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

FOR 20 POINTS!!!!! Luis has $12 and wants to buy 6.6 pounds of apples. Apples cost $1.80 per pound. Luis rounded each value and estimated that he does not have enough money to cover the cost of the apples before sales tax is applied. Which best explains how his estimate relates to the actual product? Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. Because each value rounds up, his estimate is higher than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He does not have enough money to buy the apples. Because each value rounds up, his estimate is lower than the actual product. He might have enough money to buy the apples.

Answers

Answer: Hope this helps.

Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. So A.

Step-by-step explanation:

We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb × 7 lb = $14, which is more than he has to spend.

Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.

The best choice among the answers is the one shown above.

Ben’s favorite deli says the average serving time is 12 minutes. Ben notices that the wait time at the deli varies at different times of day, before and after noon. His observations when the wait time is as advertised can be represented by the equation 2|x − 2| − 12 = 0. Solve for the times when the serving time is as advertised, relative to noon. Group of answer choices (THERES ALOT OF ANSWERS BE PREPARED) SELECT ALL THE ANSWER CHOICES.


4pm,

8pm,

9am,

3pm,

noon,

11am,

6pm,

9pm,

7am,

1pm,

2pm,

5pm,

10pm,

10am,

8am,

7pm,

6am,

Answers

Answer:

8 pm and 8 am

Step-by-step explanation:

Let us solve the equation

[tex]2|(x-2)|-12=0[/tex]

There is a modulus in the equation this means that one value of the modulus will be positive and the other will be negative

Let us solve for the positive first

[tex]2(x-2)-12=0\\\Rightarrow 2x-4-12=0\\\Rightarrow x=\dfrac{16}{2}\\\Rightarrow x=8[/tex]

Now we add this value with 12 noon

So

[tex]12+8=8\ \text{pm}[/tex]

Let us solve for the negative

[tex]2(-(x-2))-12=0\\\Rightarrow 2(2-x)-12=0\\\Rightarrow 4-2x-12=0\\\Rightarrow x=-\dfrac{8}{2}\\\Rightarrow x=-4[/tex]

So

[tex]12-4=8\ \text{am}[/tex]

The times when the serving time is as advertised is 8 pm and 8 am.

Household incomes are normally distributed with a mean of $47,500 and a standard deviation of $12,500. What is the probability of having incomes of $60,000
or more?
a) 2.50%
O b) 5.0096
C) 15.87%
od) 7.8096

Answers

Answer:

Option C: 15.87 is the correct answer

Step-by-step explanation:

Given

Mean = $47500

SD = $12500

We have to find the probability of having $60000 or more

So,

x = $60000

The z-score will be:

[tex]z-score = z = \frac{x-mean}{SD}\\z = \frac{60000-47500}{12500}\\= \frac{12500}{12500}\\= 1[/tex]

Looking in the z-score table, we get

P(Z<60000) = 0.8413

In order to find the probability P(Z>60000) => 1-P(Z<60000)

= 1-0.8413

=0.1587

Converting into percentage: 0.1587*100 = 15.87%

Hence,

Option C: 15.87 is the correct answer

How many distinct rearrangements of the letters in "tweedledee" are there?

Answers

Answer:

weed ,led ,we, tee , tweedle

(07.03)
What is the value of y in the equation 2(4y - 1) = 6? (4 points)
0
Ob
1
Ос
6
Od
8

Answers

Answer:the answer is 1

Step-by-step explanation:

2(4y-1)=6

Divid by 2 on both sides

4y-1=3

Add 1 to both sides

4y=4

Divid both sides by 4

Y=0


PLEAS HELP FAST!!!!!!!!!!!!!!

Answers

Answer: Point D

Step-by-step explanation: Point D is at 3 and 3/4.

I think the answer is point D

The larger of two numbers is four more than three times the smaller. Two times the smaller, increased by five, results in the larger. What are both numbers?

Answers

Answer:

Determine the area of the archway with a semicircle top arch and two rectangular pillars.

The lower supports are

✔ congruent rectangles

and the area of the two supports is

✔ 24

square meters.

The upper arch can be decomposed as one semicircle with radius

✔ 6

meters minus a semicircle with radius 3 meters.

The area of the archway is (

✔ 13.5

π + 24) square meters.

Step-by-step explanation:

how do i solve this help

Answers

Answer is : A .. Hope it helped

your class is having a car wash for a fundraiser. it costs $27.95 for supplies. your class charges $5 per car. write an expression for the profit of the car. find the profit if the class washes 34 cars.​

Answers

Equation y = 5x - 27.95
Plug in 34 for x
5(34) - 27.95
170 - 27.95 = $142.05

Answer:

5x-27.95=profit

5(34)-27.95

170-27.95

$142.05

Write the fraction 5/8 as a percent and as a decimal.

Answers

Answer:

0.625

62.5%

Step-by-step explanation:

5/8 is 0.625 as a decimal and

0.625*100 is 62.5 as a percent

what is the determinant ?
PLS RESPOND IM IN DEEP NEED

Answers

Answer:  27

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

Explanation:

Check out the diagrams below. I posted two of them. Start with figure 1.

Notice how I've copied the first two columns and placed them on the right side of the matrix.

After that, I've highlighted the diagonals. The numbers in each diagonal grouping multiply together. I've used color coding to show this.

Once you find all those products, you add up the values. Figure 1 shows a result of 42. This isn't the final answer, but it helps us get there.

Figure 2 is a similar idea, but we're doing the off diagonals instead of the main diagonals. The result here is 15.

The last step is to subtract the results found in figures 1 and 2. We get 42-15 = 27 as the final answer.

