A circle has a radius of 13cm . Find the radian measure of the central angle 0 that intercepts an arc of length8cm . Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

Answer 1

Answer:

The measure of the center angle is 0.6 radians

Step-by-step explanation:

Mathematically, the length of an arc can be calculated using;

L = theta/360 * 2 * pi * r

where theta is the central angle

In this case, theta = ? , pi = 22/7 and r is 13

cm, length of arc is 8 cm

So we have ;

8 = theta/360 * 2 * pi * 13

360 * 7 * 8 = theta * 2 * 22 * 13

20,160 = 572 theta

theta = 20,160/572

theta = 35.24

let us convert this to radian measure

Mathematically, 1 degree = 0.0175 radian

Thus 35.24 degrees will be 35.24 * 0.0175 = 0.62 radians

To the nearest tenth, this is 0.6 radians


Related Questions

48% = StartFraction 48 Over 100 EndFraction = StartFraction a Over 25 EndFraction

a =

Answers

Answer:

12 over 25

Step-by-step explanation:

48 over 100 = 12 over 25

The Equestrian club has 10 members. if the club wants to select a president, vice president, rodeo clown, and a secretary, how many ways can this be done?

Answers

Answer:

Many ways.

They can vote on it.

They can elect a council that will choose all the positions.

One person can just declare himself a position.

PLEASE SOMEONE I NEED IT ASAP DUE AT 6:30!!!
Someone please....
Please define the following terms:

mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.

Answers

Answer:

Mercantilism - trading or selling various of goods or products for commission

import - to bring goods in form another source/place

export - send goods to another coutry for money or other items

enumerated article - english colonies could export only to England in the 17th century were sugar, tobacco, cotton and indigo (types of goods)

Navigation Acts - An act that allowed ONLY english ships to bring goods into England, and let north American export their items to England

Dominion of New England - A bunch of England colonies made by king James II of England in 1686 used to tighten British administration of their colonies.

English Bill of Rights - A act that was signed by the law used to ultimately give the parliament power over the monarchy  

Why is the distributive property important in solving equations?

Answers

Distributive property allows us to simplify equations and make it easier to simplify unknown variables

Answer:

it helps simplify difficult problems . it breaks down expressions into the difference or the sum

of two numbers.

what fraction is equal to 4.5

Answers

Answer:

9/2

Step-by-step explanation:

in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...

we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...

now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2

since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4

now we need to find the remaining 1/2

this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)

Since 9/2 cannot be simplified any further... it is our final answer

Help!!!! I don't get this!!!!!!

Answers

Answer:

C

Step-by-step explanation:

One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16,   the amount of ounces in one pound.

It’s C

Because if you see you I searched it up and it said that the answer was C simple

(39×5) to siplifiy please help

Answers

Answer:

195

Step-by-step explanation:

you just muliply

Answer:

The answer is 175! :)

I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))

Step-by-step explanation:

The sum of a first and second number is 130. If the second number is 20 less than four times the first number, find the two numbers. Let x represent the first number and y represent the second number.

Write the System of Equations used to solve this problem.

Answers

Use this equation to solve for the first number 130=4x-20 and then subtract that answer to get from 130 to get the second number. Im sorry im not sure what system of equations is hopefully this helped

The system of equations used to solve this problem are: x+y=130 and

y=20-4x. For this system x=-110/3 and y=500/3.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You should convert the text into a math expression:

x+y=130 (1)

y=20-4x  (2)

Thus, you should replace the value of y given in equation 2, into equation 1. The,

x+20-4x=130

-3x=130-20

3x=-110

x= - 110/3

Therefore, y will be:

y=20-4*(- 110/3 )

y=20+440/3

y=60/3 +440/3

y=500/3

Learn more about the system of equations here:

brainly.com/question/384631

#SPJ2

There are 18 girls and 24 boys who want to participate in a trivia challenge. If each team must have the same ratio of girls and boys, what is the greatest number of teams that can enter? Find how many boys and girls each team would have.

Answers

Answer:

4 team could enter  5 people in each team

Step-by-step explanation:

there will be 6 teams, each team having 3 girls and 4 boys

Step-by-step explanation:

6*3=18

6*4=24

1. Given the equation Ax + By = 600 and the x-intercept is (60,0) and the y-intercept is (0,25)
what are the values of A and B?
A =
B=

Answers

A=60 B=25
Hope this helps

Here is my question
Which statement can be used to classify this triangle as an isosceles triangle?
Angle F is a right angle.


Sides DE and EF are congruent.


Sides FD and DE are congruent.


Sides EF and FD are congruent.

