an intercepted arc has a length of 19 yards. If the radius is 4 yards, find the measure of the central angle in radians and degrees.

Answers

Answer 1

Answer:

[tex]s=r\theta\\\theta=s/r\\\theta=19/4\\\theta=4.75[/tex]

Step-by-step explanation:

There is a formula that relates the arc length of a circle of radius, r, to the central angle, [tex]\theta[/tex] in radians.

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


Related Questions

Beck uses 25 robux to buy 3 spins on a game she likes, she spends 8 thousand robux to finally roll a good item.How much spins did she get?

Answers

Answer:

960

Step-by-step explanation:

8000/25 = 320

320 • 3 = 960

The answer is 960 :)

Convert decimal to a mixed number: 10.5 =

Help please

Answers

The answer would be 10 1/2

What are the zeros of x (3 - 18x) = 0 ?

Answers

Answer:

x=3⋅±  2

​  

=±4.2426

x=0

Step-by-step explanation:

definition of the difference quotient of a function

Answers

Answer:

Step-by-step explanation:

The difference quotient is a measure of the average rate of change of the function over an interval (in this case, an interval of length h). The limit of the difference quotient (i.e., the derivative) is thus the instantaneous rate of change.

Please help on this I’m confused

Answers

Answer:

Side A is 7

Side B is 15

Step-by-step explanation:

While I was walking to schoed this morning I saw 2 ants and 2 butterflies.
My teacher taught me that an insect has 6 legs. Ants one butterflies are
both intects! How many legs were there all together?

Answers

Answer:

it would me 24 legs

Step-by-step explanation:

hope that helps

They are 24 legs in total

Determine whether each relationship below is true or false.

Answers

Answer:

1. True

2. False

3. True

4. False

5. True

Step-by-step explanation:

For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3 and 2/3 is greater than 1/3.

For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.

For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25 and see which is larger.

For 4, you want to see if you can simplify any of them. 2/4 can be simplifed to 1/2. So, it is false because you can see that 2/4 is the same as 1/2

For 5, you want to divide both fractions by 2, so 4/10 would be 2/5 and 4/6 would be 2/3. So it is true.

The answers for the given expressions are given below,

1. True

2. False

3. True

4. False

5. True

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3, and 2/3 is greater than 1/3.

For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.

For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25, and see which is larger.

For 4, you want to see if you can simplify any of them. 2/4 can be simplified to 1/2. So, it is false because you can see that 2/4 is the same as 1/2

For 5, you want to divide both fractions by 2, so 4/10 would be 2/5, and 4/6 would be 2/3. So it is true.

To know more about an expression follow

https://brainly.com/question/13780981

#SPJ2

• Number of psychology textbooks sold: The number is not correct
A textbook store sold a combined total of 334 biology and psychology textbooks in a week. The number of biology textbooks sold was 84 more than the number
of psychology textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

209 biology books and 125 psychology books were sold.

Step-by-step explanation:

x = biology books y = psychology books

334 = x + y

x = y + 84

x - y = 84

y = x - 84

Using these systems of equations, we can see that (209,125) is the only possible answer. Elimination, substitution, or guess and check are all viable methods to solve this problem. I can explain further if needed! :)

Find the area of the figure. (Sides meet at right angles.)
9 in
in
5 in
B in
4 in

Answers

Answer:

48 in²

Step-by-step explanation:

A1 = 9 x 4 = 36

A1 = 4 x 3 = 12

Total = 36 + 12

        = 48 in²

The sum of three consecutive integers is 42. Determine the value of the smallest
integer.

Answers

Answer:

13.

Step-by-step explanation:

[tex]42 = a + (a+1) + (a+2) = 3a + 3 = 3(a+1)[/tex]

Then, [tex]a+1 = 14[/tex], so [tex]a=13.[/tex]

A dance floor is in the shape of a rectangle.
It is 27 meters long and 16 meters wide.
What is its perimeter?

Answers

Answer:

86 meters

Step-by-step explanation:

27+27+16+16=54+32=86 meters

<1 and <2 are supplementary, so one of the angles is acute,

Find one counterexample to show that each conjecture is false.

