In a circle, an angle measuring 8.2 radians intercepts an arc of length 30. Find the
radius of the circle to the nearest ioth.

Answers

Answer 1

Answer: r=3.659 or 3.7

Step-by-step explanation:


Related Questions

Which are the solutions of x^2 = 19x + 1?

Answers

Answer:

x = [tex]\frac{19+\sqrt{365}}{2}, \frac{19-\sqrt{365}}{2}[/tex]

Step-by-step explanation:

1. Move everything to one side of the equation.

x^2 - 19x - 1 = 0

2. Use the quadratic formula where a = 1, b = -19, and c = -1.

x = (-b +- sqrt(b^2-4ac)) / 2a

If you plug those numbers into that formula, you will get the result listed above

Answer:

B

x₁ = [tex]\frac{19-\sqrt{365}}{2}[/tex], x₂ = [tex]\frac{19+\sqrt{365} }{2}[/tex]

Step-by-step explanation:

write an equation for the function graphed below

Answers

The rational function graphed in this problem is defined as follows:

f(x) = -3(x - 2)/(x² - x - 6).

How to define the rational function?

The vertical asymptotes of the rational function in this problem are given as follows:

x = -2 and x = 3.

Hence the denominator of the rational function is given as follows:

(x + 2)(x - 3) = x² - x - 6.

The zero of the rational function is given as follows:

x = 2.

Hence the numerator is given as follows:

a(x - 2).

In which a is the leading coefficient.

Hence:

f(x) = a(x - 2)/(x² - x - 6).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = -2a/-6

-1 = a/3

a = -3.

Hence the function is:

f(x) = -3(x - 2)/(x² - x - 6).

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A garden table and a bench cost $996 combined. The garden table costs $46 more than the bench. What is the cost of the bench?

Answers

Answer:

The cost of the bench is $475

Step-by-step explanation:

Let cost of garden table= x and cost of bench= y

x + y = 996 (eqn 1)

x - y = 46 (eqn 2)

eqn 1 + eqn 2

2x = 1042

2x/2 = 1042/2

x = 521

The cost of the garden table is $521.

Substitute x = 521 into eqn 1

x + y = 996

521 + y = 996

y = 996 - 521

y = 475

The cost of the bench is $475.

What is 46% of 22? Use a fraction and express your answer in simplest form.

Answers

Answer:

10 3/25

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

C. Reflected over the y-axis and translated up 1 unit

Answer:

The answer is C

Step-by-step explanation:

how to find the
value of 18.04 divided by 0.2

Answers

Answer:

18.04/0.2 = 90.2

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer: (4,-11)

Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates

Answer:

4,-11

Step-by-step explanation:

The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11

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Estimate the radius of the object

Answers

Answer:

r = 1.41 mm

Step-by-step explanation:

Given that,

The circumference of the flower, C = 8.9 mm

We need to find its radius. We know that,

Circumference, [tex]C=2\pi r[/tex]

Where

r is the radius of the object

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{8.9}{2\pi}\\\\r=1.41\ mm[/tex]

So, the radius of the object is equal to 1.41 mm.

How many ways can you arrange the letters in the word MARBLE if the letters B and L have to
stay together?

Answers

Answer:

I thought of 10

Step-by-step explanation:

Ambler, blamer, ramble, amble, blame, abler, blare, blear, blam, blae

help me please I will be thankful

Answers

Answer:

x=56º

Step-by-step explanation:

The cube tells us that 34º and x must equal 90º

So we use what we know to find the missing piece

90º=34º+x

-34º -34º

56º=x

Answer:56

Step-by-step explanation:90+34+x=180 because triangles angels sums up to 180 degrees

180-124=x

56=x

PLEASE HELP!!!!!!!!!!!!! ILL GIVE YOU BRAINLEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

73 is the correct answer

Step-by-step explanation:

I would pick 3 and 6

or C and F

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

1) the angles are supplementary because they sum up to 180 degrees

2) the two angles are same-side interior angles

3) 3x + 10 + 3x - 28 = 180

4) => 6x = 198 => x = 33

Answer:

33 messy

Step-by-step explanation:

Suppose you deposited $400 in a savings account 2 years ago. The simple interest rate is 2.8%. The
interest that you earned in those 2 years is $22.40.

Answers

Answer:

try to multiply the $400 to the interest and divided by $22.40

solve for the missing side and round to the nearest tenths place

Answers

Answer:

A. 22.5

Step-by-step explanation:

Apply Trigonometric function.

