On the unit circle, how many radians would the point (-1,0) pass if rotated counterclockwise until it first reaches (root3/2,-1/2)?

Answers

Answer 1

The radians that the point (-1,0) would pass if rotated counterclockwise until it first reaches (√3/2,-1/2) is 2π/3.

How do we get the radians?

When a point on the unit circle is rotated counterclockwise, it traces out an angle in radians. To find the number of radians that the point (-1,0) would pass if rotated counterclockwise until it first reaches (√3/2,-1/2), we can use the fact that the point (-1,0) corresponds to an angle of π radians on the unit circle, and the point (√3/2,-1/2) corresponds to an angle of 5π/3 radians on the unit circle.

To find the number of radians passed, we need to subtract the initial angle (π) from the final angle (5π/3), so (5π/3 - π) = 2π/3 radians.

Therefore, the point (-1,0) will pass 2π/3 radians when it is rotated counterclockwise until it first reaches (√3/2,-1/2)

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Related Questions

Urgently need help please . Thanks

Answers

Answer:

224 feet^3

Step-by-step explanation:

Cube -> Volume = 4×7×7 = 196 feet^3

Prism -> Volume = 2×7×2 = 28 feet^3

196+28=224

what is the area of a parallelogram that has a base of 8yd and a height of 4yd?​

Answers

Answer:

32yd²

Step-by-step explanation:

A=bh=8·4=32yd²

Find the perimeter and area of a rectangle of cardboard measuring 14.1 cm by 6.5 cm

Answers

Answer:

perimeters =41.2

area=91.65

Step-by-step explanation:

rectangle Perimeter(p) Area (A)

L=length 2 (L+W) L×W

W=width

Answer:

14.1*6.5= your area

6.5+6.5+14.1+14.1=perimeter

Step-by-step explanation:

hope this helps!

Rosa bought 90 feet of rope for ​$20.70. She needs 50 more feet. If the unit price is the​ same, how much will she pay for the extra 50 feet of rope​?

Answers

Answer:

she will pay 11.50 for the extra rope

find the are area of the square ABCD​

Answers

Answer:

196 m2

Step-by-step explanation:

Answer:

The area of the square ABCD with side of 14m

is 196 m²

Step-by-step explanation:

Area = a*a = 14 x 14 = 196 m²

a is side

Daniel want to know the volume of his cube, he notices that the cube has 1/5 centimeters side length, what is the volume of the cube?

Answers

Answer:

1/125 cm^3

Step-by-step explanation:

Volume of a cube = L^3

L is the side length of the cube

Given

L = 1/5 cm

Volume of the cube = (1/5)^3

Volume of the cube = 1/125

Hence the volume of the cube is 1/125 cm^3

A farmer created a corn maze. He charged $5 to run through the maze. Some of the trails led to winning a cash prize of $30. Make a tree diagram to show for your own reference......make sure it has: all the "group possible" paths customers might take, entering the maze on the upper, middle, or lower path and proceeding to an exit with or without a pumpkin (at each fork in the maze a person is equally likely to take any path. Finally, find the EXPECTED VALUE of playing this game.

A) $.50
B) $1.50
C) $2.50
D) $3.50

Answers

I think the answer is A

It would be helpful if you can help me with this!

Your uncle is 2 years older than 3 times your age

You are 12 years old. How old is your uncle?

(Look at the picture)

Answers

If the person’s age is x then the uncle’s age is 3x + 2
We know that x = 12 so 3x + 2 = 38

Consider the function f(x) =
9-x²/x² - 4
For which intervals is f(x) positive? Check all that apply.
1 (-00, -3) )
(-3, -2)
0 (-2, 2)
(2,3)
(00, 3)

Answers

Answer:

a c

Step-by-step explanation:

7 times s increased by
2

Answers

Answer:

7s + 2 would be an expression

Answer:

7x+2? Or maybe 7x (x) 2

Step-by-step explanation:

WILL MARK BRAINLIEST!!!
PLEASE HELP!

Using the distributive property of multiplication over​ addition, we can factor as in xy​x(x​y).
Use the distributive property and other multiplication properties to factor each of the following expressions.

a. xy+y^2=
b. xy+x=
c. a^2b+ab^2

Answers

a. xy + [tex]y^{2}[/tex] = y ( x + y)

b. xy + x = x(y + 1)

c. [tex]a^{2b} + ab^{2}[/tex] = a ( [tex]a^{2b-1}[/tex] + [tex]b^{2}[/tex])

A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form

Answers

The answer is 3(x−2)

find c and round to the nearest tenth. thank you in advance

Answers

Answer and Step-by-step explanation:

90ft = a

55ft = b

50ft = c

Plug into equation.

[tex]50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4[/tex]

29.4° is the answer.

Select the letter for the correct answer
,

Answers

Answer:

a) 2

Step-by-step explanation:

 4:8 and 6:12

4/8 and 6/12

we flip them since we want to find the conversino

8/4 and 12/6

simpilify

2 and 2

scale factor was 2

hope this helps, lmk if it is correct

A) 2

It is a because 8/4 = 2 and 12/6 also = 2

function machine
what is f(-10)=
for what input is the output 93

Answers

a) replace x with -10 and solve:

-6(-10)-3 = 60-3 = 57

f(-10) = 57

b) replace f(x) with 93 and solve for x:

93 = -6x-3

Add 3 to each side:

96 = -6x

Divide each side by -6:

x = -16

The input value is -16

which is larger 4.5 or 9/2​

Answers

Answer:

Both are equal

4.5 = 9/2

4.5 = 4.5

Hope it will help :)

Answer:

They are equal

Step-by-step explanation:

When we simplify 9/2 and divide, we get the answer 4.5, which is equal to 4.5. Therefore, neither number is larger and they are equal, just written in different ways.

