For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
360 degrees
a.
6.28 units clockwise
c.
3.14 units clockwise
b.
6.28 units
d.
3.14 units

Answers

Answer 1

9514 1404 393

Answer:

  b.  6.28 units

Step-by-step explanation:

The travel through 360° takes you around the full circumference of the circle. That circumference is ...

  C = 2πr

Since this is a unit circle, the radius is 1, so the circumference is ...

  C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)

Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.


Related Questions

Solve for the unknown side of each right triangle

Answers

Answer:

x = 4.4 cm

Step-by-step explanation:

Since this is a right triangle, the Pythagorean Theorem applies:  a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.

Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:

x^2 = (6.9 m)^2 - (5.3 m)^2, or

x^2 = 47.61 - 28.09 = 19.52

Then the length, x, of the unknown side is x = +√19.52 m, or

x = 4.4 cm

Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy

Answers

Answer:

4.25+9.75+0.5x≤18

Step-by-step explanation:

4.25+9.75+0.5x≤18

14+0.5x≤18

0.5x≤4

x≤8

She can buy at most 8 packs of crackers.

Hope this helps :)

Fiona can buy maximum 8 number of packages of crackers.

What is subtraction?

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

Given that Fiona has $18 to spend and she spent $4.25 .

Now, she has the money $18 - $4.25 = $ 13.75

And she needs to save $9.75 from rest of the amount.

Therefore, $13.75 - $ 9.75 = $4

Now she has $4 to spend and one packet of crackers cost $0.50.

So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.

Therefore, Fiona can buy maximum 8 number of packages of crackers.

To learn more about the subtraction;

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What is the measure of ABC

Answers

B please mark branliest

Answer:

60°

Step-by-step explanation:

the degrees of a triangle equal up to 180° so 60 + 60 = 120, 180 - 120 = 60

A stadium has 10,500 seat and 8 vip boxess The is divied into 12 equalbsections 2 premuin sections and 10 standred sestion A seat at the premiun sections coast $45 per game.A seat at the standrad sections coast $27 peer game.How many seatsb are there in each section

Answers

Answer:

???????????????????????????????

Step-by-step explanation:

Just a very quick question for any people willing to answer this question.

4 less than the number n is -15.

(Please type equation and solution!)

Answers

Answer:

n=-11

Step-by-step explanation:

n-4=-15

n-4+4=-15+4

n=-11

N-4= 15 N-4+4=15+4 N=19

Your friend solved the equation 4x+12x−6=4(4x+7) and got x=34. What error did your friend make? What is the correct solution?

Answers

Answer:

=34

Step-by-step explanation:

4x+12x-6=4(4x+7) ur question

using BODMAS

4x+12x-6=16x+28

16x-6=16x+28

16x-16x=28+6

0=34

but make sure your question is right, can you go through it again

Jerry eats one-fourth of a pecan pie. Sally eats
one-fifth of the same pie. Rose comes home from
school and eats two-tenths of the same pie. How
much of the pie has been eaten?

Answers

Answer:

13/20  or .65

Step-by-step explanation:

1/4 + 1/5 + 2/10  = Total amount eaten

Find a common denominator  is   20

1/4 =  5/20

1/5 =  4/20

2/10 = 4/20

           13/20

Find the value of y.

Answers

Answer: y=11 y=5 y=4 y=5 y=7 y=3

Step-by-step explanation:yknow

y=11 y=5 y=4 y=5 y=7 y=3 hope this helps!

What is:
a. 2(6x - 4)+3(2x - 3)
b. 5+ (6x + 4)

Answers


A=18x−17
B=6x+9 hope it helps

Find the value of x
[tex]24\%ofx = 90[/tex]

Answers

x=375

Answer:

Solution given:

24% of x=90

or [tex]\frac{24}{100} *x=90[/tex]

[tex]\frac{6*x}{25}=90[/tex]

6x=90*25

6x=2250

x=[tex]\frac{2250}{6}[/tex]

x=375

The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?