Reference angle = 64°

Opposite side to 64° = x

Hypotenuse = 25

Apply SOH:

Sin 64 = Opp/Hyp

Sin 64 = x/25

25 × Sin 64 = x

22.4698512 = x

x = 22.5 (nearest tenth)

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Find the probability that a
randomly
selected point within the circle falls
in the white area.
r = 4 cm
a = 3.2 cm
S = 4.7 cm
[? ]%
Round to the nearest tenth of a percent.

Answers

Answer:

25.54

Step-by-step explanation:

somebody say it on the comments :)

The probability that a randomly selected point within the circle falls in the red-shaded area is 75.61%.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We need to find the probability that a randomly selected point within the circle falls in the white area.

We have been given the following parameters;

Radius r = 4 cm

a = 3.2 cm

S = 4.7 cm

The area of the circle A = πr²

A = π(4)²

A = 16π square cm

Here, The total number of outcomes = 16π square cm = 50.26 square cm

The side length of the pentagon a = 4.7 cm

The area of the pentagon can be calculated using:

Area = (1/4)√[5(5+2√5)]a²

Plug a = 4.7

Area = (1/4)√[5(5+2√5)](4.7)²

After calculating, we get;

Area = 38.01 square cm

The Total favorable outcomes = 38.01 square cm

The probability = 38.01/50.26

The probability = 0.7561

In percent,

The probability = 75.61%

Therefore, the probability that a randomly selected point within the circle falls in the red-shaded area is 75.61%.

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Help w homework plsssss

Answers

Answer:

67

Step-by-step explanation:

complementary mean it equals 90 degrees

90-23 = 67

m<2=67

A local car dealership currently has 36 used GM, Food, and Toyota vehicles on the lot that are cars or turcks. Inventory shows the following: 26 vehicles are cars, 10 are trucks, 11 vehicles are GM's, 15 vehicles are Fords. Three vehicles are Toyota trucks and 14 vehicles are Ford cars. What is the probability that a randomly selected vehicle is either a Ford or a car

Answers

Answer:

P (F or C)  = 27/36= 0.75

Step-by-step explanation:

There are 36 vehicles in all.

There are total 26 cars.

There are total Ford vehicles which are 15 in number out of which 14 are cars. The results can be summarized as follows.

                           Cars                   Trucks            Total Vehicles

Ford                           14                           1                      15

Toyota                      7                              3                     10

Gm                            5                              6                     11                    

Total                        26                            10                     36      

As the events are composite

The probability of randomly selecting vehicle is either a Ford or a car is given by  P (F or C) = P(F) + P(c)- P(FC)

where P(F) is the probability of the Ford car and P (C) is the probability of the car.

P(F)= 15/ 36

P(C)= 26/36

P(FC)= 14/36

This is the additive rule applied for composite events.

P (F or C) = P(F) + P(c)- P(FC)

             = 15/36 + 26/36- 14/36

                = 27/36=0.75

A door is 8 feet tall and 4 feet wide. What is the area?

Answers

Answer:

32

Step-by-step explanation:

a door is rectangular in shape

area = length × breadth

8 × 4

32

answer:

The area of the door is 32 square ft

A y = 3x + 2
C y=-3x + 2
B y = 3x + 2
D y = - 3 x + 1/2

Answers

for a minute i thought it was c. y = -3x + 2.

1.5 units
2 units
3 units
3.5 units


Those are the answer options



I need help fast

Answers

Answer:

3 units

Step-by-step explanation:

There are 3 squares between them.

Solve the equation:

f÷8=20

Answers

Answer:

f=160

Step-by-step explanation:

all you really need to do is multiply 20 and 8 and you end up with 160

For a sample with mean = 50 and standard deviation = 10...
A. Find the z-score for each of the following X values:
X = 60
X = 75
X = 30

Answers

X = 60 is 1 standard deviation above the mean.

X = 75 is 2.5 standard deviations above the mean.

X = 30 is 2 standard deviations below the mean.

To find the z-score for a particular X value, we use the formula:

z = (X - mean)/standard deviation

where X is the given value, mean is the population mean, and standard deviation is the population standard deviation.

For X = 60:

z = (60 - 50)/10 = 1

Therefore, the z-score for X = 60 is 1.

For X = 75:

z = (75 - 50)/10 = 2.5

Therefore, the z-score for X = 75 is 2.5.

For X = 30:

z = (30 - 50)/10 = -2

Therefore, the z-score for X = 30 is -2.

The z-score represents the number of standard deviations that a particular X value is away from the mean. Since the mean z-score is 0 and a positive z-score means that the X value is above the average.

