Four angles are shown below. Recall that an angle completing a full rotation measures 2π radians.


Angle A represents ____ of a full rotation.
Therefore, Angle A has a measure of___  radians.   

Angle B represents___  of a full rotation.
Therefore, Angle B has a measure of ____ radians.   

Angle C represents____  of a full rotation.
Therefore, Angle C has a measure of  ___radians.   

Angle D represents_____  of a full rotation.
Therefore, Angle D has a measure of  ___radians. 

Four Angles Are Shown Below. Recall That An Angle Completing A Full Rotation Measures2radians.Angle A

Answers

Answer 1

Answer:

Step-by-step explanation: Angle A is 45 degrees so it represents 1/8 of a rotation. so it has a measure π/4 rads. Angle B is 90 degrees so it represent 1/4 of a rotation. so it has a measure of π/2 rads. Angle C represents 180 degrees so that represent 1/2 of a rotation so it has a measure of π rads. Angle D is 270 degrees so it represents 3/4 of a rotation . Therefore, Angle D has a measure of  6π/4.

Answer 2

The for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.

What is an angle?

The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.

From the figure attached:

Angle A represents 1/8 of a full rotation. Therefore, Angle A has a measure of π/4 radians.  

Angle B represents 1/4 of a full rotation. Therefore, Angle B has a measure of π/2 radians.  

Angle C represents 1/2 of a full rotation. Therefore, Angle C has a measure of π radians.  

Angle D represents 3/4 of a full rotation. Therefore, Angle D has a measure of 6π/4 radians.

Thus, the for angle A 1/8 and π/4, for angle B 1/4 and π/2, for angle C 1/2 and π, and for angle D 3/4 and 6π/4.

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Related Questions

Given O that is the center of the circle below, compare the quantity in column A with the quantity in column B.
Choose the best answer

A.The quantity in column A is greater
B.The quantity in column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

Answers

Answer:

the answer is b

Step-by-step explanation: edge 2020

Answer:

C. The two quantities are equal

Step-by-step explanation:

Edge 2020 2021

f(x)=-x^(2)-2x-5 , -5

Answers

Step-by-step explanation:

Needs more detail unable to answer

|-3/4+1/8|- (2/3+1/6)

Answers

Answer:

-5/24

Step-by-step explanation:

-3/4 = -6/8

-6/8 + 1/8 = -5/8

|-5/8| = 5/8

2/3 = 4/6

4/6 + 1/6 = 5/6

5/8 - 5/6  =  15/24 - 20/24

15/24 + (-20/24) = -5/24

it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?

Answers

7 hoursssssssssssssssss

Jasmine and Richard are arguing about which expression represents the sum of (6x - 3y) and (x + y). Richard says it is 7x - 2y but Jasmine says it is 7x - 4y. Who is right? Explain.

Answers

Answer:

Richard 7x-27

Step-by-step explanation:

6x-3y +  x+y

Please help!!! 10 points for it!!

Answers

Answer:

Step-by-step explanation:

x = 180 - ((180-96)+(180-130))

x = 180 - (84+50)

x = 46°

Answer:

x = 46 degrees

Step-by-step explanation:

180 - 130 = 50

180 - 96 =  84

50 + 84 = 134

180 - 134 = 46

IF U KNOW IT
Kai buys 6 fiction books and 4 nonfiction books.

What is the ratio of fiction books to nonfiction books?



2 : 3
2 : 10
3 : 10
3 : 2

Answers

Answer: 3:2

Step-by-step explanation:

This is correct because 3:2 is equal to 6:4. 3:2 is 6:4 divided by 2.

Hope this helps ;)

Answer:

3:2

Step-by-step explanation:

Fiction to non-fiction.

6:4

Now, simplify. Divide both by 2.

6/2=3

4/4=2

3:2 is the ratio.

HELP HELP HELP HELP PLEASE PLEASE !!!!!

Answers

Answer:

Correct answer would be 84/12=7

Step-by-step explanation:

Reason being , Its asking the "product" Of Julies score (7)

If you divide 84 /7 it will be =12

since its already giving you what its equal you would flip it and it would be 84/12

6 more than 7 times 3 ?

Answers

Answer:

27

Step-by-step explanation:

what are three things in Canada measured in metric system

Answers

Answer:

meter,liter and gram metric system

Answer:

The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.

PLZ SOLVE PIC ATTACHED BELOW

Answers

Answer:

[tex] \tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}[/tex]

★ Value of x is 8.1.

[tex] \sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}[/tex]

★ Value of H is 12.8676.

Remember:

tan∅=Perpendicular/Basesin∅=Perpendicular/Hypotenuse

For each of the following propositions, identify simple propositions, express the compound proposition in symbolic form, and determine whether it is true or false: The world is flat or zero is an even integer. If 432,802 is a multiple of 4, then 432,802 is even. 5 is a prime number and 6 is not divisible by 4. 3 ∈ Z and 3 ∈ Q . 2 / 3 ∈ Z and 2 / 3 ∈ Q . The sum of two even integers is even and the sum of two odd integers is odd.

