Solve: sin(11pi/2 +x) =-1/2 for [pi, 2pi]

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the expression  sin(11pi/2 +x) =-1/2

Take the arcsin of both sides

sin⁻¹[sin(11pi/2 +x)] =sin⁻¹(-1/2)

11pi/2 + x = -30

x = -pi/6 - 11pi/2

Find the LCM

x = (-pi-33pi)/6

x = -34pi/6

x = -17pi/3

Since x is negative and sin is negative in the fourth quadrant

x =  - 17pi/2

x = -1530⁰+1440⁰ (scaling down the angle)

x = -90

x = 360 - 90 (fourth quadrant)

x = 270⁰

x = 270pi/180

x = 27pi/18

x = 3pi/2

Hence x the solution of x is 3pi/2

Answer 2

Answer:

B, 5pi/3

Step-by-step explanation:

edge 2020


Related Questions

A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calculated the sale price.

Answers

Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

Sale price = 80% x original price

They told us the original price = 350 AED

This means:

Sale price = 80% x 350

I think it would be easiest to change 80% into a fraction if you don't have a calculator :)

80% = [tex]\frac{80}{100} = \frac{4}{5}[/tex]

This means that the

Sale Price= [tex]\frac{4}{5}[/tex] x 350 = 280 AED

350 (original sale price)
20% (sale)
350 x 20% = 70 (saving)
350 - 70 = 280 (spending) (new sale price)

Answer is 280 AED

what is the highest number of degrees an angle can have A 360 B 180 C 90 D 270

Answers

Answer:

360

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

An angle can range from 0 to 360 degrees.

The amount $1.26 is 6% of what price? (1 point)
оа
ob
Ос
Od
$20.16
$21.00
$67.56
$75.60

Answers

Answer:

$21.00

Step-by-step explanation:

we can solve easly like this

if 6%=1.26

100%=?

100%*1.26/6%=126%/6%

=$21

therefore $21's 6%is $1.26.

i think the answer is clear i hope it helps you

The gross income, in dollars, that a company makes from selling x items can be modeled by the expression 3x2 + 2x +4. It costs the company 2-3x + x2 dollars to make x items. Which expression represents the company’s profit if it makes and sells x items

Answers

The answer is 2-4 because it all comes togwthe

sarah has 20 apples, but then sandy took 1/2 of it. How much did she took?

Answers

Answer:

10

Step-by-step explanation:

divide 20 by 2. so the answer is 10.

the answer is 10 i believe

Han is solving an equation. He took steps that are acceptable but ended up with equations that are clearly not true.



5x+6=7x+5-2x5x+6=7x+5−2x original equation

5x+6=7x-2x+55x+6=7x−2x+5 apply the commutative property

5x+6=5x+55x+6=5x+5 combine like terms

6=56=5 subtract 5x from each side



What can Han conclude as a result of these acceptable steps?

Answers

Answer:

no solution

Step-by-step explanation:

5x+6=7x+5-2x original equation

5x+6=7x-2x+5 apply the commutative property

5x+6=5x+5 combine like terms

6=5subtract 5x from each side

Since this is never true, there is no solution

Answer:

There's no value of x that can make the equation 5x+6=7x+5-2x true.

Step-by-step explanation:

Will give brainiest!!!

2. Solve for x. SHOW YOUR WORK.
(7x - 25)°
(4x + 2)°

Answers

▪ Answer:

x = 9

▪ Step-by-step explanation:

Hi there !

opposite angles

4x + 2 = 7x - 25

2 + 25 = 7x - 4x

27 = 3x

x = 27 ÷ 3

x = 9

Good luck !

Answer:

x = 9

Step-by-step explanation:

opposite angles

4x + 2 = 7x - 25

2 + 25 = 7x - 4x

27 = 3x

x = 27 ÷ 3

x = 9

FOR BRAINLIEST!!!!!!

Just do 15. And 17.

Answers

Answer:

15= A=11138

17= A≈57.43

Step-by-step explanation:

15) A=2(wl+hl+hw)

17) A=2πrh+2πr^2

Solve the equation.
-5=x+3
Ox=3
Ox=-3
Ox=8
Ox=-8

Answers

Answer:
x= -8

Explain:
You first have to make the variable by itself so you subtract 3 on both sides. The x is by itself and you finish by subtracting -5 to 3 and you get the answer x = -8

Hope this helps

There are 2 friends chasing one another. They are 80
feet apart. Caroline is chasing after Sam. Sam runs at
a speed of 22 feet per second and Caroline runs at a
speed of 31 feet per second. How many seconds will it
take for Caroline to catch Sam?

