What angle in radians corresponds to 4 rotations around the unit circle?

Answers

Answer 1

8π radians corresponds to 4 rotations around the unit circle.

One rotation around the unit circle corresponds to an angle of 2π radians (or 360 degrees), since the circumference of the circle is 2π times its radius (which is 1). Therefore, 4 rotations around the unit circle correspond to an angle of:

4 rotations × 2π radians/rotation = 8π radians

So, 8π radians corresponds to 4 rotations around the unit circle.

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Related Questions

I WILL MARK BRAINLIEST

Answers

Answer:

[tex]\frac{81}{m^7}[/tex]

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

[tex](3m^{-4} )^3(3m^5)[/tex]

Remove the parenthesis around 3m^5 :

[tex](3m^{-4} )^3*3m^5[/tex]

Do the exponent rule for outside and inside exponent parenthesis :

[tex](3m^{-4*3} )[/tex]

[tex]3^3m^{-12} *3m^5[/tex]

Apply addition exponent rule :

[tex]m^{-12} *3^{3+1} m^5[/tex]

Add :

[tex]m^{-12} *3^4m^5[/tex]

Apply the addition rule for -12 + 5 :

[tex]3^{4} m^{-7}[/tex]

Apply negative exponent rule for m^-7 :

[tex]3^4*\frac{1}{m^7}[/tex]

Multiply the fractions :

[tex]\frac{1*3^4}{m^7}[/tex]

[tex]\frac{81}{m^7}[/tex]

Find the maeasure of the exterior angle in the figure

Answers

Answer:

the answer would be 5b as the exterior angle is subdivided with the co efficient

Step-by-step explanation:

1. Um prêmio em dinheiro foi dividido entre 3
pessoas: a primeira recebeu 1/4 do valor do
prêmio a segunda recebeu 1/3 e a terceira
ganhou R$ 1000,00. Então, o valor desse prêmio,
em reais, era de:
a) 2400,00
b) 2200,00
c) 2100,00
d) 1800,00​

Answers

I think the answer is b

someone help me with this answer please !!

Answers

Answer:

-27

Step-by-step explanation:

Write the expanded form of the expression.
y(0.25 +5)
y(0.25 + 5) =

Answers

(y * .25) + (y * 5)


hope this helps

The expanded form of the expression y(0.25 +5) is 0.25y + 5y.

What are GCF and distributive property?

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Expanded form or Distributive properties are the same in mathematics.

Given, An expression y(0.25 + 5).

So, applying  distributive property a(b + c) = ab + ac to y(0.25 + 5) we have

0.25y + 5y.

= 5.25y.

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in estimating the body temperature of a person, what difficulties did you encounter?Explain​

Answers

Answer:

In general , While estimating a bodies temperature that temperature is not the same for long, the temperature of the body is not at homeostasis, the temperature constantly has bumps and drops in the temperature this causes in accuracy thats why the thermometer takes 10-20 seconds because it takes the average of all the temperature's so it is accurate, that is a difficulty when estimating temperature because estimates are not good and the temperature keeps having ups and downs.

Find the slope of the line

Answers

Answer:

-1

Step-by-step explanation:

Using rise over run for the two points

4 - 0/ -1 - 3 = -1

Answer:

We found 2 coordinates

1. ( 0 ,3)

2.(3,0)

Now slope = tan theta = 3/3 = 1

Answer is 1

Mark it as brainlist answer

Step-by-step explanation:

help
3 − 4 + 16 − 10 + 2=​

Answers

Step-by-step explanation:

3 - 4 + 16 - 10 + 2

= 7

hope it helps :)

Step-by-step explanation:

3 − 4 + 16 − 10 + 2 [B.O.D.M.A.S rule] (First addition)

= 3 + 16 + 2 - 4 -10

= 21 - 14. (Then subtraction)

= 7 (Ans)

Hello brainly people, can someone please explain how I do this? I really need help...

Answers

Well to find the slope you go y1-y2/x1-x2
In this case you have 9/-17 now the y intercept is when x is 0 what is why which is 4

Your answer is y=-9/17x+4

Write a system of linear inequalities so the points,(1,2) and (4,-3) are solutions of the system, but the point (-2,8) is not a solution of the system.

Answers

Answer:

The sample system is:

y < 5y > x - 8

see the attached

The points (1, 2) and (4, -3) are in the intersected region but the point (-2, 8) is outside

PLEASE HELP 50 POINTS Which terms can be combined in the expression below? Select three options.

StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b

Answers

Answer:

it -16.3

Step-by-step explanation:

Answer:

Answer:

Option 2nd , 4th and 6th correct

2,4 and 6

Step-by-step explanation:

Like terms are those terms which have same variable to the same power.