Answers

Answer:

a) True

b) True

c) True

d) True

e) False

f) False

Step-by-step explanation:

a) The world is flat or Zero is an even Integer

simple proposition : it is a compound interestexpressing compound proposition in symbolic form : p v q  ;  where p = world is flat and q = Zero is an integerIt is a true statement

B )  If 432,802 is a multiple of 4, then 432,802 is even

simple proposition : It is a compound statement expressing compound proposition in symbolic form : p ⇒ q  ; where p = 432,802 is a multiple of 4  and q = 432,802 is evenp         q      p ⇒ q      hence statement is true

       F          T        T

C)  5 is a prime number and 6 is not divisible by 4

simple proposition : it is a compound statementsymbolic form ; p ∧ q

where p = 5 is a prime number  and q =  6 is not divisible by 4

statement is true

D)  3 ∈ Z and 3 ∈ Q

simple proposition : it is a compound statementsymbolic form :  p ∧ q

where p =  3 ∈ Z   and q = 3 ∈ Q

statement is true

E)  2 / 3 ∈ Z and 2 / 3 ∈ Q

simple proposition : It is a compound statementsymbolic form :  p ∧ q

where  p =  2 / 3 ∈ Z ( false )   and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false

statement is false

F) The sum of two even integers is even and the sum of two odd integers is odd.

simple proposition : It is a compound statementsymbolic form : p ∧ q

where  p = The sum of two even integers is even and q = the sum of two odd integers is odd.

statement is false

On a coordinate plane, point M is located at (-5, 1) and point N is located at (-5,8).

What is the distance, in units, between point M and point N? Enter the answer in the box.

Answers

7 units
use the distance formula or you could graph the points and count the distance, but formula is prob preferred

Maggie earns $20 each time she babysits. If she babysits 8 times, how much money did she earn?
The solution is

Answers

Answer:

160  minutes

Step-by-step explanation:

20 every time

8 times

20 times 8 = 160

The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below: Step 1: 8+12x Step 2: 4(4) +4(8x) Step 3: 4(4+8x) Step 4: Dimensions of the rectangle are 4 and 4+8x In which step did the student first make an error and what is the correct step?

a. Step 2;4(2)+4x(2)
b. Step 2;4(2)+4(3x)
c. Step 3;4+(4+8x)
d. Step 3;4+(4•8x)

PLEASE LEAVE EXPLENATION!! :)

Answers

Answer:

Step (2) is incorrect.

Step-by-step explanation:

The area of a rectangle is given by :

A = length × width

Area = 8+12x

Width = 4

Step 1: 8 + 12x  

Step 2: 4(2) + 4(3x)  

Step 3: 4(2 + 3x)  

Step 4: Dimensions of the rectangle are 4 and 2 + 3x.

It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).

What fraction does Point A on the number line below represent?

Answers

the number line is broken into increments of eighths, just count back how many ticks out of eight past 0. the answer should be -2/8

Match each simplified form to it's equivalent radical expression. Tiles: 4√3, 3 3√2, 2 3√3, 3√5

Pairs

3√24

√48

3√54

√45

Answers

Answer:

Step-by-step explanation:

Given the following simplified expressions:

4√3, 3 3√2, 2 3√3, 3√5

It's radical equivalent is :

4√3 = √4² * √3 = √16 * √3 = √16*3 = √48

3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18

2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27

3√5 = √3² * √5 = √9 * √5 = √9*5 = √45

Answer:

answer attached

Step-by-step explanation:

hope this helps!

Which power of 2 is equal to the expression below?

____________________
| |
| (23)-2 |
|____________________|

A.) 25
B.)2-1
C.)21
D.)2-6​

Answers

D I think I really don’t know

etj.
Which of the following is equivalent to
E+f/a-d =b/a

Answers

Answer:

a is the answer

Step-by-step explanation:

to understand thisyou need to know about:cross multiplicationPEMDASgiven:[tex] \frac{e + f}{a - d} = \frac{b}{a} [/tex]let's solve:

[tex]step - 1 : define \\ \frac{e + f}{a - d} = \frac{b}{a} \\ step - 2 : cross \: multiplication \\ b(a - d) = a(e + f)[/tex]

The equivalent expression of (e+f)/(a-d) = b/a is a(e+f) = b(a-d). The correct option is A.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression (e+f)/(a-d) = b/a.

To find the equivalent expression:

(e+f)/(a-d) = b/a

Using cross multiplication,

a × (e+f) = b × (a-d)

Simplifying,

a(e+f) = b(a-d).

In order to solve further, we can use the PEMDAS method.

ae + fa = ba - bd.

Therefore, a(e+f) = b(a-d) is an equivalent expression.

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One teacher wants to give each student 13/8 slices of pizza. If the
teacher has 22 slices of pizza, then how many students will she be able to
hand out pizza to?
HELP

Answers

i think its 13.5 jdjdiwiw

Answer:

I think it's 18 students

Step-by-step explanation:

I used division. Hope this helps

Which graph represents this system of equations?
y + 2x = 3
y + 2 = 3x

Answers

Answer:

The options are not given, so i will answer in a general way.

