If an angle cuts out an arc length of a circle AND the arc length is SHORTER than the
radius, what is true about the angle?

it is less than pi radians
it equals pi radians
it is greater than pi radians

Answers

Answer 1

We want to study the angle of an arc given that the length of the said arc is smaller than the radius of the circle.

The correct option is:

"it is less than pi radians"

A circle of radius R has a circumference:

C = 2*pi*R

An arc defined by an angle θ has a length:

L = θ*R

Now, we know that the length of the arc is smaller than the radius, then we have:

θ*R < R

Dividing both sides by R we get:

θ < 1

So we can see that the correct option is:

"it is less than pi radians"

Because it is smaller than 1.

If you want to learn more, you can read:

https://brainly.com/question/15227228


Related Questions

Write an equation in slope intercept form for the line with slope - 3/4 and y-intercept -2. Then graph the line.

Answers

Answer:

y = (-3/4)x - 2

Step-by-step explanation:

Start with the slope-intercept form y = mx + b.  Replace m with -3/4 and y with -2.  We then have y = (-3/4)x - 2.

Graphing this line:  Knowing that b = -2, plot the point (0, -2).  Find the x-intercept by letting y = 0 in the above equation and solving for x:

0 = (-3/4)x - 2, or (3/4)x = -2, or x = (4/3)(-2), or x = -8/3.  Plot this x-intercept (-8/3, 0).  Finally, draw a line through the points (0, -2) and (-8/3, 0).



Challenge You buy 3.18 pounds of apples, 1.25 pounds of peaches, and 1.76 pounds of pears.
What is your total bill

Answers

Answer:

6.19

Step-by-step explanation:

I hope this helps you

PLEASE HELP I KEEP GETTING IT WRONG

Answers

Answer:

[tex]-2\dfrac{3}{5};\dfrac{-9}{4};1.2;\dfrac{7}{4}[/tex]

Step-by-step explanation:

[tex]1.2 , -2\dfrac{3}{5},\dfrac{-9}{4},\dfrac{7}{4}\\\\1.2 ; -2.6 ; -2.25 ; 1.75\\Least \ to \ greatest\\\\-2.6 ; -2.25 ; 1.2 ; 1.75\\\\-2\dfrac{3}{5};\dfrac{-9}{4};1.2;\dfrac{7}{4}[/tex]

What number has 6 hundred thousands, 9 ten thousands, 7 thousands, 6 hundreds, 5 tens, and 2 ones?

Answers

Answer:

697,652

Step-by-step explanation:

Hope this helps! :0

Answer:

697,652

600,000 + 90,000 + 7,000 + 600 + 50 +2 = 697,652

Thats how I sometimes look at it.

A isotope has a Half life of 1000 years. If you start with 1 kilogram of this isotope how much will remain after 400 years? 4000 years?

Answers

Answer:If you begin with a 1 gram sample of the isotope, at the end of 1000 years you would have. 1 gram x (12) = 12 gram would remain.

Step-by-step explanation:

Hello!!! what is 365 - 287?
FIRST TO ANSWER GETS BRAINLIEST!!!
NO LINKS PRETTY PRETTY PLEASE!!
THANKS!!

Answers

Answer

78

Step-by-step explanation:

365- 287 is 78

365-287=78

Thats the answer

1,000 is 1/10 of what??

Answers

10000, 1,000*10= 10000

When f ( x ) = x 2 + 4 x + 2 , evaluate f ( − 4 )

Answers

Answer:

-22

Step-by-step explanation:

solve this equation by plugging -4 into x in the equation.

your new equation will look like

f(-4) = (-4)2 + 4(-4) + 2

solve the right side of the equation to get your answer of -22

How to simplify 5 to the 5th power and 5 to the 8th power

Answers

Answer:

(1/3)^3

Step-by-step explanation:

5^5-8 = 5^-3 (5 to the -3)

= 1/5^3

Which statement is true?

A) A trapezoid can never have a right angle.
B) A parallelogram can never have a right angle. C) A rhombus is a type of trapezoid
D) A square is a type of parallelogram.​

Answers

Answer:

C

Step-by-step explanation:

A rhombus is a type of trapezoid.

D is the answer to the question

An appliance store decreases the price of a 19 inch television set 21% to a sale price of $475.19. What was the original price

Answers

Answer:

The original price of the TV was $609.51

Step-by-step explanation:

100% - 21% = 79%

Now the question were really asking here is "475.19 is 79% of what?"

475.19 = 0.79 * x

To get x we must take 475.19 and divide by 0.79, which is about 601.51

The original price of the TV was $609.51

Please mark brainliest if possible, have a nice day!

what is this please help

Answers

Answer:

Absolute value means how far are you from zero on the number line.

absolute value of | -18| for example is 18  

this means that you are at -18 on the number line that is 18 points away from zero.

and absolute value of |18 | is 18

this means that you are at point 18 on the positive direction on the number line. That is 18 points away from zero.

Step-by-step explanation:

solve pls brainliest

Answers

Step-by-step explanation:

-35+13=-22

61-(-17)==78

.......................