Answers

Answer:

A 1152 diapers

Step-by-step explanation:

2dozen is 24, so 24×48=1152

given:

each container= 48 diapers

2 dozen babies

to find:

the amount of diapers needed

solution:

[tex]12 \times 2[/tex]

[tex] = 24[/tex]

[tex]24 \times 48[/tex]

[tex] = 1152[/tex]

hence, 1152 diapers are needed for 2 dozen of babies.

answer= option A

[tex]\sqrt{250} * 810[/tex]

Answers

v250 * 810
15.81 * 810
12807. 22 or 4050v10

13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7

Answers

i think its most its 7 d,

A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami.
Write and solve an equation to show what percent of sandwiches sold were pastrami.
Drag tiles to complete the equation. Tiles may be used once or not at all.
p • __ = 36
plss help

Answers

Answer:

p · 90 = 36

p = 40%, 0.4, 4/10

Step-by-step explanation:

p · 90 = 36

p = 36/90

p = 4/10

p = 40%, or 0.4

-Chetan k

Choose the steeper line,


y=2x+8
or

y=4x+2

Answers

Hello!

y=4x+2 is the steeper line. The bigger the slope, the steeper the line.

Hope it helps!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]SilentNature[/tex]

Louise buys 4 pencils for £1.20. How much does one cost? :)

Answers

Answer:

O.3 pound

Step-by-step explanation:

1.20/4=0.3 pound

Answer:

1.20 divided 4 = 0.3

One pencil costs £0.3

Step-by-step explanation:

Please solve this math problem... I will mark you brainliest

Answers

Answer:

22

Step-by-step explanation:

22x2=44

44+15=59

Answer:

22

Step-by-step explanation:

2x22+15 =59°

hope this helps

if y varies directly as x, and y is 20 when x is 4, what is the value of y when x is 80

Answers

Answer:The equation of that is y=kx

Substitute it in and you get

20=6k

Divide 6 on both sides

k=3 1/3

Then since it asks what is the value of y when x is 24 use k in the equation

y=3 1/3*24

so y=80 is the answer

Step-by-step explanation:

In a sale, the price of a jacket is reduced.
The jacket has a normal price of £52
The jacket has a sale price of £41.60
Work out the percentage reduction in the price of the jacket.

Answers

Percentage reduction = 80%
J

A cloth bag contains a mix of black, white and red balls. Selecting one ball at random, the probability of getting a black ball is 0.2 , while the probability of getting a white ball is 0.5 . (a) Selecting one ball at random, what is the probability of getting a red ball ? (b) If in total there are 5 white balls in the bag, how many black balls are there ? (c) If there are in total 3 red balls in the bag, how many balls are there altogether ?
pls give the way​

Answers

Answer:

a) 0.3

Step-by-step explanation:

The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The probability of getting a black ball is 0.2.

The probability of getting a white ball is 0.5.

(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,

1 - (0.2 + 0.5)

= 0.3

(a) The probability of getting white balls can be written as,

P (white ball) = Number of white balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 5 ÷ 0.5

                                   = 10

Similarly, for black balls it can be written that,

P (black ball) = Number of black balls ÷ Total number of balls

Substitute all the given values to get,

Number of black balls = 10 × 0.2

                                    = 2

(c) When number of red balls are three then,

P (red ball) = Number of red balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 3 ÷ 0.3

                                    = 10.        

Hence, the answers for all the parts are 0.3, 2 and 10 respectively.

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PLEASE HELP I NEED THIS QUESTIONS TO PASS THE CLASS

Answers

Answer:

I : 5x + 7

M: 49x - 20

Y: [tex]x^{2}[/tex] + x + 5

P: 4x + y + 4

L: 2[tex]x^{2}[/tex] + 4x

F: -30x + 33

I: 51x - 65

im very confused on the question attached below....can someone pls explain it with an answer?