Answers

Answer:

Sides EF and FD are congruent

Step-by-step explanation:

an isosceles triangle has two sides that are congruent and the two sides need to meet at then angle that is different from the other two base angles

Answer:

Sides EF and FD are congruent

8 coins are tossed simultaneously, find the chance of obtaining at least six heads​

Answers

Answer:

37/256

Step-by-step explanation:

We need to use the Binomial distribution here, ask me why?

because there are only two outcomes of the experiment, heads or tails, which are complementary by nature, that is to say they are mutually exclusive and if one doesn't happen the other definitely does

p(head)+p(tail) = 1

also the trials are independent of one another, that is to say that the outcome of one toss doesn't affect the outcome of any of the other seven tosses out of 8.

and I am assuming here that the coins are all unbiased, i.e. p(head)=p(tail)=0.50

Considering all of these the possibility that we will get at least 6 heads out of 8 tosses is given by

p(head=6)+p(head=7)+p(head=8)= 8C6 (0.5)^6 (0.5)^2 + 8C7 (0.5)^7 (0.5)^1 + 8C8 (0.5) ^8

The plus sign indicates OR operator, i.e. we might get 6 heads or 7 heads or 8 heads.

where the probability mass function of the bin distn is given by

nCx p^x q^(n-x)

n= total number of trials

x= no. of success (in our case no of heads)

n-x = no of failures (no of tails in this example)

p= probability of success (p(heads)=0.5)

q= probability of failure (is equivalent of 1-p)

7-99 Find the missing information in each set of equivalent ratios below, using any method. Be
sure that you record your process so that others can see what you did.
2
15
100
Noo
100
Work for A
37.5
I
Work for B
87.5
0.2
2
х
11.2

Answers

Answer:

21 man

Step-by-step explanation:

u have to do the work and get the answer

What is an equation of the line that passes through the points (6, 4) and (4,1)?

Answers

Answer:

3/2 x-5

Step-by-step explanation:

Answer:

y=3/2x-5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=1-4/4-6

m=-3/-2

m3/2

y-y=m(x-x1)

y-1=3/2(x-4)

y-1=3/2x-6

+1 +1

y=3/2x-5

Use the following information for the questionThe average travel time to work for a person living in kokomo is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time follows a normal distribution. Approximately what percentage of people living in Flint have a travel time to work that is less than 12.5 minutes?A) 15% B) 25% C) 75% D) None of these.

Answers

Answer:

16%

Step-by-step explanation:

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score = 12.5 minutes

μ is the population mean = 17 minutes

σ is the population standard deviation = 4.5 minutes

z = 12.5 - 17/4.5

z = -1

Probability value from Z-Table:

P(x<12.5) = 0.15866

Converting to percentage

= 0.15866 × 100

= 15.866%

Approximately , the percentage of people living in Flint have a travel time to work that is less than 12.5 minutes is 16%

A recipe calls for 2/3 cups of sugar. I have 5 1/2 cups of sugar. How many batches can I make, assuming I have a large quantity of all other ingredients?

Answers

Answer:

8.25 batches.

(Or, if rounding to the lowest amount of batches, 8 batches)

Step-by-step explanation:

We have in total 5 1/2 cups of sugar.

And the recipe calls for 2/3 cups of sugar.

So, to find out how many batches we can make, we can divide the amount of have by the amount needed. So:

[tex]5\frac{1}{2}\div\frac{2}{3}[/tex]

Let's convert the first fraction to improper form. We have 5 1/2. So, in improper form, it will be (5(2)+1)/2 or 11/2.

Therefore:

[tex]=\frac{11}{2}\div\frac{2}{3}[/tex]

To divide fractions, we keep, change, and flip. Therefore:

[tex]=\frac{11}{2}\times\frac{3}{2}[/tex]

Multiply straight across:

[tex]=\frac{33}{4}=8.25[/tex]

So, we can make 8.25 batches.

Or, we can make 8 full batches.

A high school marching band has 12 flute players. If 8% of the band members play the flute, then how many members are in the entire band?​

Answers

Answer:

It is 150 players

Step-by-step explanation:

You just cross multiply and divide.

8. 12

---- = -----

100. x

12×100 = 1,200

1,200 ÷ 8 = 150

Hope this helps!