Answers

Answer:

make each of the supplementary angles 90, then they are equal.                                                                                                                                                                                                                                                                                                                  

Step-by-step explanation:

Find the distance between the points (3, 2) and (15,-3).

Answers

(12,1) would be the new points so count from there!

What is X- y= 3 in a graph

Answers

Answer:

You must first put the equation into slope-intercept form (y = mx + b). To do this, subtract x from both sides to isolate y. Then, since y will be negative, divide each side by -1, resulting in y = x - 3. Since a 1 is understood to be in front of the x, the slope is 1

How to graph:

x-0 y- -3 or (0,-3)

x- 3 y-0 or (3,0)

If you graph these points you should get your graph

If the expression 4x+3 is equal to 1 to the same value of x, what is the expression 4x+8 equal to for the same value of x?

Answers

Answer:

6

Step-by-step explanation:

4x + 3 = 1

4x =-2

x = -1/2 so 4x +8 =4(-1/2) +8=6

please gyus help me out ..... urgent need......for 20 points please gyus answer it .....​

Answers

Answer:

I wish I could help you but i have not learn yhat yet. so sorrry :( pleaser forgive jme....... please i beg u plase

Step-by-step explanation:

Find the graph that matches the equation below.
y=-1/3x-1

Answers

Answer:

A

Step-by-step explanation:

Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds. The old fish tank holds 20 gallons of water. How many gallons of water should her new fish tank hold? O A. A. 15 gallons B. 35 gallons OC. 60 gallons D. 80 gallons E. 95 gallons​

Answers

Answer:

b

Step-by-step explanation:

75 percent of 20 is 15 and 100 percent of 20 is 20

The number of gallons of water should her new fish tank hold is to be considered as the option b. 35 gallons.

Calculation of the number of gallons:

Since

Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds.

The old fish tank holds 20 gallons of water.

So we can say that

= 75% of 20 + 100% of 20

= 15 + 20

= 35

Hence, the option b is correct.

Learn more about number here: https://brainly.com/question/18084805

Zeke's birthday party will cost $6 if he invites 3 guests. If there are 8 guests,
how much will Zeke's birthday party cost? Assume the relationship is
directly proportional. *

Answers

If Zeke invites 8 guests, his party will cost $16. Its $2 per guest

Consider the reflection of angle abc across the line of reflection pt

Answers

Answer:

bro are you talking about some picture

Step-by-step explanation:

You took a trip to the mountains and traveled 486.It took you 9 hours and 18 gallons of gas to make the trip. The total cost you paid for was $59.94

Answers

Answer:

Average speed on the trip (54 miles per gallon)

Car mileage on trip was 27 miles per gallon

Unit price of gas paid ( $3.33)

Step-by-step explanation:

4. The cost of a long-distance telephone call is $.50 for making the call and $.10 per minute. What is the slope? What does it represent?

Answers

$$$$$$$$$$$$$$$$$$$$$$$$$$

This situation can be represented by y=.10x+.50
Therefore the slope is .10
This means that for every minute, the caller is charge .10, and the base rate of .50

A statistics student at a small liberal arts college who is curious about the relationship between the amount of time students at his college spend on social networking sites and their performance at school decides to conduct a survey. Four research strategies for collecting data are described below. In each, name the sampling method proposed and any bias you might expect. Strategy 1: He obtains a list of the 1500 students at the college. He chooses a random number k between 1 and 15 and then samples that person and every kth person on the list. He emails the survey to each of the people in the sample and asks them to complete it by next Friday
1. What is the sampling method?
A. Simple random sampling
B. Convenience sampling
C. Cluster sampling
D. Systematic sampling
E. Stratified sampling
2. What type of bias would you expect? (check all that apply)
A. No bias in this survey
B. Response bias
C. Selection bias
D. Nonresponse bias Strategy
2: He gives out the survey only to his friends, and makes sure each one of them fills out the survey
3. What is the sampling method?
A. Simple random sampling
B. Convenience sampling
C. Cluster sampling
D. Systematic sampling
E. Stratified sampling
4. What type of bias would you expect? (check all that apply)
A. Selection bias
B. Nonresponse bias
C. No bias in this survey
D. Response bias Strategy
3: He randomly chooses 3 floors of the largest dorm on campus and distributes a paper survey to each resident on those floors. He places a box in the common room of the dorm to collect the completed surveys
5. What is the sampling m ethod?
A. Stratified sampling
B. Cluster sampling
C. Simple random sampling
D. Convenience sampling
E. Systematic sampling
6. What type of bias would you expect? (check all that apply)
A. Response bias
B. Nonresponse bias
C. No bias in this survey
D. Selection blas
7. Which strategy will give him the most representative sample of students at his college?
A. Strategy 1
B. Strategy 2
C. Strategy 3