You could use co-factor expansion as an alternative method. For me, I prefer this method of multiplying diagonals. Unfortunately the method only works for 3x3 matrices.

write a poem about linear functions.

Answers

Answer:

what are linar functions

Step-by-step explanation:

Estimate 296/26 by first rounding each number so that it has only 1 nonzero digit

Answers

Answer:

10

Step-by-step explanation:

296/26 = 11.3846153846

Now round it to the nearest tenth = 11.40

round to the nearest whole number = 11

To the nearest zero digit = 10

Answer:

Step-by-step explanation:

296 .Here ten's place is 9 >= 5 . So, add 1 to hundred's place

296 = 300

26. Here units place is 6 >= 5 . So, add 1 to ten's place

26 = 30

[tex]\frac{296}{26}=\frac{300}{30}=10[/tex]

Help look at the image

Answers

Answer:

There. I looked at the image.

The thing is right because they are all the same.

Step-by-step explanation:

Plz mark as Brainliest!

-3 -2e -7 = 10
e =

Solve for e

Answers

Answer:e=-10

Step-by-step explanation:

-2e-7=13

-2e=20

e=-10

business success edge

Answers

hello again thanks for the points but why are you putting these questions because you passed the essay?

36/ BLANK= 12/ BLANK FILL IN THE BLANKS PLEASE

Answers

Answer:

All real numbers

Step-by-step explanation:

36/something1 = 12/something2

36/12=3

to get from something1 to something2 you divide by 3

36/3x=12/x

Cross multiply

36x=12*3x

36x=36x

x=x

Since each side of the equation is equal, the solution is all real numbers

I hope this helps :)

the charge for a 7 min call is Rs.42.
find the rate per min ​

Answers

42 dollars/7 minutes

÷ by 7 on both

6 dollars/1 minute

hope this helped

please make this brainliest


Ava was looking for treasure.
She looked on a sandy beach. The
length of the beachy spot was 2 1/4
feet by 1 1/2 feet. What was the
area of the beachy spot?

Answers

2 1/4 x 1 1/2
= 9/4 x 3/2
= 27/8
= 3 3/8

The figure shown is a parallelogram.
What are the values of x and y?

Answers

Answer:

x=6 and y= 15 I think im correct don't take my word for it

Dan and Paul share some money in the ratio 9:5.
Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.
How much did Paul originally have?

Answers

Answer:

Paul had £40 originally.

Step-by-step explanation:

Given

Let d be the money Dan has and p be the money Paul has

Then according to the given situation,

[tex]\frac{d}{p} = \frac{9}{5}\\d = \frac{9p}{5}\ \ \ Equation\ 1[/tex]

Now from the statement, "Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1"

[tex]\frac{d-32}{p} = 1[/tex]     Eqn 2

From 2

[tex]d - 32 = p\\[/tex]

Putting d = 9p/5

[tex]\frac{9p}{5} - 32 = p\\9p - 160 = 5p\\9p-5p = 160\\4p = 160\\\frac{4p}{4} = \frac{160}{4}\\p = 40[/tex]

Checking

[tex]d = \frac{9(40)}{5} = \frac{360}{5} = 72\\\frac{d}{p} = \frac{72}{40} = \frac{9}{5}[/tex]

Hence,

Paul had £40 originally.

Joan planted 150 tulip bulbs, but only 20% of them bloomed. How many tulips
bloomed?

Answers

120 tulips just 150 x .80= 120

The following statements as true or false.


a. m23 + m25 = 180

b. m22 + m26 = 180

C. m28 = m_1
Which ones are true and false plzzzzz this is urgent

Answers

Answer:

True

False

True

Step-by-step explanation:

Interior angles are supplementary

Corresponding angles makes mangle2 and mangle6 the same deg

mangle1 = mangle5 (corresponding angles)

mangle5 = mangle8 (vertically opposite angles)

-3 = 5 - 4x in algebra tiles

Answers

the answers is 2 cause you subtract 5 to the other side getting -8= -4x dividing both sides by -4 getting 2

helppppp please I will give brainliest​

Answers

It is y=2x-4 (the 4th answer)

4.3.AP-10
Question Help
On a team, 7 girls and 5 boys scored a total of 91 points. The difference between the number of points scored by the 7 girls and the number of points scored by the
5 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each
boy

Answers

Answer:

u want step by step?

Step-by-step explanation:

CAN SOMEONE PLZ HELP MEI BEG U ILL DO ANYTHING JUST HELP ME!!!!

Answers

Answer:

you can draw < > ≤ ≥ as duck mouths or something.

and the symbol ≠ can be inputed as a wire or dog leash, so if I had to draw this, draw a park where there is a lake on the right side then have a bench where an old man or a little child is feeding ducks with little bits of breab with its beaks opened then have like, a girl jogging with her dog and put ≠ as a leash for the dog and that's all I got. If you want more add street lights hanging above like triangles.

Please find the x, thank you!

Answers

Switch around the equation
7/x - 9/x = -1/4
-2/x = -1/4
Cross multiply
x = 8

Answer:

X=8

Step-by-step explanation:

Hope this helps

what are the terms in the expression 2x-4y+8?
A.) 8
B.) 2x and 4y
C.) 2x, -4y, and 8
D.) 2, 4, and 8

P.S PLS HELP DUE TODAY!!!​

Answers

I’m pretty sure is 8, because there are no like terms in there so I’m sorry if I’m wrong.

Jan raised $120.75 at the car wash. If each wash costs $5.75, how many cars did she wash?

Answers

Answer:

She washed 21 cars

Step-by-step explanation:

Answer:

Jan washed 21 cars

Step-by-step explanation:

120.75 / (Divided) 5.75=21

If you were to times 5.75 by 21 you will get the amount she rasied at the car wash

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