Answers

Answer:

8.9 seconds

Step-by-step explanation:

When caroline catches sam after some time lets say t

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.

Given

Let the time taken by Caroline to catch sam is t seconds

distance covered by Caroline in t seconds = speed of caroline*t

distance covered by Caroline in t seconds = 31  * t

distance covered by Caroline in t seconds = 31t feet

distance covered by sam in t seconds = speed of sam*t

distance covered by sam in t seconds = 22  * t

distance covered by sam in t seconds = 22t feet

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds

thus,

distance covered by Caroline in t seconds  = distance covered by sam in t seconds  + 80 feet

31t = 22t + 80

subtracting 22t from both sides

=> 31t - 22 t = 80

=> 9t = 80

=>t = 80/9 = 8.9 seconds

Thus,

it will take 8.9 seconds for Caroline to catch Sam

f(x) = 2x^2 Find f(-3)

Answers

F(-3)=2(-3)^2=18, 18 is the answer

if syn spends 15 minutes running, he burns 200 calories. how long would it take Syn to burn 150 calories?

Answers

Answer:

11.25min

Step-by-step explanation:

In this problem, we first need to find the rate at which syn burns calories per minute

so in 15mins, he burns 200 calories

    in 1 mins he will burn x

x= 200/15

x=13.33 calories per min this is the rate

So in one minute he will burn 13.33 calories

Now using the idea of rate=quantity/time

the rate=13.33

quantity=15 calories

time=?

time=quantity/rate

time=150/13.33

time=11.25min

   Alternatively

(very fast approach)

         if syn spend 15min to burn 200 cal

then he will spend x min to burn 150 cal

cross multiply

x=(150*15)/200

x=2250/200

x=11.25mins

Which one doesn't belong, and why?
1/2,5/3,2/10,2/5

Answers

Answer:

5/3

Step-by-step explanation:

5/3 doesn't belong because each denominator for the other numbers are all factors of 10 (I think thats how you say it)

Hope this helps

HALP?????????????????????????????????????plz

Answers

Answer:

Start menu- A)

Taskbar- E)

Quick Launch-D)

System tray- B)

Icons-C)

Step-by-step explanation:

Answer:

1. Icons-------->pictures that represent applications, files, or folders.

2. Quick Launch---------->list of items that can be opened by clicking on their names.

3. Start menu----------->shows  the programs that are always running.

4. System Tray---------->place where frequently used programms can be opened.

5. Taskbar--------->displays open application or files.

Step-by-step explanation:

I pretty much explained it in the answer. :)

What 1.5 feet above ground in fraction?

Answers

Answer:

1 1/2 or 3/2

Step-by-step explanation:

What are the three categories of municipality in nepal ​

Answers

The three categories of municipality in Nepal:
1.Metropolitan City(Mahanagarpalika)
2. Sub metropolitqn city(Upmahanagarpalika)
3. Municipality (Nagarpalika)

What’s 7/10 Equivalent to put it in fraction

Answers

Answer:

i think this is what u want

Step-by-step explanation:

please mark brainliest

Answer:

nvm im wrong its wat the other girl or boy said

A realtor and 6% Commission on every house she sells how much money would she earn if she sells the house for 350,000?​

Answers

Answer:

350000 * 0.06 = 21,000

Step-by-step explanation:

i think its 21,000 commission because 6% of 350000 is 21,000

what is the square root of 96 in simplest form

Answers

Answer:

Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.

Step-by-step explanation:

Envision mathematics common core volume 1 book page 195

Answers

Answer:

?

Step-by-step explanation:

What’s 3.9 divided by 22.23 :)

Answers

Answer:

0.1754

Step-by-step explanation:

Use a calculator

Answer:

5.70 hope that helped :)

What type of function is represented in the table?
Х
0
-7
1
-2
2
3
3
8
4
13
5
18
y
quadratic
exponential
O logarithmic
O linear

Answers

Answer:

Linear

Step-by-step explanation:

The y is increasing constantly by 5 each time. The equation that would represent this is y=5x-7 because when x is 0 y is -7, so that is your y intercept, and the m, or slope, of your graph is 5, because of the constantly increasing y.

The given  table is representing linear function. So Option B is correct.