Answers

Answer:

Strategy 1:

I) D: Systematic Sampling

II) D: non - response bias.

Strategy 2:

I) B: Convenience Sampling

II) A: Selective bias

Strategy 3:

I) B: Cluster Sampling

II) B: non - response bias.

7) A: Strategy 1

Step-by-step explanation:

For Strategy 1,

I) the sampling method is systematic sampling. This is because Systematic sampling is a kind of method for probability sampling whereby sample members from a larger population will be selected according to a random starting point but it will be for a fixed or periodic interval.

Now, we were told that he chooses a random number k between 1 and 15 and then samples that person and every kth person on the list. This corresponds to a random starting point as shown in systematic sampling above.

We are also told that he emails the survey to each of the people in the sample and asks them to complete it by next Friday. This corresponds to a fixed time interval in the definition too. Thus, it is proven to be systematic sampling.

II) The bias here will be Nonresponse bias Strategy. This is because all the students may not respond to the survey as it is possible that the students may forget to fill the survey or may ignore it or may be too busy to reply. Thus, it is a non - response bias.

For Strategy 2: He gives out the survey only to his friends, and makes sure each one of them fills out the survey

I) The sampling method here is convenience sampling which can be defined as a sampling method where the sampling units are selected in line with how convenient it is for the researcher. In this case he has given it to only his friends and made sure they filled. Which means he did it with a convenience bias.

II) Because he gave it to only his friends, he may not have a true reflection of the research as it was inky his friends instead of being random where he can have diverse views that can truly represent the population. Thus, it is a selection bias.

For strategy 3;He randomly chooses 3 floors of the largest dorm on campus and distributes a paper survey to each resident on those floors. He places a box in the common room of the dorm to collect the completed surveys.

I) The type of sampling used here is cluster sampling which is defined as a sampling method where the population is divided into clusters and random sample picked from each cluster. In this case, the population has been divided into 3 floors and he randomly distributed to residents on each of those floors. Thus, it is an example of Cluster sampling

II) The bias here will be non - response bias because the could choose not to respond to the paper survey for various reasons and thus not all will respond. This leads to a non - response bias.

7) Strategy 1 will give the most representative sample of students at his college because he selected from the entire list of 1500 students.

$182 at 6% simple interest for 4 years.
Find the interest earned on the account​

Answers

The interest is $43.68

Simplify

3(5x + 4y) + 6(y - 2x)

Answers

Answer:

3x+18y

Step-by-step explanation:

Distribute into 15x+12y+6y-12x then add like terms.

Which of the following functions is graphed below?

Answers

The second answer, B
It’s the second one It’s b


Please help me I need it right now

Answers

Answer: x = 4

Step-by-step explanation:

The cube root of 64 is 4

Answer: x=4

Step-by-step explanation:

4x4=16. 16x4=64

Can two distinct lines intersect in more than one point?

Answers

No because like if two distinct lines can intersect in no more than one point

formula for calculating average speed

Answers

The most common formula for average speed is distance traveled divided by time taken. The other formula, if you have the initial and final speed, add the two together, and divide by 2

WILL MARK BRAINLIEST Find the value of x in each case:

c

L, M ∈

KN

Answers

Step-by-step explanation:

The sum of interior angles of a triangle is 180 degree

x + (180 - 3x ) + ( 180 - 2x - 72 ) = 180

x + 3x - 2x + 360 - 72 = 180

2x + 288 = 180

2x = 108

x = 54

L = 180 - 3x = 180 - 54*3 = 18

x + L + M = 180

54+18+M = 180

M = 108

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