There is a circle with a center of 0,0 on a coordinate plane. There is one point on the circle's circumference in which the x:y ratio is 3:1. What is a possible coordinate?

Answers

Answer 1

Answer:

Step-by-step explanation:

Suppose the radius is 1. The parametric equations for the circle are

x = cosθ

y = sinθ

x:y = 3:1

tanθ = ⅓

cosθ = 3/√(1²+3²) =  3/√10

sinθ = 1/√10

The solutions are (3/√10, 1/√10) and (-3/√10, -1/√10).

There Is A Circle With A Center Of 0,0 On A Coordinate Plane. There Is One Point On The Circle's Circumference

Related Questions

Fill in this blank spaces (1,3,5,7,9 , 11, 13, 15) _+_+_=30​

Answers

Step-by-step explanation:

Just till the number 9 upside down to make it 6 then

6+11+13=30

The sum of three odd numbers can never be even. so I did it in that way.

I HOPE THIS WILL HELP U

STAY SAFE, STAY HAPPY

Consider the generic chemical equation:

2 A + 3 B ------> 3 C

If 6 moles of A and 2 moles of B are reacted, what is the maximum number of moles of C that can be formed?

Answers

For this problem, you can see that a ratio exists between A, B, and C. Now you'll just have to find the constant k that satisfies this ratio using the proportional relationship formula.

After that, you can plug in the constant k to find the missing C value.

A coffee pot holds 3 3/4 quarts of coffee. How much is this in cups.

Answers

Answer: 15 cups

Step-by-step explanation:

Given that f(x) = 2x + 9, find the value that makes f(x) = 27.

Answers

Answer:

9

Step-by-step explanation:

f(x) = 2x+9

f(x) = 27

so, you get:

2x+9=27

2x=18

x=9

A rocket is fired upward with an initial velocity v of 100 meters per second. The quadratic function S(t)=-5t^2+100t can be used to find the height s of the rocket, in meters, at any time t in seconds. Find the height of the rocket 7 seconds after it takes off. During the course of its flight, after how many seconds will the rocket be at a height of 450 meters?

Answers

The rocket will be at the height of 450metres at 13.16secs and 6.84secs

Given the expression modeled by the height S(t)=-5t^2+100t where

t is the time taken by the rocket to take off

s is the height traveled by rocket

In order to find the height of the rocket 7 seconds after it takes off, we will substitute t = 7 into the equation

S(7) = -5(7)²+100(7)

S(7) = -5(49)+700

S(7) = -245+700

S(7) = 455metres

Hence the height of the rocket 7 seconds after it takes off is 455metres

Given that S = 450m, we can also get the time taken by the rocket at this height.

Recall that S(t)= -5t²+100t

450 = -5t²+100t

Rearrange

-5t²+100t - 450 = 0

5t²-100t + 450 = 0

Divide through by 5

t²-20t + 90 = 0

On factorizing above equation;

t= 10+√10 or t=10−√10

t = 10+3.1623 or 10 - 3.1623

t = 13.16 and 6.84secs

Hence the rocket will be at the height of 450metres at 13.16secs and 6.84secs

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Ginny and her classmates formed a study group. The number of girls in the study group was 3 more than twice the number
of boys. There were 11 girls in the study group. How many boys were in the study group?

Answers

It’s 4 boys.

11-3=8 8\2=4

Answer:

I think the answer is 4 boys

Step-by-step explanation:

Let the no of boys be y.

No. of girls = 11

= 3 + 2y (equation)

3 + 2y = 11

3 - 3 + 2y = 11 - 3

2y = 8

2y/2 = 8/2

y = 4

Boys = 4

Find the value of x.

