50 pts and brainliest. Is the ratio of arc length to r always equal to pi? What is it equal to?

Please only answer if you know it, this is super important!! If it's right I'll mark you brainliest!

Answers

Answer 1

Answer:

It can sometimes be equal to π. However, it is equal to our central angle.

Step-by-step explanation:

First, recall that arc length is given by:

[tex]s=r\theta[/tex]

Where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.

So, the ratio of the arc length to the radius is:

[tex]\displaystyle \frac{r\theta}{r}[/tex]

The radius r cancels. Hence, we are left with:

[tex]=\theta[/tex]

So, the ratio of the arc length to the radius does not equal π (although it can sometimes if the central angle is π radians (or 180°)). Rather, the ratio is equivalent to the central angle.

So, for example, if we have a circle with radius 7 with a central angle of 3π/2 (this gives us an arc length of 21π/2), then the ratio of the arc length to the radius will be 3π/2 (our central angle).

Answer 2

Answer:

Sometimes it can be equal to π. It is equal to our central angle.

Step-by-step explanation:

Recalling arc length is given by:

Where s is the arc length, r is the radius, and θ is the central angle of the arc in radians.

So, the ratio of the arc length to the radius is:

rθ/θ

The radius r cancels. Hence, we are left with:

= θ


Related Questions

help please :))))))))))))

Answers

Answer:

220

Step-by-step explanation: You just do inverse operation 55x4=220, check 220/4=55.

Answer:

x=220

Step-by-step explanation:

x /4 =55

Step 1: Multiply both sides by 4.

x/ 4  =55 ( x 4 )*(4)=(55)*(4)

x=220

Nina's Produce has 2.4 ton of potatoes to sell at the farmer's marquet. By noon they have sold half of their inventory. How many pounds of potatoes do they still have left to sell?

Answers

They still have 2400 pounds of potatoes left to sell

Answer:

they 2400 left to sell ..

Which of the following is NOT a method to solve systems?
a) Elimination
b) Difference of Squares
c) Substitution
d) Graphing

Answers

B because not all sums need difference of squares

Urgent help needed please

Answers

Answer:

x = 8[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the Altitude- on - Hypotenuse theorem

(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse )

x² = 16 × (16 + 4) = 16 × 20 = 320 ( take square root of both sides )

x = [tex]\sqrt{320}[/tex] = [tex]\sqrt{64(5)}[/tex] = 8[tex]\sqrt{5}[/tex]


A swimming pool containing 5,000 gallons of water drains at a rate of 12 gallons per minute. How many gallons remain, y after x minutes?
Y=

Answers

Answer:

y= -12x + 5000

what is 19 half of??

Answers

Answer:

19 is half of 38

Step-by-step explanation:

19*2=38

38/2=19

Answer:half of 38

Cs I know

A dog weighs 20% more than it did three months ago. It weighs 36 pounds now.

How much did the dog weigh three months ago?

Answers

Answer:

30 pounds

Step-by-step explanation:

Let the weight 3 month ago be x.

20% more than x is:

1.2x

We now have the following equation:

1.2x = 36x = 36/1.2x = 30 pounds

Let x be the speed of Aro’s paddling and let y be the speed of the river.

Upstream: 1.04 = x – y

Downstream: 2.08 = x + y



Aro can paddle at a speed of
miles per hour.



The river’s speed is
miles per hour.

Answers

Answer:

Aro can paddle at a speed of 1.56 miles per hour.

The river’s speed is 0.52 miles per hour.

Step-by-step explanation:

trust

The solution of the given system of equation x - y = 1.04 and x + y = 2.08 are x = 1.56 and y = 0.52 thus Aro can paddle at a speed of miles per hour is 1.56 and The river’s speed in miles per hour 0.52.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given,

x = speed of Aro

y = speed of River

x - y = 1.04

x + y = 2.08

Add both equations,

2x = 3.12

x = 1.56

And, y = 1.56 - 1.04 = 0.52

Hence "The solution of the given system of the equation x - y = 1.04 and x + y = 2.08 are x = 1.56 and y = 0.52 thus Aro can paddle at a speed of miles per hour is 1.56 and The river’s speed in miles per hour 0.52".