Combine like terms

Simplify:

Therefore, the  term can be combined in the given expression is,

2, 4 and 6Barinliest?

PLZZZZZ HELP ME!
It’s math btw

Answers

Answer:

1. 9/10

2. 15/16

4. 3/5

5. 3/5

Step-by-step explanation:

1. 7/10 + 2/10 = 9/10

2. 13/16 + 2/16 = 15/16

4. 7/15 + 2/15 = 9/15 = 3/5

5. 9/20 + 3/20 = 12/20 = 3/5

Answer: 1 r1 for second

Step-by-step explanation: 13/16+2/16=15/16 divide 15/16 gets 1 r1

convert the decimal into a reduce fraction.

Answers

Answer:

hey i dont really know, but look up calculator soup, it has a ton of different calculators and may be able to help u

Step-by-step explanation:

/

There are 20 animals in the barn. There are chickens and sheep in the barn. If there are
a total of 62 legs, how many of each animal are there? *

Answers

Answer: Nope I was wrong

There are 11 sheep, and nine chickens.

In an inverse variation, x = -6 when y = -1/2. What is the value of y when x = 4?

Answers

Answer:

[tex]9 \frac{1}{2} [/tex]

Step-by-step explanation:

just add 5.5 to each number and make it in fraction

hop it helps you

please mark me as brainlist

Write the equation of a line in slope intercept form.
(-3,-9 ) and (2,6)

Answers

Answer:

y = 3x

Step-by-step explanation:

A object falls at 16t^2 feet in t seconds you drop a rock from a bridge that is 906 what is the hight in feet after the rock is droped

Answers

Answer:

824 feet

Step-by-step explanation:

Given

[tex]h(t) = 16t^2[/tex]

[tex]H = 906[/tex] -- Initial Height

Required

Calculate the height after 2 seconds --- missing from the question

First, we calculate the distance moved in 2 seconds

[tex]h(t) = 16t^2[/tex]

[tex]h(2) = 16*2^2[/tex]

[tex]h(2) = 16*4[/tex]

[tex]h(2) = 64[/tex]

This means that the object covered 64feet

The object current height is then calculated as:

[tex]Height = H - h(t)[/tex]

t = 2. So, the equation becomes

[tex]Height = H - h(2)[/tex]

Substitute values for H and h(2)

[tex]Height = 906- 64[/tex]

[tex]Height = 824[/tex]


Choose SSS, SAS, or AA to prove
the triangles are similar.

A. SSS
B. SAS
C. AA

Answers

Question :

Choose SSS, SAS, or AA to prove the triangles are similar.

A. SSS

B. SAS

C. AA

Answer :

As, all sides are given so we can use SSS to prove the triangles are similar.

So, correct option is A.

Explanation :

Given :

Sides of 1st triangle = 24, 32 and 40Sides of 2nd triangle = 27, 36 and 45

To Prove :

Triangles are similar

Proof :

As, all three sides are given so let's check ratio of all three sides.

1. [tex] \tt \cancel{\dfrac{24}{27}} = \dfrac{8}{9}[/tex]

2. [tex] \tt \cancel{\dfrac{32}{36}} = \dfrac{8}{9}[/tex]

3. [tex] \tt \cancel{\dfrac{40}{45}} = \dfrac{8}{9}[/tex]

As, all sides are in equal ratio.

So, by SSS

∆1 ~ ∆2

Zoltan read 15 pages of his book in 6 minutes. At this rate, how many pages can he read in 10 minutes?

Answers

Answer:

25 pages in 10 minutes.

Cool down tickets, a school is holding a carnival and hopes to raise $500. Child tickets cost $3 and adult tickets cost $5. If the school sells x child tickets and y adults, then the equation 3x + 5y=500 expresses the fact that school raised exactly $500 from ticket sales. Solve thevequation for x. 2. Explain whenot might be helpful to resrite the equation this way.

Answers

Answer:

x = 1/3(500 + 5y)

Step-by-step explanation:

Given that:

x child tickets for $3

y adult tickets for $5

3x + 5y = 500

To solve for x

3x = 500 + 5y

Divide through by 3

3x /3 = 500/3 + 5y/3

x = 1/3(500) + 1/3(5y)

x = 1/3(500 + 5y)

2.)

If the total number of tickets sold was made available, then a more direct solution would have been obtainable as we can have two different equations;

One for the total number of ticket sales and the other of the total revenue from ticket sales.

How many LaTeX: \frac{1}{3}1 3 inch cubes does it take to fill a box with width LaTeX: 2\frac{2}{3}2 2 3 inches, length LaTeX: 3\frac{1}{3}3 1 3 inches, and height LaTeX: 2\frac{1}{3}2 1 3 inches?