A. 6
B. 3
C. 5
D. 2

Answers

[tex]\\ \sf\longmapsto \dfrac{AK}{DK}=\dfrac{CK}{BK}[/tex]

[tex]\\ \sf\longmapsto \dfrac{14}{12}=\dfrac{4x+1}{3x+3}[/tex]

[tex]\\ \sf\longmapsto \dfrac{7}{6}=\dfrac{4x+1}{3x+3}[/tex]

[tex]\\ \sf\longmapsto 7(3x+3)=6(4x+1)[/tex]

[tex]\\ \sf\longmapsto 21x+21=24x+6[/tex]

[tex]\\ \sf\longmapsto 24x-21x=21-6[/tex]

[tex]\\ \sf\longmapsto 3x=15[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{15}{3}[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

what is the sign of x/y times 7y^3 when x<0 and y>0? A. Positive B. Negative C. Zero​

Answers

X <0 means x would be negative.

For x/y, a negative divided by a positive would give a negative answer.

A negative multiplied by a positive would result in a negative.

The answer would be B. Negative

The measure of one of the small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles. ​

Answers

Answer:

Step-by-step explanation:

A right triangle has one right angle and two acute angles.

A and B are the acute angles.

A+B =  90°

One acute angle is 45 less than twice the other acute angle.

A = 2B-45°

(2B-45°) + B = 90°

3B = 135°

B = 45°

A = 45°

What are the values of (-2)4 and -24?
1. 8 and -8
2. -8 and -8
3. 16 and -16
4. 16 and 16

Answers

Answer:

2.

Step-by-step explanation:

(-2)×4=-8

-2×4=-8

~~~~~~~~

Answer:

16 and 16 is the correct answer

Jacob bought a magazine for $2.80 and three candy bars. Write an expression for how much Jacob paid.

Answers

Answer:

total = 2.8 + 3x

x is the price of the candy bars

Find F(-3).
F(x) = 2x^2- 5x-8

Answers

Answer:

25

Step-by-step explanation:

F(x) = 2x^2- 5x-8

Let x=-3

f(-3) = 2 (-3)^2 -5(-3) -8

          =2(9) +15 -8

          =18+15-8

          =25

Find the length of AB

Answers

Answer:

C. 44.98

Step-by-step explanation:

Hi there!

We are given the right triangle ABC, m<B=12°, and CB =44

We want to find the length of AB

We can use trigonometry to do it

Let's find the ratio in reference to angle B, as that angle is given.

In reference to angle B the opposite angle is AC, the adjacent side is CB, and the hypotenuse is AB

Now let's recall the 3 most commonly used functions:

[tex]sine=\frac{opposite}{hypoptenuse}[/tex]

[tex]cosine=\frac{adjacent}{hypotenuse}[/tex]

[tex]tangent=\frac{opposite}{adjacent}[/tex]

Let's find the cosine of angle B, as it uses CB and AB, which are the given side and the side we need to find

In that case,

cos(12)=[tex]\frac{CB}{AB}[/tex]

cos(12)=[tex]\frac{44}{AB}[/tex]

Multiply both sides by AB

[tex]AB[/tex]*cos(12)=44

Divide both sides by cos(12)

AB=[tex]\frac{44}{cos(12)}[/tex]

Now plug [tex]\frac{44}{cos(12)}[/tex] into your calculator. Make sure your calculator is on degree mode

AB≈44.98

So the answer is C

Hope this helps!

The perimeter of a rectangular garden is 120 feet The garden is two times as long as it’s why the system of equation can be used to find the width in the length what is the length

Answers

Answer:

Step-by-step explanation:

Garden is two times as long as it is wide.

L = 2W

Perimeter is 120 feet

2L + 2W = 120

L +W = 60

(2W) + W = 60

3W = 60

W = 20 feet

L = 2W = 40 feet

Reduce 20/60 to its lowest common denominator

Answers

Answer:

it is 1/4

Step-by-step explanation:

20/60=10/30=1/3

Answer:

20/60=1/3

Step-by-step explanation:

20/60

HCF=20,

20*1=20, 20*3=60

1/3

or,

Remove the zeros,

2/6

Divide by 2 on both,

1/3

or divide by any common factor on both and keep dividing until u cant no more

20/60=1/3

Use the following graph to evaluate f’(-5) and f’(-1).

Answers

Answer:

Bonsoir,

f'(-5)=-4/3

f'(-1) =3/4

Step-by-step explanation:

f'(-5) = ?

2 points : (-6,9) and (-3,5)

f'(-5)=(9-5)/(-6-(-3))=-4/3

f'(-1) = ?

2 points : (-3,5) and (1,8)

f'(-1)=(5-8)/(-3-1)=3/4

The lines are perpendicular

The derivative at the points -5 and -1 are:

f’(-5)  = -4/3

f’(-1) = 3/4

What is derivative at a point on line?

The slope of the tangent line to the graph of a function at a point is called the derivative of the function at that point.

We consider the line on which where the x coordinate -5 lies.

It is the line with points (-3, 5) and (-6, 9).

Slope of the line =  [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{9-5}{-6+3} = \frac{-4}{3}[/tex]

f'(-5) = -4/3

We consider the line on which where the x coordinate -1 lies.

It is the line with points (-3, 5) and (1, 8).

Slope of the line =  [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{8-5}{1+3} = \frac{3}{4}[/tex]

f'(-1) = 3/4

Learn more about derivative at a point here

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Need help with precalc please! Thank you!

Answers

que es eso ._ .wooooooooo .

I can’t solve plz help me ...

Answers

Your answer is in the attachment.

The produce of three and the sum of a number and eight

Answers

Answer:

3(x + 8)

Step-by-step explanation:

"The product of three and the sum of a number and eight".

First, note that:

1) Product means multiply.

2) Sum means addition.

With that in mind, also note the order of operations. The order of operations is defined as PEMDAS, or:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Also, let "a number" be denoted as the variable, x.

~

Firstly, "the sum of a number and eight": x + 8

Next, "The product of...": 3 *

Putting the two parts together will generate: 3(x + 8)

3(x + 8) is your answer.

~

A store is advertising a new DVD player for $189.00. If the sales tax rate is 7.25 percent,

Answers

Answer:

then what's the question???..

I will give a brainliest and 20pts to the person that can use the Pythagorean theorem to solve for x. Please help. I went over it several times and the answer I got doesn't match up with what the box says ​

Answers

Answer:

x = 48

Step-by-step explanation:

Pythagorean thm:

a² + b² = c²

Given:

a = x

b = 36

c = 60

Work:

a² + b² = c²

x² + 36² = 60²

x² + 1296 = 3600

x² = 3600 - 1296

x² = 2304

√x² = √2304

x = 48

You have 2 5 sided dice, what's the probability the addition of rolling both

Answers

Answer:

7

Step-by-step explanation:

If a runner jogs 3 miles west and then jogs 8 miles