I hope this helps!


Express 0.123123123123123.
as a fraction.

Answers

Answer: That's almost impossible because the only way that can be a fracion is this 12312312312312/100000000000000

Step-by-step explanation:

If you toss five fair coins, in how many ways can you obtain at least one head?
Select one:
a. 15
О
b. 31
O
c. 16
d. 32

Answers

Answer:

31

Step-by-step explanation:

Plz mark brainliest :D

I have my main hopes on 31 :D good luck

lets simplify
a. 4x²×3x
_____
6x²​

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

What is the value of x?

3
4
6
8

Answers

10 + 2x = 18
2x = 18-10
2x = 8
x = 4


if you need y

2y + 4 = 10
2y = 10-4
2y = 6
y = 3

1.
2.
4.5 4
X 6
answer
bobo gago ​

Answers

Answer:

4.54 x 6 = 27.24

Step-by-step explanation:

Your question is kind of confusing but I suppose you mean: 4.54 x 6. The answer to that is 27.24.

CAN ANYONE PLEASE HELP IVE GOTTEN NONE AND WILL FAIL IF I DONT GET ANY
A ball is thrown into the air with an initial velocity of 30 meters per second.
The quadratic function h(t) = −4.9t^2 + 30t + 10 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Determine h(3) and explain what it represents.

Answers

Answer:

55.9

Step-by-step explanation:

The ball takes 3 seconds to go up 55.9 meters.

3^2=9

-4.9 x 9 = -44.1

30 x 3 = 90

-44.1 + 90 = 45.9

45.9 + 10 = 55.9

two step equations 12=18-d

Answers

Answer:

In this exercise, you need to get d:

12 = 18 - d

What we can do is substracting 18 in both sides:

12 - 18 = 18 - 18 - d

-6 =  -d

And then, we can say that d = 6..

can you solve it using a method? and show work

Answers

Answer:

There are always three ways to solve a system of equationsThere are three ways to solve systems of linear equations: substitution, elimination, and graphing. Let's review the steps for each method.

the equations are
option 1. y= -3x+5
option 2. y= -1/3x+5
option 3. y= -3x-5
option 4. y= 1/3x+5

Answers

Answer:

option one

Step-by-step explanation:

the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3

a book which cost 300 naira was sold for 240naira.what was the loss percentage?​

Answers

Answer:

20%

Step-by-step explanation:

Since the original price of the book is 300 naira...

100% = 300 naira

1% = 300 ÷ 100 = 3 naira

240 ÷ 3 = 80

Since 80% is the percentage of the price after the loss..

100 - 80 = 20%

What is the value for x

What is the value for y

Answers

Answer:

y=155, x=65

Step-by-step explanation:

y+25=180

y=155

y=90+x

155=90+x

x=65

if my answer helped please mark as brainliest.

The required measure of angles x and y are 65° and 155° respectively.

Following the given figure, to determine the value of y and x.

In the figure angles y and 25° are supplementary angles, while x, 90°, and 25° are the angles of a triangle.

To determine y, follow the property of supplementary angle:

y + 25 = 180
y = 180 - 25
y = 155°

To determine x, follow the property of the triangle,
x + 90 + 25 = 180
x = 90 - 25
x = 65

Thus, the required measure of angles x and y are 65° and 155° respectively.

Learn more about angles here:

https://brainly.com/question/10649695

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resiprocal of (-3/7)^2!​

Answers

Answer:

[tex]\frac{49}{9}[/tex]

Step-by-step explanation:

Given

[tex](\frac{-3}{7})^{2!}[/tex]

Required

Determine the reciprocal

If a number is x, the reciprocal is: 1/x

So, the reciprocal of [tex](\frac{-3}{7})^{2!}[/tex] is:

[tex]\frac{1}{(\frac{-3}{7})^{2!}}[/tex]

[tex]2! = 2*1 =2[/tex]

So, we have:

[tex]\frac{1}{(\frac{-3}{7})^{2}}[/tex]

[tex]\frac{1}{(\frac{-3^{2}}{7^{2}})}[/tex]

Evaluate all exponents

[tex]\frac{1}{(\frac{9}{49})}[/tex]

Take inverse of 9/49

[tex]\frac{49}{9}[/tex]

Hence, the reciprocal of [tex](\frac{-3}{7})^{2!}[/tex] is [tex]\frac{49}{9}[/tex]

PLEASE HELP I AM STUCK

Answers

Answer:

Do the pythagor theorem and add 5

It's 65

Tell whether the line or segment is best described as a radius, chord, diameter, secant, or tangent of ​⨀P

Answers

Answer:

Chord: Secant: Tangent: Radius: Diameter: Using String to Draw a Circle Tell whether the line, ray, or segment is best described as and the radius and the diameter as lengths. P secant point of tangency tangent.

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