What is the value of arccos(sine (StartFraction pi Over 2 EndFraction))?

Answers

Answer 1

Answer:

0 radians or 2π radians

Step-by-step explanation:

arccos(sine (StartFraction pi Over 2 EndFraction)) is expressed as;

cos^(-1) (sin π/2)

Now, (sin π/2) in radians is same as (sin 180/2) = sin 90 in degrees.

Thus;

(sin π/2) = 1

Thus;

cos^(-1) 1 = 0

It could also be 360° in the fourth quadrant since cosine is positive there too.

Thus,

cos^(-1) (sin π/2) = 0° or 360°

In radians, this gives; 0 radians or 2π radians

Answer 2

0 radians or 2π radians  is the value of arccos(sine (StartFraction pi Over 2 EndFraction)).

Here, we have,

given that,

The term is: arccos (sine (StartFraction pi Over 2 EndFraction)

so, we get,

arccos(sine (StartFraction pi Over 2 EndFraction)) is expressed as;

cos^(-1) (sin π/2)

Now, (sin π/2) in radians is same as (sin 180/2) = sin 90 in degrees.

Thus;

(sin π/2) = 1

Thus;

cos^(-1) 1 = 0

It could also be 360° in the fourth quadrant since cosine is positive there too.

Thus,

cos^(-1) (sin π/2) = 0° or 360°

In radians, this gives; 0 radians or 2π radians.

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Related Questions

Write the equation of the line through the points (1, 3), (3, 3)

Answers

Answer:

y  = 3

Step-by-step explanation:

P ( 1 , 3)    and  Q ( 3 , 3 )

The straight line is parallel to the x-axis since the two points have the same y.

The intercept with the y-axis is 3.

The slope-point equation for a line is:

y  = m*x + b             (1)

m is the slope and  b is the intercept with the y-axis

To calculate the slope

m =  (  y₂ -  y₁ ) /  ( x₂  -  x₁ )

m =  3 - 3 / 3 - 1          m   = 0 / 2      m  = 0

therefore, equatio (1) becomes

y  =  0*x + 3

y  = 3

• A trapezoid is one or two ____
and a _____
combined!
Use the formula ______
where:
. b1 is the ____
. b2 is the ____
and
• h is the ___
of the trapezoid.

Answers

A trapezoid is one or two shapes and a rectangle

please help with my math

Answers

Answer:

f + g = [tex]\frac{x-1}{x+ 3}+\frac{x-3}{x+1}=\frac{x^{2}-1 }{(x+3)(x+1)}+\frac{x^{2}-9 }{(x+1)(x+3)}=\frac{2x^{2}-10 }{(x+1)(x+3)}[/tex]

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

72 degrees I believe. They should add up to 180 so 1 is 108 and 2 is 72

Identify the missing number.
X^4 • X^? = X^5

Answers

Answer:

? = 1

Step-by-step explanation:

The welding rate of a third robots is represented by the equation t=10.8w, where t represents the time in minutes ans w represents the number of welding tasks. How does it compare the other two?

how can linear equations help you compare linear functions?

Answers

Answer:  i will answer this question

Step-by-step explanation:

Look at the photo pick A B C D either one explanation not needed thank you! <3

Answers

Answer:

A?

Step-by-step explanation:

Helpp!
Find (8x + 9) + (-6x - 2). Show your work.

Answers

Answer:

2+11

Step-by-step explanation:

Distribute

(8+9−1(6−2)

(8+9)−6+22

Eliminate redundant parentheses

(8+9)−6+2

8+9−6+23

Add the numbers

8+9-6+2

8+11−64

Combine like terms

8+11−6

2+11

x=-7/2 is the value of the expression (8x + 9) + (-6x - 2).

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is (8x + 9) + (-6x - 2).

Eight times of x plus nine plus minus six times of x minus two.

x is the variable in the expression , plus and minus are the operators.

(8x + 9) + (-6x - 2).

8x+9-6x-2

Add the like terms

2x+7

2x=-7

Divide both sides by 2

x=-7/2

Hence, x=-7/2 is the value of the expression (8x + 9) + (-6x - 2).

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Triangle QRS is reflected over y = 2. What are the coordinates of Q'?