north, how far is the runner from her starting point
if she plans to run straight back? Remember to
simplify your answer.

Answers

If they run 3 miles west then 8 miles north, it forms a right triangle. So just use the Pythagorean Theorum.

A^2+B^=C^2

3^2+8^3=C^2

9+64=C^2

Square root 73=C or 8.54=C (Miles)

The runner is 8.54 miles from her starting point if she plans to run straight back.

From the question, a runner jogs 3 miles west and then jogs 8 miles north.

An illustrative diagram for the journey is shown in the attachment below.

In the diagram, S is the starting point. That is, the runner jogs 3 miles west to a place R and then 8 miles north to a place E.

The cardinal points (North, East, West and South) are indicated beside the diagram.

Now, to calculate how far she is from her starting point if she plans to run straight back, we will determine the length of /ES/ in the diagram.

The diagram is a right-angled triangle and /ES/ can be determined using the Pythagorean theorem.

The Pythagorean theorem states that, in a right-angled triangle, the square of the longest side ( that is hypotenuse) equals sum of the squares of the other two sides.

In the diagram, hypotenuse = /ES/

∴ /ES/² = /SR/² + /RE/²

/SR/ = 3 miles

/RE/ =8 miles

/ES/² = 3² + 8²

/ES/² = 9 + 64

/ES/² = 73

/ES/ = [tex]\sqrt{73}[/tex]

/ES/ = 8.54 miles

Hence, the runner is 8.54 miles from her starting point if she plans to run straight back.

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The graph shown below expresses a radical function that can be written in
17
the form f(x) = a(x + k)!
C. What does the graph tell you about the
value of k in this function

Answers

Answer:

C. [tex]k[/tex] is greater than zero.

Step-by-step explanation:

We know that graph is obtained from the function of the form [tex]f(x) = a\cdot (x+k)^{1/n} + c[/tex]. According to the graph and if [tex]x + k = 0[/tex], we find that:

[tex]x = -k[/tex] (1)

[tex]x < 0[/tex] (2)

By (1) and (2):

[tex]-k < 0[/tex]

[tex]k > 0[/tex]

Hence, correct answer is C.

If 3x+2=5/9, what is the value of −3x+8?

Group of answer choices

Answers

Answer:

= 4

Step-by-step explanation:

first lets find the value of x in 3x+2=5/9

3x+2=5/9

3x = [tex]\frac{5}{9}[/tex] -2

3x = [tex]\frac{3}{9}[/tex]

3x = [tex]\frac{1}{2}[/tex]

x = [tex]\frac{1}{2 * 3\\ }[/tex]

x = [tex]\frac{1}{6}[/tex]

[tex]\frac{1}{6}[/tex] can also be written as [tex]6^{-1}[/tex]

−3x+8

-3 ([tex]\frac{1}{6}[/tex]) +8

[tex]\frac{-3}{6}[/tex] +8

= 4

Solve
0.9(7x + 14) = 1.5 - (x + 2)

Answers

[tex]\\ \sf\longmapsto 0.9(7x+14)=1.5-(x+2)[/tex]

[tex]\\ \sf\longmapsto 6.3x+12.6=1.5-x-2[/tex]

[tex]\\ \sf\longmapsto 63x+12.6=-x-0.5[/tex]

[tex]\\ \sf\longmapsto 63x+x=-0.5-12.6[/tex]

[tex]\\ \sf\longmapsto 64x=-13.1[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-13.1}{64}[/tex]

[tex]\\ \sf\longmapsto x=0.2[/tex]


Which ordered pair would form a proportional
relationship with the points in the graph?
O (44)
O (69)
O (9,6)
O (8,5)

Answers

Answer: o (44)
6,9
8,9

[tex]3^n^+^1+9/3^n^-^1+1[/tex]
how do i solve it?

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{3^{n+1}+9}{3^{n-1}+1} \\\\=\dfrac{9*(3^{n-1}+1)}{3^{n-1}+1}\\\\=9\\[/tex]

Please help!
It took Suki 127 minutes from start to finish to carve her pumpkin. Carving the pumpkin took her 13 fewer minutes than 10 times as long as it took her to pick the pumpkin out at the pumpkin patch. Write and solve an equation to find how long it took Suki to pick out her pumpkin.

Answers

9514 1404 393

Answer:

  14 minutes

Step-by-step explanation:

Let t represent the time it took Suki to pick out her pumpkin. The given relation is ...

  10t -13 = 127 . . . . . equation for minutes to carve

  10t = 140 . . . . . . . . add 13

  t = 14 . . . . . . . . . . divide by 10

It took Suki 14 minutes to pick out her pumpkin.

In a food preference experiment, 80 lizards were given the opportunity to choose to eat one of three different species of insects. The results showed that 33 of the lizards chose species A, 12 chose species B, and 35 chose species C. They conducted a Chi-squared analysis to test for equal preference. What are the Null and Alternate hypothesis for this test

Answers

Answer:

H0 : The variables are independent

H1 : The variables are not independent

Step-by-step explanation:

In a Chisquare test ; The null hypothesis is used to lay claim that the variables are independent, that is no relationship exists between the categorical variables in the population while the alternative hypothesis negates the null thus claiming that the variables aren't independent.

The null hypothesis, H0 : The variables are independent, A = B = C

The alternative hypothesis ; H1 : The variables are not independent, A ≠ B ≠ C

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