Answers

Answer:

186.7 cubes

Step-by-step explanation:

How many LaTeX: \frac{1}{3}1 3 inch cubes does it take to fill a box with width LaTeX: 2\frac{2}{3}2 2 3 inches, length LaTeX: 3\frac{1}{3}3 1 3 inches, and height LaTeX: 2\frac{1}{3}2 1 3 inches?

Step 1

We find the volume of the box

= Length × Width × Height

Length = 3 1/3 inches = 10/3 inches

Width = 2 2/3 inches = 8/3 inches

Height = 2 1/3 inches = 7/3 inches

The volume of the box =

10/3 inches × 8/3 inches × 7/3 inches

= 560/9 cubic Inches

= 62 2/9 cubic inches

Step 2

How many 1/3 inch cubes would fill the box.

This is calculated as:= 62 2/9 cubic inches/ 1/3 inches

= 560/9 ÷ 1/3

= 560/9 × 3/1

= 186.66666667 cubes

Approximately = 186.7 cubes

Help me please!!!!!!

Answers

Answer:

(2,8)

Step-by-step explanation:

I'm not so sure but if I were answering I would have picked (2,8)

558 cups of water fill 412 identical water bottles. How many cups fill each bottle ?

Answers

Answer:

5/4 cups fill each bottle

Step-by-step explanation:

5 5/8=45/8

4 1/2=9/2

Step by Step:

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

(45/8)/(9/2)

(45/8)(2/9)

(45/4)(1/9)

45/36

5/4

what is 41x plus 21x​

Answers

The answer to that question is 62x ()//‘’::;;

Help please I have to submit it pretty soon.

Answers

1. 24 cents/.24
2. Every 2 daisies to total amount/ 2,9
3. 10 juices

f(x)= 10x find the inverse of the function

Answers

This is the answer I got.

I dont really understand this question, can anyone help me out?

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Angles.

Complementary angles sum up together to become 90°.

Supplementary Angles sum up together to become 180°.

hence,

1.) Ans ==>Angle ABC and Angle NMP

2.) Ans ==> angle ABC and angle EFG

Complementary angles add up to 90 degrees while supplementary angles will add up to 180 degrees.

1) ABC & NMP
2) EFG & RST

The square table top has an area of 369 square
inches. The length of one side of the table top is
between which two measurements?

Answers

Answer:

19 in. and 20 in.

Step-by-step explanation:

18^2 = 18 * 18 = 324

19^2 = 19 * 19 = 361

20^2 = 20 * 20 = 400

369 is between 361 and 400, so the side of the table is between 19 in. and 20 in.

Answer:

19 in. and 20 in.

Step-by-step explanation:

18^2 = 18 * 18 = 324

19^2 = 19 * 19 = 361

20^2 = 20 * 20 = 400

369 is between 361 and 400, so the side of the table is between 19 in. and 20 in.

To solve the system of linear equations 3 x + 5 y = 2 and 6 x + 10 y = 8 by using the linear combination method, Laura correctly multiplied the first equation by –2 to get Negative 6 x minus 10 y = negative 4 and then correctly added the equations Negative 6 x minus 10 y = negative 4 and 6 x + 10 y = 8 to get 0 = 4. How many solutions are there to the system of equations?
0
1
2
4

Answers

Answer:

x = 1

y = 1/5

Step-by-step explanation:

Given the system of linear equations

x + 5 y = 2 .... 1 ×2

6 x + 10 y = 8 .... 2×1

___,_______

2x+10y = 4

6x+10y = 8

Subtract

2x-6x = 4-8

-4x = -4

x = 1

Substitute x =1 into 1

x+5y = 2

1+5y = 2

5y = 2-1

5y = 1

y = 1/5

Hence the solution to the system of equation is (1, 1/5)

Answer:

is a:0

Step-by-step explanation:

those linear lines will never intersect

Mrs. Corbett signed 1/2 of all the holiday cards and Mr. Corbett signed 3/8 of all of them. Mrs. Smith will sign the rest of them. If there were 32 cards in all, how many are left to be signed by Mrs. Smith?

Answers

Answer:

4 cards

Step-by-step explanation:

1. Approach

First, find how much ([tex]\frac{1}{2}[/tex]) of all the holiday cards is. Then find out how much [tex]\frac{3}{8}[/tex] of all the cards is. After doing so, subtract both amounts from the total number of holiday cards.

2. Find out how many were signed

To find out how much a fraction of a certain value is, multiply the fraction by the value.

[tex]32*\frac{1}{2}=16\\\\32*\frac{3}{8}=12[/tex]

3. Find out how many were left

Now subtract the number of signed cards from the total number of cards.

[tex]32 -( 16 + 12)\\\\= 32 - 16 - 12\\\\= 16 - 12\\\\= 4[/tex]

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