which of the following are solutions to the equation 2cos2x-1=0

Which Of The Following Are Solutions To The Equation 2cos2x-1=0

Answers

Answer 1

Answer:

x = π/4 and 5π/4

Step-by-step explanation:

Given the expression;

2cos²x - 1 = 0

2cos²x = 0+1

2cos²x = 1

cos²x = 1/2

cos x = ±√1/2

cos x = ±0.7071

x = arccos(±0.7071)

x = ±45 degrees

Convert to radians

Sence 180° = π rad

45°  = x

x = 45π/180

x = π/4

If x = -45°

Since cos is negative in the 3rd quadrant

x = 180 + 45

x = 225°

x = 225π/180

x = 45π/36

x = 5π/4


Related Questions

what is 9.7 as a fraction ?

Answers

Answer:

Step-by-step explanation:

9.7 = [tex]\frac{97}{10}[/tex]

Count the number of places in the decimal number after the decimal point.

Here , there is only one place.

So, multiply and divide by 10. 9.7 *10/1*10 = 97/10

Help please guys if you don’t mind

Answers

Answer:

slope = -2

equation y= -2x -1

y - intercept (0,-1)

Answer:

y-int: -1

Slope: -2/1

Equation: Y=-2/1x-1

Step-by-step explanation:

A pair of linear equations is shown
y=-3x5
y=x+2
Which of the following statements best explains the steps to solve the pair of equations graphically?
on a graph, find the point of intersection stwo lines; the first line has y-intercept - 5 and slope - -3, and the second line has y-intercept = 2 and slope - 1.
On a graph, find the point of intersection of two lines, the first line has y-intercept -3 and slope - 5, and the second line has y-intercept - 1 and slope - 2.
On a graph, find the point of intersection of two lines, the first line has y-intercept -- and slope - 3, and the second line has y-intercept = -2 and slope --1
On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope -5, and the second line has y-intercept -1 and slope --2.

Answers

Answer:

y=-3×5

so'n

y=-15ans

another has no number only one number 2 alphabets

Find the exterior angle.
50°
70°
60
X = [?]

Answers

The angle is 100 hundred and 10 degrees :)

Answer:

110

Step-by-step explanation:

180-70=110

the full line is 180 so subtract the angle, 70.

PLEASE HELP ASAP! Worth 15 points!!

Which graph represents a function with direct variation?

Answers

3rd graph is the correct graph

Answer:

The bottom right photo

Step-by-step explanation:

A direct variation is an equation in the form y = kx, where k is the constant of variation. Since it is in this form, the equation will pass through the origin (0, 0)

I need help,plss:(
Describe the graph of the function.

[tex]y = \sqrt{ x - 1 + 4} [/tex]
a). the graph is the radical function y=sqrt(x) shifted right 1 units and down 4 units.
b). the graph is the radical function y=sqrt(×) shifted left 4 units and up 1 units.
c). the graph is the radical function y=sqrt(x) shifted right 1 units and up 4 units.
d). the graph is the radical function y=sqrt(×) shifted left 1 units and up 4 units.​

Answers

Answer:

C

Step-by-step explanation:

[tex]y=\sqrt{x-1} +4[/tex]

graph is shifted right 1 unit and 4 units up.

A bus leaves Riverside for Springfield and averages only 48 mph. Ten minutes later Smith leaves Riverside for Springfield traveling 64 mph in his car. How long before he overtakes the bus?

Answers

Answer:

pls give brainliest even if u dont want to. it will make u better person. when u give brainliest it makes u 3 times smarter

Step-by-step explanation:

Smith overtakes the bus at (2/3)×60=40 minutes

What is speed?

A body is said to have speed v if he travels v distance in unit time.

How to solve it?

Suppose that Smith overtakes the bus at a time 't'. Then the distance traveled by bus is 48×t m and that by Smith is 64×(t-1/6).

Smith needs t-1/6 hours to reach the same position that the bus is in.

Since Smith leaves ten minutes later hence it takes t-1/6 hours for him to overtake the bus.

Because 10 minutes is equal to 10/60=1/6 hour.