For more about the equation,

brainly.com/question/10413253

#SPJ2

The diagonal length of a rectangle is 25 inches, and the length of the rectangle is 9 inches.

Which measurement is closest to the width of this rectangle in inches?
A) 15.8
B) 16
C) 23.3
D) 34

Answers

Sorry if I'm too late but the answer is 23.3

Answer:

its C 23.3

Step-by-step explanation:

Name each polygon. Then tell if it's regular or not regular.​

Answers

Answer:

square regular octogon regular .16. trapizoid

Step-by-step explanation:

- 2
7
1
2
One of the tables shows a proportional relationship.
Graph the line representing the proportional relationship from this table.
+ Move Line Segment Ray
Undo - Redo x Reset
y
2
4
x
- 2
1
2
10
- 1 -2
y
-4
3
4
x
-2
1
2
y
-2
2
4
-105
2
19
10
x
1
2
- 2 -4
- 1 -2
y
N
8
:

Answers

Answer:

7 to -2 and 4 to 1

Step-by-step explanation:

20. What is the value of y in the algebraic
expression below?
(y+4)÷15+(2y-5)÷5=⅖
A.3⁴/7
B.3
C.3²/7
D.2³/7
guys sorry but I can't type y plus four out of fifteen so I used division so I hope it won't be difficult and the same to the other the quiz is actually y+4 out of fifteen plus 2y-5 out of 5 =⅖​

Answers

Answer: 17/7

Step-by-step explanation: Step 1: Simplify both sides of the equation. y+4/15 + 2y−5/5 = 2/5 1/15 y+ 4/15 + 2/5 y+−1= 2/5 (Distribute) ( 1/15 y+ 2/5 y)+( 4/15 +−1)= 2/5 (Combine Like Terms) 7/15 y+ −11/15 = 2/5 7/15 y+ −11/15 = 2/5 Step 2: Add 11/15 to both sides. 7/15 y+ −11/15 + 11/15 = 2/5 + 11/15 7 15 y= 17/15

Asher opened a savings account by making initial deposits and setting up weekly automatic deposits as shown in the graph . How much was Asher's initial deposit ?

Answers

Answer:

yes

Step-by-step explanation:

yes

You need to show the graph










4.28 ounces - 4.82 ounces-2.85 ounces

Answers

Answer:

-3.39 is your answer

Step-by-step explanation:

Apples come in bags of 4. Oranges come in bags of 6.

What is the least number of bags of each you have to buy to have the same number of apples and oranges?

Drag and drop the answer into the box to complete the statement.



You need to buy Response area bags of apples and Response area bags of oranges.

Answers

Answer: Apples come in bags of 4. Oranges come in bags of 6.

so it going to be Multiple 4x6=24 I explain it, is this how you want it

Step-by-step explanation: hope this help

Number of apple bags = 3 bags

Number of orange bags = 2 bags

This deals with least common factors.

Now, we are told that;

Number of apples per bag = 4

Number of oranges per bag = 6

To find the least number of bags of each that will make us have same number of apples and oranges, we need to find the least common factor of 4 and 6.

Factors of 4; 1, 2, 4

Factors of 6; 1, 2, 3, 6

LCM = 2 × 2 × 3 = 12

Since Number of apples per bag = 4

Number of oranges per bag = 6

Thus;

Number of apple bags = 12/4 = 3 bags

Number of orange bags = 12/6 = 2 bags

Read more at; brainly.com/question/4853862

Help ASAP here’s a picture too

Answers

Answer:

B

Step-by-step explanation:

Answer:B

Step-by-step explanation:

6th grade math help me please !

Answers

Answer:

Step-by-step explanation:

ok put them in the order i say them

true

true

false

true

false

Answer: The answers are

True

True

False

True

False

Step-by-step explanation:

Solve 4 y = 18 . PPPPPPPPLLLLLLLLZZZZZZZZZZ

Answers

Answer:

y=4.5

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

18/4=4.5

Answer:

Exact form= 9/2

Decimal form = 4.5

Mixed number form = 4 1/2

Hopes this helps UwU

Sandy has 16 roses, 4 daisies, and 20 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

Answers

Answer:

4 flowers

Step-by-step explanation:

Sandy has 16 roses, 4 daisies, and 20 tulips.