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Given that,

A table

x   0    1    2    3    4    5  

y   -3   5   13  21   29  37

Lets us first check that data for linear relationship,

Consider a function,

y = mx + c

lets put value (0, -3)

-3  = m0 + c

c = -3

y = mx -3

Now putting second point

5 = mx1 -3

m = 8

y = 8x - 3

If third point satisfies the given condition

then it will be linear function

x = 2 & y = 13

y = 8x -3

13 = 8x2 - 3

13 = 13

hence proved

Thus, the given table represents the linear function.

To know more about Functions check:

https://brainly.com/question/5975436

#SPJ7

If ΔABC ≅ ΔEDF where the coordinates of A(−1, 1), B(2, 4), and C(3, 1), what is the measure of EF?

3
3.2
4
4.6

Answers

Answer:

c. 4

Step-by-step explanation:

I took it on the test and it was right. Hope this helps!

Find 3/5of 100 and find 4/7 of 12

Answers

Step-by-step explanation:

The answers are 60 and 6.86

true or false 4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters.

Answers

Answer:

yes the answer is true

Step-by-step explanation:

the length of the rectangle is given 2 m

the breadth of the rectangle is given 3 m

so the area of the rectangle = length * breadth

= 2m*3m

=6m^2

hence proved

hope you like the answer

marks brainliest

hurry up !

The area of the rectangle is [tex]6m^2.[/tex]

Given that,

The area of the rectangle is [tex]6m^2[/tex]The dimension should be 2 meters by 3 meters.

Now as we know that

The area of the rectangle is

[tex]= length \times breadth\\\\= 2 \times 3\\= 6m^2[/tex]

Therefore we can conclude that The area of the rectangle is [tex]6m^2.[/tex]

Learn more about the rectangle here: brainly.com/question/16167300

Write an equation of the line that passes through the point (6, 3) and is perpendicular to y=-1/3x+ 12.
y=3x+12
y=x+5
y=-1/3x+5
y=-1/3x+12

Answers

Answer:

A: [tex]y=3x+12[/tex]

Step-by-step explanation:

To start we need to know what makes lines perpendicular. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.

Then, we need to understand the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We also know that [tex]x[/tex] and [tex]y[/tex] represent points on the line.

Now, since our equation is already in the correct form, we can start with finding the opposite reciprocal of the slope. To do this, all we have to do is flip the fraction upside down and multiply by -1. This means that the opposite reciprocal of [tex]-\frac{1}{3}[/tex]  would be [tex]\frac{3}{1}[/tex] which can be written as [tex]3[/tex].

Now, since we have a list of options and only one has the correct slope, we can safely choose option A.

following
3x + 10 = 17

Answers

Answer:

x=7/3

Step-by-step explanation:

The answer is x = 7/3

Example 1:
Jose opens a savings account with principal P dollars that pays 5% interest, compounded
quarterly. What will his ending balance be after one year?

Answers

Answer:

Step-by-step explanation:

im not sure b right or wrong?

Answers

Answer:

Yes That is right. B is correct

Step-by-step explanation:

Answer:

37 is what percent of 76? = 48.68

Step-by-step explanation:

Convert fraction (ratio) 37 / 76

You would get...

0.48684210526

B is correct

p^2-4p=1
step by step explanation pleaseee

Answers

Answer:

[tex]p_1=2+ \sqrt{5}\\p_2=2- \sqrt{5}[/tex]

Step-by-step explanation:

A second-degree equation is often expressed as:

[tex]ax^2+bx+c=0[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The equation to solve is:

[tex]p^2-4p=1[/tex]

We need to express the equation as mentioned above. The right side of the equation must be zero, so we subtract 1:

[tex]p^2-4p-1=0[/tex]

Now we have the values to solve the equation:

a=1, b=-4, c=-1

Applying the formula:

[tex]\displaystyle p=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\displaystyle p=\frac{4\pm \sqrt{16+4}}{2}[/tex]

[tex]\displaystyle p=\frac{4\pm \sqrt{20}}{2}[/tex]

Since 20=4*5:

[tex]\displaystyle p=\frac{4\pm \sqrt{4*5}}{2}[/tex]

Taking the square root of 4:

[tex]\displaystyle p=\frac{4\pm 2\sqrt{5}}{2}[/tex]

Simplifying by 2:

[tex]p=2\pm \sqrt{5}[/tex]

Two solutions are found:

[tex]\boxed{p_1=2+ \sqrt{5}}\\\boxed{p_2=2- \sqrt{5}}[/tex]

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