So,

48×t=64×(t-1/6)

⇒t=2/3

Hence, Smith overtakes the bus at (2/3)×60=40 minutes

Learn more about speed and distance here-

brainly.com/question/12759408

#SPJ2

When solving algebraic expressions involving fractions with different denominators, you just have to determine the LCM and multiply it across each term

Answers

Answer:

b

Step-by-step explanation:

Cindy is hosting a potluck dinner for her book club. The more book club members who attend, the more chairs she will need. m = the number of members who attend the potluck c = the number of chairs Cindy will need Which of the variables is independent and which is dependent? A. c is the independent variable and m is the dependent variable B. m is the independent variable and c is the dependent variable​

Answers

Answer:

B.

Step-by-step explanation:

m is the driving number in this system of numbers. whatever its value, all the others need to adjust to it.

c depends fully on m. if and when m increases, then also c has to increase.

Write an
equation of a line in slope-intercept form that passes through (5, 2) with a slope of -2.

Answers

Answer:

y=-2x+12

Step-by-step explanation:

This is an equation in slope-intercept form:

y=mx+b (where m is the slope and b is the y-intercept)

We are given the slope, -2.

y=-2x+b

We plug in the values (5,2):

2=(-2)*5+b

2=-10+b

b=12

The equation is:

y=-2x+12

Someone please help me on this and please tell me the answer directly please !!

Answers

Answer:

I find this question

and I suppose your first question is should be 12 ( I'm not sure)

Answer:

The first one is: 12

The second one is: Subtract 1.1j from both sides.

The third one is: i'm not sure about that one

The fourth one is: 1/2

Step-by-step explanation:

If
R = (5+T)P/3
then what is p?

Answers

Answer:

Step-by-step explanation:

R = (5+T)P/3

3R = (5+T)P

3R/ (5+T) = P

[tex]P = \frac{3R}{(5+T) }[/tex]

help it’s very urgent please !!!!

Answers

The answer is seven (7)

Explanation:

There are eight red flowers
There are ten white flowers
There are five yellow flowers

Add those together.

8+10+5 = 23

Subtract from the total number of flowers which is thirty.

30 - 23 = 7

Answer:

There are 7 blue flowers.

Step-by-step explanation:

Total flowers: 30

Use the chart to find the red, white, and yellow flowers.

Red: 8

White: 10

Yellow: 5

Find the sum of the these three colored flowers:

8 + 10 + 5

23

Find the difference between the total flowers and the sum of the three colored flowers:

30 - 23

7

7 blue flowers

Joel Trump is paid one and one-half times the regular hourly rate for all hours worked in excess of 40 hours per week and double time for work on Sunday. Trump's regular rate is $8 per hour. During the week ended October 10, he worked 9 hours each day from Monday through Friday, 6 hours on Saturday, and 4 hours on Sunday. Trump's total earnings for the week ended October 10 are a.$320. b.$430. c.$516. d.$110.

Answers

Answer:

C. $516

Step-by-step explanation:

His regular rate is $8 per hour.

Since it's 40 hours a week, it means from Monday to Friday his regular work time is 8 hours per day.

Thus, for the regular week work, he is to be paid;

40 × 8 = $320

Now, we are told he worked 9 hours each day from Monday through Friday.

This means that;

He worked 1 hour each day.

That is 5 hours extra from Monday to Friday.

He is paid one and one-half times the regular hourly rate.

Thus, for this 5 extra hours, he will be paid 1½ × 5 × 8 = $60

He works 6 hours on Saturday, and 4 hours on Sunday.

Thus;

For Saturday, he is also paid one and one-half of regular pay. Thus, he is due for;

1½ × 8 × 6 = $72

He is paid double the regular hourly pay for Sundays.

Thus, for 4 hours on Sunday, he is paid;

2 × 8 × 4 = $64

Total he is due = $320 + $60 + $72 + $64 = $516

Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me ans this question,its urgent!!
I'll mark u as the brainliest!​

Answers

ok this is answer any questions

solve |6x+3| = 27 .....

Answers

Answer:

Step-by-step explanation:

The absolute value of a number is defined as the positive of either a positive or a negative number. By that I mean that

| 1 | = 1 and | -1 | = 1.  Right?

We use that idea here. Either:

6x + 3 = 27     OR      6x + 3 = -27 and solve both equations.

6x = 24 so x = 4 OR

6x = -30 so x = -5

Choice D is the one you want.