First, we have the system:

y + 2*x = 3

y + 2 = 3*x

To graph this system, the easier way is writing both equations as linear equations, like:

y = -2*x + 3

y = 3*x - 2

Now we just need to graph these two lines in the same coordinate axis.

To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.

For example, for the first equation if we have x = 0, we have:

y = -2*0 + 3

y = 3

Then we have the point (0, 3)

and if x = 1

y = -2*1 + 3 = 1

y = 1

we have the point (1, 1)

Now we only need to graph these points, and draw a line that passes through them.

Once we did this for both lines, the graph we will get will look something like the one above.

And the point where the lines intersect is the solution of the system of equations.

Which is the point (1, 1)

Can someone Help me please ?

Answers

9514 1404 393

Answer:

  1)  c, f

  2) a, e

  3) b, d

Step-by-step explanation:

If you think about the units associated with a coordinate (feet, for example), then you may recognize the following

a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).

__

b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).

__

c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).

Solve the system of equations, y = x – 3 and y = –2x + 6, using the substitution method.
(no answer choices)

Answers

Answer:

x=9

Step-by-step explanation:

-2x+6=x-3

-1x+6=-3

-1x=-9

divide both sides by -1

x=9

hope this helps

Answer:

(3, 0)

Step-by-step explanation:

Given system:

y = x – 3 and y = –2x + 6

Substitute y and solve for x:

x - 3 = -2x + 6x + 2x = 6 + 33x = 9x = 3

Find y:

y = x - 3 = 3 - 3 = 0

Solution is:

(3, 0)

please help me in this homework :)

Answers

Answer:

la distancia que hay entre ellos es de 50+30=80km

Step-by-step explanation:

Norma and Jane go to the store to buy stocking stuffers. Norma spends $8 more than Jane. Total, Norma and Jane spend $52. How much did each girl spend?

Answers

Answer:

Norma spent $30

Jane spent $22

Giovanni started a new job and decided to open a bank account with $10. Each week he will deposit $8 from his pay to the account. Which of the following recursive formulas can be used to model the total amount of money in Giovanni's account?

Answers

Answer:

an=an−1+10, where a1=8

Step-by-step explanation:

it is

Answer:

an=an−1+10 , where a1=8

Step-by-step explanation:

I just took the test and I got it right!! :)

a boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour. what is the rate of the current?

Answers

Answer:

7 or 8 miles per hour

Step-by-step explanation:

The rate of current or velocity of current upriver is 4.5 miles per hour.

What is velocity?

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Let's suppose the velocity or speed of the boat (Velocity in still water ) = V miles/hour

Velocity of current = x miles/hour

Given that,

The boat takes 2 hours to travel 15 miles upriver against the current.

15 miles  in 2 hour

⇒ 7.5 miles/hour

Since it is traveling against the current velocity so

V  - x = 7.5

And V = 12 miles/hour

By substitution,

12 - x = 7.5

x = 12 - 7.5

x = 4.5 miles/hour

Hence "The rate of current or velocity of current upriver is 4.5 miles per hour".

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An employee works 22 days per month. If they work an average of 844 hours per day, how
many hours do they work per month?

Answers

Answer:

the answer is 181 2/4 OR 181 1/2 hours a month.

Step-by-step explanation:

Pretty simple hoped I helped sir or madame

maria and emme each had 4 pints of paint on the first day of painting maria used 3/5 of her 4 pints amd emma used 3/4 of her 4 pints of paint altogether how much of maira and emma paint remained altogether how much of maria and emme paint remained after the first day of painting




HEELLPP ME PLZZZ

Answers

Answer:

[tex]\frac{13}{5}[/tex] pints of paints are left together

Step-by-step explanation:

Given

Number of pints of paint with Maria [tex]= 4[/tex]

Number of pints of paint with Emme [tex]= 4[/tex]

On the first day , Maria used [tex]\frac{3}{5}[/tex] of her [tex]4[/tex] pints of paints

Hence, Paint left after first day with Maria

[tex]= 4 - (\frac{3}{5} * 4)\\= \frac{20 - 12}{5} \\= \frac{8}{5}[/tex]

On the first day , Emme used [tex]\frac{3}{4}[/tex] of her [tex]4[/tex] pints of paints

Hence, Paint left after first day with Emme

[tex]= 4 - (\frac{3}{4} * 4)\\\\= 4-3\\= 1[/tex]

Total pint of paint left with both Maria and emme altogether

[tex]= 1 + \frac{8}{5}\\= \frac{5+8}{5} \\= \frac{13}{5}[/tex]

A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins to leak at a rate of 8 gallons per minute. Find the amount of water in the tank 6 minutes after Baxter begins filling the tank.

Answers

Answer:

Step-by-step explanation:

Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.

Step-by-step explanation:

Linear Equation; Ax+By=C

A linear equation to model this situation:

8x + 55 = C

Where;

8 is for the rate of gallons.

'X' is the minutes.

55 is the gallons of water the tank already contained.

8(25) + 55 = 255

Where;

8 is for the rate of gallons.

25 is the minutes.

55 is the gallons of water the tank already contained.

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