giving brainliest !!

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

11/21    

b/t/w you con go on this website called  calculator soup and it has fraction calculators

and the website it self has nothing to download im pretty sure it doesnt

Answer:

where is the figure

Step-by-step explanation:????

Answer:

Each piece is 1.25m

Step-by-step explanation:

If you divide 12 1/2 by 10 you would get 1.25

Answer:

[tex] 1\frac{1} {4} \: m[/tex]

Step-by-step explanation:

Length of wire = 12½ m = 12.5 m

Number of pieces = 10

Length of each piece = 12.5/10= 1.25 m [tex] =1\frac{1} {4} \: m[/tex]

Answer:

525cmlong the length of seeds

Answer: 4

Step-by-step explanation:

Given

PA=6, PD=4, BE=5

We know, If PEB is a secant that intersects the circle at E and B and PA be a tangent at A, then

[tex]PA^2=PE\cdot PB[/tex]

Substitute the given values

[tex]\Rightarrow 6^2=(PE+BE)\cdot(PE)\\\Rightarrow 36=(PE+5)\cdot(PE)[/tex]

Take [tex]PE=x[/tex]

[tex]\Rightarrow 36=x^2+5x\\\Rightarrow x^2+5x-36=0\\\Rightarrow x^2+9x-5x-36=0\\\Rightarrow (x+9)(x-4)=0\\\Rightarrow x=-9,4[/tex]

Discard [tex]x=-9[/tex]

[tex]\therefore PE=4[/tex]

Answer:

Yes.

Step-by-step explanation:

If you were to make a little box in the corner it would mean its a right angle (or if the angle is 90 degrees)

Answer:

4123

Step-by-step explanation:

A=Pert,

where A is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), and t is the time (in years). We are given that P=2800, r=0.043, and t=9. Substituting the values into the formula and using a calculator to evaluate, we find

A=Pert=2800e(0.043)(9)≈4123.16

Answer:

30 ounces of cheese

Step-by-step explanation:

12 divided by 8 = 1.5 so 1.5 ounces of cheese per serving

20 x 1.5 = 30 so 30 ounces of cheese

Answer:

rectangular prism

Step-by-step explanation:

maybeeee

sorry if it wrong :l

Answer:

the original price of the book is $20

Step-by-step explanation:

sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.

Things that are useless:

Things that are helpful:

Ok, now that we know those, let's work on the question.

let b be the original book price

we need to find 10% so we have to use 90% (because 100 - 10 = 90)

if we needed to find 20% we would use 80% (because 100 - 20 = 80)

and so on.

  90% of b = 18    (90% of the og. book price equals 18)

90/100 × b = 18    (write a correct equation and make the percent a fraction)

    9/10 × b = 18    (simplify both sides of the equation)

         9 × b = 180  (multiply both sides of the equation to get rid of fraction)

               b = 20   (divide both sides of the equ. to get b by itself)

the original price of the book is $20

hope this helped :D

good luck my friend

- cheesetoasty

Answer:

4/7

Step-by-step explanation:

Slope of a line is expressed as;

Slope = y2-y1/x2-x1

Given the coordinate points (4, 2) and (-3,-2)

Slope = (-2-2)/-3-4

Slope = -4/-7

Slope = 4/7

Hence the slope between the two points is 4/7

Answer:

3250

Step-by-step explanation:

5x13x5x10=3250

Answer:

this is the answer

Step-by-step explanation:

hope it helped!!!

Answer:

C

Step-by-step explanation:

Answer:

36 is 12% of 300.

Step-by-step explanation:

Hopw this helped. Have an Amazing Day, Evening, or Night! : )

Answer:

It is a rate,

A rate is the ratio between two related quantities in different units.

Miles and hours are two different units and its 50 miles per 2 hours.

Answer:

Point W

Step-by-step explanation:

9514 1404 393

Answer:

  (a) 1.2b

  (b) 1.4h

  (c) A = 1.68bh

  (d) 68%

Step-by-step explanation:

(a) If 20% of b is added to b, you have ...

  b + 0.20b = 1.2b

__

(b) Similarly, if 40% of h is added to h, you have ...

  1.4h

__

(c) The area of the new rectangle is the product of the new dimensions:

  A = (1.2b)(1.4h)

  A = 1.68bh

__

(d) The original rectangle area is A = bh, so the percentage change can be computed as ...

