrac{9}{2}~~,~~\cfrac{6}{2} \right)\implies \left(4\frac{1}{2}~~,~~3 \right)[/tex]

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