Find the slope of (5,-5) and (-4,5)

Answers

Answer:

Slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]

Step-by-step explanation:

We need to find the slope of points (5,-5) and (-4,5)

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=5, y_1=-5, x_2=-4 \ and \ y=5[/tex]

Putting values in formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\frac{5-(-5)}{-4-(5)}\\Slope=\frac{5+5}{-4-5}\\Slope=\frac{10}{-9}\\Slope=-\frac{10}{9}[/tex]

So, slope of points (5,-5) and (-4,5) is [tex]\mathbf{-\frac{10}{9} }[/tex]

BRAINLIEST AND 20 POINTE TO THE CORRECT ANSWER

A company sells promotional magnets. The pricing, in dollars, is based on the number of magnets ordered, x.

13.00x, *< 100
12.50x, x 100
Which statement is true?
A.If a customer orders less than 100 magnets, the price for each magnet is $2.50.
B.If a customer orders less than 100 magnets, the price for the total order is $250.
C.If a customer orders 100 or more magnets, the price for each magnet is $2.50.
D.If a customer orders 100 or more magnets, the price for the total order is $250.

Answers

Answer:

Honestly, I think its c. I’m really sorry if I’m wrong

Step-by-step explanation:

Answer: the answer is most likely a.

Step-by-step explanation:

Your info isn’t good enough so I had to slightly guess

What are the zeros of the function? h(t)=(t -4)(t+8)

Answers

Find when h(t) = 0
0 = (t-4) (t+8)
t = 4, t = -8

Answer:

4 and -8

Step-by-step explanation:

Anything multiplied by 0 is 0. So we just need to find values of t which will give you a 0 by setting them equal to 0

[tex]t - 4 = 0\\\\t = 4\\\\t + 8 = 0\\\\t = -8[/tex]

deduct 18.729 from the sum of 29.178 and 9.65​

Answers

Answer:

Step-by-step explanation:

the sum of 29.178 and 9.65

29.178

+ 9.650

= 38.828

Sum =38.828

Deduct 18.729 from the sum

38.828

-. 18.729

=20.099

So the answer is 20.099

20.099 .

i think so, hope this helps

Plz help I am timed
What is the rule for this pattern?
7, 10, 5, 8, 3, 6, 1
A.start with 7 and add 3 repeatedly
B.start with 7 and subtract 5 repeatedly
C.start with 7 and alternate adding 3 and then
subtracting 5
D.start with 7 and alternate adding 5 and then
subtracting 3

Answers

Answer:

C

Step-by-step explanation:

Answer:

plus 3 minus 3

Step-by-step explanation:

Leanne runs on the treadmill and rides the exercise bike at the gym to stay in shape. She burns 15 calories per minute on the treadmill and 9 calories per minute on the bike. She wants to ride the bike 2.5 times as long as she runs on the treadmill and burn a total of 580 calories. The system of equations below can be used to find the number of minutes, t, she should run on the treadmill and the number of minutes, b, she should ride the bike.


According to this system of equations, can Leanne meet both her goals?

A.
Yes, she can run on the treadmill for 15 minutes 28 seconds.

B.
No, she cannot ride the exercise bike a negative number of minutes.

C.
Yes, she can ride the exercise bike for 15 minutes 28 seconds.

D.
No, she cannot run on the treadmill for a fractional number of minutes.

Answers

Answer: C

Step-by-step explanation:

step 1: I

step 2: just

step 3: took

step 4: it

final answer: i took the test and got a 100 so its definitely C.

<3

Which is a valid proportion?

Answers

Answer:

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.




Rearrange the formula to solve for the cost of goods sold (C).

Answers

Answer:

Cost of goods sold = Opening inventory + Purchase - closing inventory

Step-by-step explanation:

Cost of goods sold = Opening inventory + Purchase - closing inventory

Cost of goods sold = Sales - gross profit

Cost of goods sold = Revenue – Net Income – Expenses

Which equations has a solution of X=1.5

Answers

He hits a little on a number where it will start with a

Hello please this is kinda urgent so if you could answer really fast before 11:50 that would be great :-p-This is a school lesson on zearn no explenation needed just put the answer using /

Answers

Answer:

1  2/6 - 3/6

Step-by-step explanation:

This should be right if you are keeping the same amount but want to just change up the numbers!

the sum of two-fifths of a number and
three-tenths of the number.

Answers

Answer:

Seven out of ten

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

2/5+3/10=4/10+3/10=7/10

what's the way to finding a solution?​

Answers

-4x+(-5x)=180

-9x=180

x=-20
The answer is: -20

Hope it helps! All ya gotta do is add -4 and -5. Which is -9, and then you do 180 divided by -9 and it equals -20

1
The middle school girl's basketball team has
9 seventh-grade students and 5 sixth-grade
students. What is the ratio of sixth-grade
students to seventh-grade students on the
team?

Answers

Answer:

ratioed by ur name

Step-by-step explanation:

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