Answers

Answer:

There doesnt seem to be a mode

Step-by-step explanation:

The mode is the number that ocurs most in the sequence

EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST

Ooo you’re doing DFM

Answer:
Yes the mode is 8 cm

Answer this and explain please

Answers

Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle , then

8 + 6x = 30 + 4x + 2

8 + 6x = 32 + 4x ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

5.6p-3=-9+2(p+7) in a five step equation.

Answers

Answer:

p=2

Step-by-step explanation:

6p-3=-9+2(p+7)

6p-3=-9+2p+14                       Distributive Property

6p-3=2p+5                              Combine like terms/ Simplify

   +3       +3

━━━━━━

6p=2p+8                                  Addition Property of Equality

-2p  -2p

━━━━━━

4p=8                                         Subtraction Property of Equality

━  ━

4     4

p=4                                            Division Property of Equality

HELP ME I GOT 67 POINTS THAT I WILL GIVE AND ILL GIVE YOU BRAINIST

Answers

Answer:

35.325 in³

Step-by-step explanation:

Since the base of a cylinder is a circle,

area of cylinder= πr²h

Radius, r

= diameter ÷2

= 3 ÷2

= 1.5 inches

Volume of can

= 3.14(1.5)²(5)

= 35.325 in³

35.34
V=3.14x r^2= 35.34292

Can you answer the question and explain it to me simply im just in 5th grade and i dont get it

Answers

Answer:

13/20

Step-by-step explanation:

12/20-4/20+5/20=

8/20+5/20=

13/20

Answer:

[tex] \frac{13}{20} [/tex]

Step-by-step explanation:

Before we can do anything with the fractions, we need to find a common denominator.

To do that, we will first divide 10 by 2 to get a denominator of 5, and whatever we do to the bottom we must do to the top as well. So we will also divide 6 by 2 to get 3.

So 6/10 has now been simplified to 3/5.

Next we can subtract 1/5 from 3/5 since they both share a common denominator of 5, now we have 2/5.

Now in order to find the common denominator of 2/5 and 1/4, we will simply cross multiply the two fractions together like so: (2 × 4 = 8 and 5 × 1 = 5), to get 8/20 and 5/20. So now we can add 8 and 5 normally, since they both share a common denominator now. That's how you get 13/20.

Hope it helps :)

I tried to keep it simple for you.

10 open cylindrical containers are to be painted on the outside, including the base. Each container has a radius of 30 cm and a height of 28 cm.
Given that 150g of paint is needed to paint an area of 1m3, find the amount of paint required to paint the ten cylinders. Give your answer in kg.
please help quick.

Answers

The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.

The formula to determine the total surface area of an open cylinder is given as:

2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =

where: r is the radius, and h is the height of the cylinder.

The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:

Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)

                               = 0.8297

The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].

Total surface area of the ten cylinders = 10 x 0.83

                                                   = 8.3 [tex]m^{2}[/tex]

Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:

x = 8.3 x 150 g

  = 1245 g

x = [tex]\frac{1245}{1000}[/tex]

  = 1.245 Kg

Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.

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4−(−8)= please help i need it now

Answers

Answer:

Step-by-step explanation:

Can someone help!!!!

Answers

Answer:

X = 2/3 and Y = 3

Step-by-step explanation:

Matrix: 3 -1 -1

-3 5 13

Main determinant:

| 3 -1 |

| -3 5| = 12

Dx: |-1 -1|

|13. 5| = 8

X = 8/12 = 2/3

Determinant y:

|3 -1|

|-3 13| = 36

Y = 36/12 = 3

Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.

Answers

Answer:

13 = 81 x - 89

Step-by-step explanation:

Answer:

81x-79

Step-by-step explanation:

I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.

We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.

=(-3x+5)+(7x-7)*12

=(-3x+5)+84x-84

=81x-79

Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)

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