Answers

Answer:

(1,6)

Step-by-step explanation:

In order to reflect a point over a horizontal line, you need to count how many units it takes to reach that line (going vertically). Once you have that number, count that many units starting from that point on the line (again, going vertically), then that is your reflected point.

Counting from point Q to the line y = 2, it takes 4 units. So starting from that point on the line where I left off, I would count another 4 units, taking me to (1,6). The picture below explains it better visually.

plz help i will mark brainlist

Answers

Answer:

c

Step-by-step explanation:

What is the first step to solving the following equation? 6x – 9 = 48

Answers

Step-by-step explanation:

6x=48+9 is the first step

A recursive function is shown below:
f(1) = 5 and f(n) = f(n - 1) - 6; n > 1

Which of the following lists the terms in the sequence defined by this recursive function

A: 5, 11, 17, 23, 29, ...

B: 5, -11, -17, -23, -29, ...

C: 5, -1, -7, -13, -19, ...

D: 5, 1, 7, 13, 19, ...

Answers

9514 1404 393

Answer:

  C:  5, -1, -7, -13, -19, ...

Step-by-step explanation:

You need look no further than the second term. That term will be ...

  f(2) = f(1) -6

  f(2) = 5 -6 = -1 . . . . matches sequence C

The area of a square is 100cm what is the perimeter?

Answers

Answer:

your perimeter will be 40cm

The 4 sides of a square are the same length. Find the length of a side by taking the square root of the area.

Side = sqrt(100) = 10 cm

Perimeter = side length x 4

Perimeter = 10 x 4 = 40 cm

Describe and correct the error a student made in writing the system of inequalities represented by the graph show below.

Answers

Answer:

that student made a error on his graph because the equation y<0.5x+1 doesn't show.

Step-by-step explanation:

The radii of two right circular cylinders are in the ratio 3 : 4 and their heights are in the ratio 1 : 2. Calculate the ratio of their curved surface areas

Answers

Answer:

18.852:50.272

Step-by-step explanation:

Step one:

given

The radii of two right circular cylinders are in the ratio 3 : 4

r1= 3

r2= 4

Their heights are in the ratio 1 : 2

h1= 1

h2= 2

Step two:

The expression for the curve surface area is

CSA= 2πrh

CAS1=  2πr1h1

CAS1=  2*3.142*3*1

CAS1=  18.852

CAS2=  2πr2h2

CAS2=  2*3.142*4*2

CAS1=  50.272

The ratio of their curved surface areas

=18.852:50.272

Write the integer that represents the situation. Max spent ​$44 and now has no money left. He had​ ___ before his purchase.

Answers

Answer:

The answer is Before Max had $53

Step-by-step explanation:

assume i gave you one piece of candy and now i have none left. how many did i have before i gave you that one piece?

Maggie is converting 10,560 feet to miles by using StartFraction 10,560 feet Over 1 EndFraction times StartFraction 1 mile Over 5,280 feet EndFraction. What should be Maggie’s answer?

Answers

Maggie's answer is going to be approximately 2 miles.

Answer:

Maggie's answer is going to be approximately 2 miles.

Step-by-step explanation:

It takes meagen 56 minutes to cook a golden turkey that weighs 12 pounds. Her compieter, chef Geraidine takes 1 hour and 16 minutes to cook a golden turkey that weighs 304 ounces. What is the differnece in pounds cooking the golden turkey er minute between chef meagen and chef chef geraidine?

Answers

Answer:

0.033 pounds/min

Step-by-step explanation:

For Meagen:

Time taken to cook golden turkey = 56 minutes

Weight of golden turkey = 12 pounds

For her competitor:

Time taken to cook golden turkey = 1 hour 16 minutes = 77 minutes

Weight of golden turkey = 304 ounces

16 ounces = 1 pound

Therefore, 304 ounces = [tex]\frac{304}{16}[/tex] = 19 pounds

Now, let us find the number of pounds cooked per minute by each chef.