What is the take home percent of the gross pay for these details? Net Pay $2,764.93 Gross Pay $4,105 Round to the nearest percent.


answers


35% 42% 58% 67%​

Answers

your answer is 67% because you divide net pay by the gross pay and then multiply that number by 100 to get take home percentage

24 inches to 4 feet in simplest form

Answers

Answer:

[tex]\dfrac{1}{2}[/tex]

Answer:

1/2 is the answer, i hope it helps

Mom is planting a rose garden in the backyard. The scale drawing shows the garden. What is the
actual width and length of the rose garden?
8.5 in
2.5 in
Scale: 0.5 in = 2 ft

Answers

boiii is coming out to get my mom and

The perimeter of a rectangle is 48 inches. If the length is 2 more than the width, what is the length and width?

Only an algebraic solution is accepted

Answers

Answers:

Length = 13 inches

Width = 11 inches

=====================================================

Work Shown:

w = width, some positive number

w+2 = length, since it is 2 inches more than the width

P = perimeter of the rectangle

P = 2(width + length)

P = 2(w + w+2)

P = 2(2w+2)

P = 4w+4

We're told that the perimeter is 48 inches. So we'll set the previous result equal to 48 and solve for w.

P = 48

4w+4 = 48

4w = 48-4

4w = 44

w = 44/4

w = 11

The width is 11 inches.

w+2 = 11+2 = 13

The length is 13 inches.

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

Checking the answers:

P = 2(L+W)

P = 2(13+11)

P = 2(24)

P = 48

The answers are confirmed.

2L + 2W = 48

L + W = 24

(W + 7) + W = 24

W = 8.5 inches

L = 15.5 inches

hey help me thank you.?

Answers

7/9 < 5/6

We find the LCM of 9 and 6 which is 18.

For the first fraction, 6 multiplied by 3 is 18 so we multiply both the numerator and denominator by 3 to get:

5/6 = 5*3/6*3 = 15/18

For the second fraction, 9 multiplied by 2 is 18 so we multiply both the numerator and denominator by 2 to get:

7/9 = 7*2/9*2 = 14/18

We can see that 5/6 is greater than 7/9.

7/9=14/18. 5/6=15/18

7/9 <. 5/6

mentaly multiply 9 by 13

Answers

Answer:

117

Step-by-step explanation:

10*9=90

3*9=27

90+27=117

This is a easy method to do multipication in mind

A laptop has a listed price of $549.98 before tax. If the sales tax rate 9.5%, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary

Answers

Answer:$602.23

Step-by-step explanation:

549.98*9.5(.095)=52.248>round nearest cent =52.25

549.98+52.25(tax)= $602.23

Add the linear expressions.

(−2x+6−x)+(6x−2)

What is the sum?

Enter your answer in the box.
PLZ HELP!!

Answers

Answer:

3x+4 I think

Step-by-step explanation:

mathaway minus the second a

Answer:

3x+4

Step-by-step explanation:

k12 test

plz help with these 2 thank you

Answers

Answer:

1 find the value of x graph. i thinks x is 5-3

2 cant help you there.

Step-by-step explanation:

9514 1404 393

Answer:

x = 9/2x = 5

Step-by-step explanation:

1. Substitute for k(x) and solve.

  k(x) = 6x -12

  15 = 6x -12 . . . . substitute for k(x)

  27 = 6x . . . . . . add 12

  27/6 = x = 9/2 = 4 1/2 . . . . . divide by 6

__

2. Find f(x) = 7 on the vertical scale. Follow that horizontal line over to the graph. Follow the vertical line at that intersection down to the x-axis. It will be halfway between the lines marked 4 and 6. That is, the x-value is 5.

  f(x) = 7 = f(5)

  x = 5

pls help me asap!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Carla reads 36 pages in 3 hours. At this
rate, how long will it take Carla to read a
book with 180 pages?

Answers

180/36 is 5 so 5 times 3=15

Answer:

It will take 15 hours to read a book with 180 pages

Step-by-step explanation:

First, let's set up a ratio to find how many pages she reads per hour:

36:3 = 12:1

Now we can set up fractions to solve:

[tex]\frac{12}{1} =\frac{180}{x}[/tex]

Cross multiply:

[tex]12x=180[/tex]

Divide each side by 12:

[tex]x=15[/tex]

Solve for x

1.) 15.8
2.) 18.2
3.) 48
4.) 17.6​

Answers

Answer:

90+5x+7x+3x+6=360

15x=354-90

15x=264

x=17.6

How many kilometers per minute 26.5 miles in 2.65 hours is

Answers

Answer:

Step-by-step explanation:2.25 miles per hour = 3.621 kilometers per hour

Formula: multiply the value in miles per hour by the conversion factor '1.609344'.

So, 2.25 miles per hour = 2.25 × 1.609344 = 3.621024 kilometers per hour.

Gray Co. issued $51,000 of 60% bonds at 103 1/2

Answers

well 60% of 51,000 is 30,600 i wasn’t sure what the question was tho lol

what would be the first step to solve for n in the equation 3n-7=30?

Answers

The first step would be to add 7 to both sides.
3n-7=30
add 7
3n=37
divide by 3
n=12.33

Answer:

n = 37/3

Step-by-step explanation:

3n = 30 +7

3n = 37

n = 37/3

How many total hours does a grocery clerk work if he works 2 hours and 15 minutes in the morning and 4 hours and 15 minutes in the afternoon.

Answers

Answer:

6 hours 30 minutes

Step-by-step explanation:

Can u answer this question

Answers

Answer:

I agree with orignial

Step-by-step explanation:

1/4+1/4=1/2

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