We find the factors of 4, 16 and 20

The factors of 4 are: 1, 2, 4

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4.

Therefore, the greatest number of flowers that could be in a bouquet is 4 flowers

What is the product of 5x and x2
2x +1?

Answers

25 ( if ur talking about normal math)

The population of bloomington is 2.4times 10^6 while the population of Smallville Is 12,000. How many times greater is the population of Bloomington than Smallville. Show in standard notation form.

Answers

Answer:

2 * 10^2 times

Step-by-step explanation:

Given:

Population of Bloomington = 2.4 * 10^6

Population of Smallville = 12000

How many times greater is the population of Bloomington than Smallville ;

Population of Bloomington / Population of Smallville

2.4 * 10^6 / 12000

2.4 * 10^6 / 1.2 * 10^4

= 2 * 10^(6 - 4)

= 2 * 10^2

= 2 * 10^2 times

Which of the expressions are equivalent to the one below? Check all that apply. 13. (11 + 5)​

Answers

Answer: 11+5=16

Step-by-step explanation: 14, 15, 16, 17 and 18

Answer:

Step-by-step explanation:

Write the equation of the line in fully simplified slope intercept form

Answers

Answer:

y = -x + 6

Step-by-step explanation:

Slope is -1 y-intercept is 6

Which expressions are linear factors of the polynomial? Choose all that apply.

x^3 + 2x^2 - 5x - 6

x - 2
x + 3
x - 1
x + 1

Answers

X + 1, x-2, x+3
Can you mark brainliest please

Step-by-step explanation:

The answer is x+1 x-2 x+3

8. In a game, a player must spin a spinner and roll a number cube. The spinner has four congruent sections and the sections are labeled 1, 2, 3, and 4. The number cube has six congruent faces and the faces are labeled 1, 2, 3, 4, 5, and 6. What is the probability of a player spinning a 4 and then rolling a 4?

Answers

Answer:

1/4 //// 1/6

its out of four and then 6

If two out of every three balls in a multi color package is pink how many balls in a package of 21 balls will be pink

Answers

Answer:

14 balls will be pink out of 21 balls.

Step-by-step explanation:

Given that:

2 out of every 3 balls are pink in a multi color package.

Ratio of pink balls to balls drawn = 2:3

Number of balls in package = 21 balls

Number of pink balls = x

Ratio = x:21

This is a proportional relationship

2 : 3 :: x : 21

Product of mean = Product of extreme

3x = 21*2

3x = 42

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{42}{3}\\x=14[/tex]

Hence,

14 balls will be pink out of 21 balls.

someone plz answer this plz do not use the internet

What role do you think technology has played in the evolution of music?

Answers

Answer:

it has created new trends and a whole new pop culture in the new generation

Step-by-step explanation:

Has Inspired So Much People To Become Artists And Is Scientifically Proven To Reduce Anxiety And Been Proven To Help While Doing School Work

A phone plan charges 15.95 per month and o.10 for every minute,m,m that the phone is used. Mr. kordemsky wants his phone bill for the month to be less than 40 ​

Answers

If your asking about the max amount of minutes he can have in the month without going over 40$ then the answer is 240.

40-15.95= 24.05
24.05/.10= 240.5
Since it has to be a whole minute then it would be 240

Please help!! Solve for X

Answers

the answer would be 27 1/2

Answer:

[tex]7 - \frac{10}{x} = 2 + \frac{15}{x} \\ \frac{10}{x} + \frac{15}{x} = 7 - 2 \\ \frac{(10 + 15)}{x} = 5 \\ \frac{25}{x} = 5 \\ x = \frac{25}{5} \\ \boxed{x = 5}[/tex]

x=5 is the right answer.

what is the distance from (-5,4) to (3,-2) ​

Answers

What is the minimum value of of the function below y = 2x2 – 8x + 11 O y=-3 O y = 2 O y = 3 O y = 11

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