Pounds cooked per minute by Meagen = [tex]\frac{12}{56} = 0.214\ pounds/min[/tex]

Pounds cooked per minute by the competitor = [tex]\frac{19}{77} = 0.247\ pounds/min[/tex]

Difference = 0.247 - 0.214 = 0.033 pounds/min

Which graph represents the solution to the system of inequalities below?
5x - 4y > 4
x + y < 2

Answers

Answer:

The correct option is;

B

Step-by-step explanation:

The given system of inequalities are;

5·x - 4·y > 4...(1)

x + y < 2...(2)

Representing both inequalities as a function of "y", gives;

For, 5·x - 4·y > 4...(1), we have;

-4·y > 4 - 5·x

y < 4/(-4) - 5·x/(-4)

∴ y < 5·x/4 - 1

For x + y < 2...(2), we have;

y < 2 - x

Therefore, y is less than the values given by the equation of the straight line equalities, and the feasible region is given by the common region under both dashed lines representing both inequalities as shown in the attached diagram created using Microsoft Excel

The correct option is therefore, B.

what is 6*56577467577467475

Answers

Answer:

3.39E17

Step-by-step explanation:

Answer:

3.3946481e17

Step-by-step explanation:

CAL - CU - LAT - OR = CALCULATOR

I need help with this asap! Please show how you got the awnser! I WILL MARK BRAINLIEST!!!

Answers

Answer:

x=15

angle =34

Step-by-step explanation:

find the missing angle

180-146=34

angle=34

so

all angles added together

(5y+3)+(4y+8)+34=180

9y+11+34=180

9y+45=180

9y=135

y=15

A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. Water is flowing into the tank at a rate of 15 cubic feet per minute. Find the rate of change of the depth of the water when the water is 4 feet deep.​

Answers

Answer:

Step-by-step explanation:

0

On average, Carmen can drive 28 miles on every gallon of gasoline. If she fils up her tank for $225 per gallon, how much
will it cost her to drive 336 mies?

Answers

It will cost $2700 dollars to drive 336 miles. Hope this helps

help please....... ​

Answers

Answer:

According to my calculations, the correct answer is 1/16. Let me know if it comes as correct on your side. Thanks!

Step-by-step explanation:

11.
Three lemon cookies plus two fudge cookies have 400 calories. Two lemon cookies plus three
fudge cookies have 425 calories. How many calories are in each kind of cookie?

Answers

Answer:

F=95

L=70

Step-by-step explanation:

3L+2F=400

2L+3F=425

Plug in and substitute

F=95

L=70

(Can I get brainliest please)

Answer:

lemon cookies = 70 calories

fudge cookies = 95 calories

Step-by-step explanation:

Lemon cookies = "x"

Fudge cookies = "y"

As per what is given;

3x + 2y = 400

2x + 3y = 425

Multiply the first equation by (-3), and the second by (2)

-9x - 6y = -1200

4x + 6y = 850

________________

-5x = - 350

Inverse operations;

-5x = -350

/-5      /-5

x = 70

Subsitute back in;

3x + 2y = 400

3(70) + 2y = 400

Simplify, inverse operations;

210 + 2y = 400

-210           -210

2y = 190

y = 95

X-5/-2=x-1/-3 it’s algebra 1

Answers

Answer:

x= 13

Step-by-step explanation:

Class- 4th question in India

Mark as Brainliest.

Because I am Indian and solving your question from India.

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works. If the number of pizzas varies directly with minutes, how many pizzas can Allan make in 3 hours? Please Help

Answers

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

Please answer i need help!!!!! WILL GIVE BRAINLIEST!!!!!

Answers

1. D. 4 x 4 x 4 x 4 x 4

2. B. 6³ (6 x 6 x 6 = 216)

3. D. (8², 100^1, 11², 5³)

4. D. Sum (There's No addition anywhere in that equation)

5. C. h (Because there's no number before the h²)

6. C. 24

7. C. Raise 9 to the 2nd power (Follow PEMDAS, after doing the parentheses, you need to do the exponents, and C. you need to the exponents)

8. A. 4xy

9. C. 18 (I followed PEMDAS, and received the answer 18)

10. B. 49

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

I hope this helps, and Happy Holidays! :)

Mika read a 405-page book in 6 hours. How many pages per minute did
she read?

Answers

Answer:

Mika read about 67 pages per hour.

Step-by-step explanation:

405 pages divided by 6 hours equals 67.5 pages. You can't have 67.5 pages (unless you read half a page) so you round down.

The regular price of a t shirt is $18 what is the discount price???

Answers

Answer: $14.40

Step-by-step explanation:

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