If PN=14, NO=20, PO=16, QR=55, and SR=44, find the perimeter of ΔQRS. Round your answer to the nearest tenth if necessary

Answers

Answer:

The perimeter of QRS is 137.5

Step-by-step explanation:

From the given interval angles, we can see that the two triangles are congruent

so it is expected that the ratios of their corresponding sides are equal

this is because; 83 + 53 + 44 = 180

Now, let us work with the side facing the angle marked 53 in both triangles

For the smaller, we have the measure as 16

for the bigger, we have the measure as 44

So the scale factor here is 44/16 = 11/4 = 2.75

We have to multiply the measure of the sides of the smaller triangle by 2.75 to get that of the bigger triangle

in similar vein, we have to multiply the perimeter we have in the smaller triangle by 2.75 to get that of the bigger triangle

The perimeter of the smaller would be the sum of the side lengths

we have this as;

14 + 20 + 16 = 50

So the perimeter of the bigger triangle would be;

2.75 * 50 = 137.5

WHAT IS A REFLECTION, TRANSLATION, AND ROTATION WHEN WE ARE TALKING ABOUT TRANSFORMATIONS?

Answers

a reflection is when an object is flipped across the x or y axis, a rotation is when a object rotates, and translation is when an object moves//slides.

Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. Which table represents this proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 3, 12, 16. Column 2 is labeled Raisins (y) with entries 2, 8, 12.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 2, 3, 6. Column 2 is labeled Raisins (y) with entries 8, 12, 24.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 3, 8, 12. Column 2 is labeled Raisins (y) with entries 2, 16, 24.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 2, 8, 12. Column 2 is labeled Raisins (y) with entries 3, 12, 18.

Answers

Answer:

Table 4 is the answer. Step-by-step explanation: Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. So, the ratio of peanuts to raisins is 2 : 3.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

GOT IT RIGHT edge 2021

A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:

Answers

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

Given the following geometric sequence, Find the common ratio (3, 18,108)

Answers

Answer:

6

Step-by-step explanation:

3*6=18

18*6=108

Does the point (1, 3) satisfy the equation y = 5x? yes no​

Answers

Answer:

Nope

Step-by-step explanation:

we can graph y = 5x as y = 5 units up and one unit to the right

but for right now let me be specific on what i mean

Specifically:

y = 5x is a Slope-Intercept equation, the original Slope-Intercept equation would be y = mx + b but in this case, we don't have b so we're focusing now on y = 5x, but what are we suppose to do with 5x??? well 5x represents the slope of the line so to graph a slope, use rise over run = rise/run. so only 5 is being used so 5 = rise/run = 5/1.

------------------------------------------------------------------------------------

Answer: (1, 3) doesn't satisfy the equation

Answer:

No, it does not satisfy the equation

Step-by-step explanation:

Hi there!

We are given the equation y=5x and we want to know if the point (1,3) will satisfy the equation

If we substitute the values of a point into the equation, and the result is a true statement (ex. 2=2), then the point satisfies the equation

If we substitute the values of a point into the equation and the result is a false statement (ex. 0=7), then the point doesn't satisfy the equation

The reason for this is because when we plug the value of a point into an equation, we're seeing if the equation will pass through that given point.

So let's substitute 1 as x and 3 as y into y=5x

3=5(1)

multiply

3=5

The result is a false statement; therefore, the point doesn't satisfy y=5x

Hope this helps!

What is -2y + -4y. Simplify the answer.

Answers

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

Answer:

[tex]-2y+\left(-4\right)y[/tex][tex]=-2y-4y[/tex][tex]=-6y[/tex]

[tex]-----------[/tex]

hope it helps...

have a great day!!

CAN SOMEONE PLEASE HELP ME!!!

Answers

dammn im not sure sorry

Answer:

Step-by-step explanation:

D OR F means add the two grade members together. You get 5

5 / 35 = 1/7

P(1/7) = 0.1428 Rounded to the nearest 1/100th = 0.14

If each of the n production workers in a factory assembles one instrument every t minutes, how many instruments does the factory assemble in 7.5 hours of production

Answers

Answer:

The number of instruments assembled in 7.5 hours are 450 n/t.