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the rule for being the nth item in a certain sequence is n(n+1)/2. what is the 4th term in this sequence ?
a.) 4
b.)10
c.)16
d.)20​

Answers

Answer:

a.) 4

Step-by-step explanation:

a.)4

Unit 2 Exam
Rabbit populations can double every 30
days. If there are 26 rabbits on a farm,
how many rabbits will be on the farm
after 240 days?
First, complete the equation:
Future Amount = 26(1+1)

Answers

Answer:

6,656 rabbits

Step-by-step explanation:

Population of rabbits = 26

Population doubles every 30 days

how many rabbits will be on the farm after 240 days?

t = 240 days / 30 days

= 8

Future Amount = 26(2)^t

=26(2)^8

= 26(256)

= 6,656

Therefore, the population of rabbits on the farm after 240 days is 6,656

What percentage of the data is between 4 and 9?
A: 25
B: 50
C: 75
D: 100

Answers

Answer:

its 25% meaning A is the answer

Step-by-step explanation:

I don't understand this, I really need help!!!!!! quickly

Answers

Answer:

2923.34

Step-by-step explanation:

π×r²×h

3.14 ×7 ²×19 2923.34

2923.34

Step-by-step explanation:

the formula for the volume of a cylinder is V = 3.14 × radius squared × h. So 3.14 × 49 × 19 which equals 2924.82

13. Justify Conclusions Determine whether each statement is sometimes,
always, or never true. Justify your answer.

Answer

A. It is possible for a triangle to have two right angles?

B it is possible for a triangle to have two right angles.

Answers

Answer:

False. It is not possible for a triangle to have two right angles.

Step-by-step explanation:

Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.

please help me fast thanks​

Answers

Answer:

1.86/2 = 0.93/2 = 0.465/2 = 0.2325

Step-by-step explanation:

In which number does the digit 777 have a value that is 101010 times as great as the digit 777 in the number 0.9750.9750, point, 975?

Answers

Answer:

0.73

Step-by-step explanation:I use khan too 0.7 is 10 times as great as 0.07

An object is dropped from a height of 1168 feet above the ground.

How high above the ground will the object be after 6 seconds?
Incorrect
feet
Correct

How long after being dropped will the object reach the ground? (if necessary, round to the nearest tenth)

Answers

9514 1404 393

Answer:

  592 feet

  8.5 seconds

Step-by-step explanation:

The usual equation used for ballistic motion is ...

  h(t) = -16t^2 +h0

Here, we have h0=1168 and t=6, so ...

  h(t) = -16(6^2) +1168 = 592 . . . feet high after 6 seconds

__

For h(t) = 0, the value of t can be found from ...

  0 = -16t^2 +1168

  t^2 = 1168/16 = 73

  t = √73 ≈ 8.5

The object will reach the ground after 8.5 seconds.

Other Questions
a 0.20 m solution contains 6.4 g of so2. what is the volume of the solution? report your answer with two significant figures. Fulton is employed at an annual salary of S22,532 paid semi monthly. The regular workwerk in 36 hours (a) What is the regular salary per pay period? (b) What is the hourly rate of pay? c) What is the gross pay for a pay period in which the employee worked 9 hours overtime at time and one half regular pay? A budgeting approach in which managers prepare their own budget estimates is known as a. static budget b. flexible budget budgetary slack C. d. budgetary participation e. None of the answers. The length of time to failure (in hundreds of hours) for a transistor is a random variable X with the CDF given below: Fx $1 - e-x2 for x 20 0 elsewhere Ex(x) = {t-e = a. b. Compute the P(X 50.4) Compute the probability that a randomly selected transistor operates for at least 200 hours. Derive the pdf of this random variable. 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On 1 April 2020, Toronto Berhad was incorporated and a prospectus was issued inviting applications for 100,000 shares, at an issue price of RM10, payable RM5 on application, RM2.50 on allotment and RM1.25 on each of two calls to be made at intervals of 4 months after the date of allotment. By 30 April, applications were received for 120,000 shares. Which of the following is a client-side extension? a. Java b. TCP/IP c. ODBC d. SQL*Net. a Kaleb Konstruction, Inc., has the following mutually exclusive projects available. The company has historically used a three-year cutoff for projects. The required return is 13 percent.YearProject FProject G0-$ 132,000-$ 202,000161,50041,500248,50056,500358,50088,500453,500118,500548,500133,500Required:(a) Calculate the payback period for both projects. (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).Calculate the NPV for both projects. (Do not round intermediate calculations. 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