  (A'/A -1)×100% = ((1.68bh)/(bh) -1)×100% = (1.68 -1)×100% = 68%

The given increases in base and height increase the area by 68%.

Step-by-step explanation:

angle a is interior angle

so 65+3x+2+7x+3=180

65+10x+5=180

70+10x=180

180-70=10x

110=10x

X= 11

so 3x+2= 33+2

= 35

Answer:

Substituting 4 for x:

ƒ(4) = 3(4 - 5)

ƒ(4) = -3

So, ƒ(4) = -3

Hopefully you understand now!

Answer:

Number 7 is; -1/7776

number nine is :| −8/ 3 | or 2.666667

Step-by-step explanation:

-1/6)^5=1^5/6^5

=-1/^5/6/5

1^5=1

=-1/6^5

6^5=7776

=-1/7776

|(− 1/ 3 )(110+9−2)|

=| −1/ 3 (110+9−2)|

=| −1/ 3 (1+9−2)|

=| −1/ 3 (10−2)|

=| −1 /3 (8)|

=| −8 /3 | =2.666667

Hope this helped!!!!

The answer for x is 5x

Answer

A.

Step-by-step explanation:

kasi yan lang halos sure ako pero kayo bahala kung trust nyo ako

Answer:

[tex]Domain: [0,17][/tex]

[tex]Range:[0,544][/tex]

Step-by-step explanation:

Given

[tex]d(x) = 32x[/tex]

Maximum gallon = 17

Required

Determine the domain and range --- This completes the question

If the maximum is 17 (i.e. at full capacity) then the minimum is 0 (i.e. when empty)

So, the domain is:

[tex]Domain: [0,17][/tex]

To calculate the range, substitute 0 and 17 for x in [tex]d(x) = 32x[/tex]

[tex]d(0) = 32 * 0 = 0[/tex]

[tex]d(17) = 32 * 17 = 544[/tex]

So, the range is:

[tex]Range:[0,544][/tex]

Answer:

72°

Step-by-step explanation:

To convert from degrees to radians, multiply the degrees by [tex]\frac{\pi }{180}[/tex].

To convert from radians to degrees, multiply the radians by [tex]\frac{180}{\pi }[/tex].

Right now you're in radians, so multiply it by [tex]\frac{180}{\pi }[/tex].

[tex]\frac{12\pi }{5}* \frac{180}{\pi }[/tex]=[tex]432[/tex]°.

Now we need to find the reference angle for 432°.

If you draw 432° starting from the right and going clockwise (because it is a positive angle, if it was negative you would go counterclockwise), it will make one full rotation, which is 360°, and you will end up in the 1st quadrant, 72° past 360°.

Depending on the quadrant you land in, there might be different operations to perform. Please check the attached image.

In this case, we're in the 1st quadrant so we can leave the angle as is.

The answer is 72°.

9514 1404 393

Answer:

  x = 50

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°.

  130° + x° + 30° + 100° + x° = 360°

  2x° = 100° . . . . . . . . . subtract 260° and collect terms

  x = 50 . . . . . . . . divide by 2°

_____

Additional comment

If you reduce each side length to nothing, then you find the angles are measured around a central point. It becomes more clear that their sum is 360°.

Answer:

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In the survey on 200 managers, 58% of the managers have caught salespeople cheating on an expense report.

This means that [tex]n = 200, \pi = 0.58[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 - 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.5116[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.58 + 1.96\sqrt{\frac{0.58*0.42}{200}} = 0.6484[/tex]

The 95% confidence interval estimate of the population proportion of managers who have caught salespeople cheating on an expense report is (0.5116, 0.6484).

Answer:

Year 2004

Step-by-step explanation:

Population of a country in year 1995 = 286

Model that expresses the growth rate of the population is,

P(t) = [tex]286(1.009)^{t-1995}[/tex]

Here, t = year

a). For P = 311 million people

   311 = [tex]286(1.009)^{t-1995}[/tex]

   [tex]\text{log}(\frac{311}{286})=\text{log}(1.009)^{t-1995}[/tex]

   log(311) - log(286) = (t - 1995)log(1.009)

   2.4928 - 2.4564 = (t - 1995)(0.00389)

   [tex]\frac{0.03639}{0.00389}=t-1995[/tex]

   t = 1995 + 9.4

   t = 2004

In year 2004 population of the country will be 311.