Step-by-step explanation:

The number of instruments assembled in t minutes = n

the number of instruments assembled in 1 minute = n / t

Total time = 7.5 hours = 7.5 x 60 = 450 minutes

So, the number of instruments assembled in 450 minutes are

[tex]\frac{n}{t}\times 450\\\\\frac{450 n}{t}[/tex]  

To make some draperies, an interior decorator needs 12 1/4 yards of material for the den and 8 1/2 yards for the living room. If the material comes only in 21-yard bolts, how much will be left over after completing both sets of draperies?

Answers

Answer:

1/4 of a yard of material

Step-by-step explanation:

First, we must convert both 12 1/4 yards and 8 1/2 yards to quarters. Since 1/2 of a yard is equal to 2/4 of a yard, 8 1/2 yards will be equal to 8 2/4 yards. 8 yards + 12 yards = 20 yards, and 2/4 of a yard + 1/4 of a yard = 3/4 of a yard, so you get 20 3/4 of a yard to finish the draperies. To find the leftover material, do 21 yards - 20 3/4 yards = 1/4 of a yard of material. Hope this helps!

In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is [tex]t = 2(\frac{2h}{32} )\frac{1}2[/tex] , where t is the time in seconds, and h is the height of the jump, in feet.

Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?

Answers

Answer:

8 inches

Step-by-step explanation:

Given:

t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).

Step 1: First Player

0.9 = 2 * sqrt( 2h/32 )   / ^2 ( we will square both sides of equation )

0.81 = 4* 2h/32

0.81 = h/4

h 1 = 0.81 * 4 = 3.24 ft

Step 2: Second Player

0.8 = 2 * sqrt( 2h/32 ) /^2

0.64 = 4 * 2 h/32

h 2 = 0.64 * 4 = 2.56 ft

Step 3: Simplify

h 2 - h 1 = 3.24 - 2.56 = 0.68 ft

and since 12 in = 1 ft:

0.68 * 12 = 8.16 in ≈ 8 in.

Create 5 examples of gains and losses using positive and negative numbers. Explain your examples.

Answers

Answer:

Look below...

Step-by-step explanation:

Losing 7 cards in a deck: -7. Losing means negative.

Saving $102 in your wallet: 102. You are saving, that means you gain.

336 feet below sea level: -336. Below indicates less than 0,  which is negative.

Depositing $43 into your bank account: 43. Depositing means putting. If you put $43 in YOUR bank account, the bank account gains money. So you gain money. Making it positive.

1,000 feet above sea level: 1,000. Above indicates more than zero. Anything more than zero on a number line is positive.

Hope this helps :)

Which transformations are needed to change the parent sine function to the sine function below? On a coordinate plane, a curve crosses the y-axis at y = 1.5. It has a minimum at y = 0.5 and a maximum at y = 1.5. It goes through one cycle at 4 pi. Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up, phase shift of Pi units left vertical stretch of 2, horizontal compression to a period of 4 pi, vertical shift of 2 units up, phase shift of Pi units left vertical stretch of One-half, horizontal compression to a period of 2 pi, vertical shift of 1 unit up, phase shift of Pi units left vertical compression of One-half, horizontal stretch to a period of 2 pi, vertical shift of 1 unit down, phase shift of Pi units left

Answers

Answer:

Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up and a phase shift of pi units left

Step-by-step explanation:

The parameters of the sine function are;

The point the curve crosses the y-axis (at x = 0) = 1.5

The minimum of the curve is y = 0.5

The maximum is y = 1.5

The time it goes through one cycle = 4 pi

The general form of the sine function is presented as follows;

y = A·sin(B·(x - C)) + D

From the given information, we have;

A = 0.5

The period = 4·π = 2·π/B

∴ B = 1/2

At x = 0, y = max, therefore, B·(x - C) = (1/2)·(0 - C) = π/2

∴ C = -π

D = 1

Therefore, the given sine function can be presented as follows;

y = 0.5·sin((1/2)·(x - π)) + 1

Therefore, the transformation needed to change the parent sine function to the given sine function are

Vertical compression of One-half, horizontal stretch to a period of 4 pi, vertical shift of 1 unit up and a phase shift of pi units left

Answer:

The answer is A

Step-by-step explanation:

On an English test, John scored 50 points on the essay portion. The test also had short-answer questions worth 2.5 points each. Choose an expression for John’s total points if he answered r short-answer questions correctly.

Answers

Answer:

2.5x+50

Step-by-step explanation:

50 + 2.5r

r = numbers of right answers
Points the essay worth = 50
2.5 = points each right short answer
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