What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 80 degrees?

Answers

Answer 1

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]


Related Questions

NEED HELP!! THX! please answer part b, I already have part a.

Answers

Answer:

See below ~

Step-by-step explanation:

3.25% is the interest rate, meaning it won't be constant, but a coefficient of the function$15,000 is a constant as the interest gets added to it

The function can be written as :

aₙ₊₁ = 0.325aₙ + 15000

A fence installation company sells 4 models of chain-link fencing, 2 models of wood fencing, and 3 models of iron fencing. What is the total number of models of fencing that the company sells?

A. 24
B. 11
C. 6
D. 9

Answers

Answer:

D.

Step-by-step explanation:

PART A
Mrs. Jackson is planning an outdoor barbeque. She will cook 2 ears of corn per person plus two extra. If 16 people plan to come, how many ears of corn will Mrs. Jackson cook?

Answers

Answer:

34

Step-by-step explanation:

2 x 16 + 2

_________

2 x 16 = 32

_________

32 + 2 = 34

Answer:

30 or 64

Step-by-step explanation:

30 Because... 2 corns for every one till they rech 15..

that's mean (2 x 15)

64 Because... 2 corns plus 2 extra if they rech 16....

that's mean (4x16)

please help me i'll do anything

Answers

Step-by-step explanation:

Here are all the answers.

Pythagorean Theorem. Show your work.

Answers

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

12^2 + 15^2 = c^2

144 + 225 = c^2

144 + 225 = 369^2

√369 = 19.21

Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 msrp, a 79% residual value, and a money factor of 0.00365. a. $358.64 b. $128.08 c. $169.17 d. $105.85 please select the best answer from the choices provided a b c d

Answers

Answer:

A

Step-by-step explanation:

i did this before and got it correct

Draw a model of 1/2 divided by 4 please help yall

Answers

Answer:

1/8

Step-by-step explanation:

1/2 divided by 4 = 8 1/8ths

Help! Can’t figure out

Answers

Answer: Number 11 is       21/5

Number 10 is  35/96

Step-by-step explanation:

How many milliliters are in 12.9 liters?

Answers

Answer:

12,900

Step-by-step explanation:

12.9 x 1000 = 12,900

Answer:

12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.

Dwayne is making a documentary about the formation of rocks. He started on Wednesday with
a certain amount of film footage and then added 3.75 hours. Then, on Friday he cut 0.28 hours
of footage. Over the weekend he cut another 1.3 hours of footage. On Monday he added 1.25
more hours of footage and finally on Tuesday got rid of another 2.7 hours of footage to have his
final film length. If Dwayne started on Wednesday with 6.8 hours of footage, what was the final
length of his documentary? Round your answer to the nearest tenth if necessary.

Answers

Let x = the amount of film he started with on Wednesday
x + 3.75 - 0.28 - 1.3 + 1.25 - 2.7
x = 6.8
6.8 + 3.75 - 0.28 - 1.3 + 1.25 - 2.7 = 7.25
Dwayne has 7.25 hours of footage.
Hope that helps

Divide.
0.4) 29
Enter your answer as a decimal in the box.

Answers

Answer:

0.0138

Step-by-step explanation:

the division gives a value which is almost recurring hence we round off to get 0.0138

Answer:

72.5 (I did the math)

What is the cost of 10.0 gallons of gasoline priced at 1.449 per gallon?

Answers

14.49 all you have to do is 10x1.449 and you get your answer

Answer:

14.49

Step-by-step explanation:

thats all folks i don't know why though

Find the reciprocal of 7/2 multiplied by 3/5​

Answers

6/35

hope it helps...!!!

Answer:

(2/7) x (3/5)=  fraction form: 6/35   decimal form: 0.1714285

Step-by-step explanation:

HELP ASAP! WILL MARK BRAINLIEST
Identify each number as rational or irrational by circling the word that describes it:

Rational or Irrational:
Rational or Irrational: 0.46
Rational or Irrational: √100
Rational or Irrational: -16
Rational or Irrational: √21
Rational or Irrational: 10

Answers

Question 1
Answer
0.46 : rational(/ ); irrational(x);
Solving Steps

Question 2
Answer
1100 : rational(/): irrational(x);
Solving Steps
Categorize the number :

Question 3
Answer
-16 : rational(V); irrational(x);
Solving Steps
Categorize the number:
-16 : rational(/); irrational(x);


Question 4

Answer
V21: rational (×); irrational(r);
Solving Steps
Categorize the number
V21 : rational(×): irrational():

Assume your friend just took an exam made up of 20 true/false questions. further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question what is the probability your friend will pass the exam?

Answers

Answer:

10/20 or 1/2 it is 50% chance that she pass and 50% that she fail

Step-by-step explanation:

The probability of your friend passing the exam by pure guessing is 0.176 or about 17.6%.

The probability of guessing correctly on any individual question is 0.5 (50%).

If the passing grade is, for example, getting at least 50% of the questions correct, your friend needs to get 10 or more questions correct.

The probability of guessing correctly on exactly k questions out of 20 is given by the binomial probability formula:

[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)[/tex]

For k = 10 (minimum number of correct answers to pass):

[tex]P(X = 10) = ^{20}C_{10} * (0.5)^{10} * (1 - 0.5)^{(20 - 10)[/tex]

P(X = 10) = 0.176197052

So, the probability is 0.176 or about 17.6%.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ4

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

[tex]\sf\huge\underline{\star Solution:-}[/tex]

Given that:Hypotenuse of a right triangle = [tex]\sf\blue{16cm.}[/tex]One side (leg) = [tex]\sf\blue{9cm.}[/tex]

To Find:Measure of another side(leg).

Solution:-

[tex]\rightarrow[/tex] As we know that,

[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)

Here I am putting the value of hypotenuse in C because it is the longest side of triangle.

[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]

Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]

____________________________________

Hope it helps you:)

Miguel did the following math problem: 6 ^5 · 6^ 4 = 36^ 9.

Which of the following is a true statement?

He is incorrect because he multiplied the bases.
He is incorrect because he should have multiplied the exponents.
He is correct.
He is incorrect because he should have subtracted the exponents.

Answers

Answer:

He is incroredct because he should have multiplied the bases

Step-by-step explanation:

Answer:

A: He is incorrect because he multiplied the bases.

Step-by-step explanation:

The correct answer would have been: [tex]6^{9}[/tex]

Tom has read 5/8 of the 360 pages in the book how many pages are left to read?

Answers

Answer:

135

Step-by-step explanation:

5/8=0.625

1-0.625=0.375

0.375 times 360=135

Write an equation for a quadratic function in vertex form with a vertex of (3,1) that has the point
(1,5).

Answers

Answer:

y = (x - 3)² + 1

Step-by-step explanation:

the equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute (1, 5 ) into the equatiuon

5 = a(1 - 3)² + 1 ( subtract 1 from both sides )

4 = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

then equation of quadratic function is

y = (x - 3)² + 1

Which expression should you simplify to find the 90% confidence interval,
given a sample of 65 people with a sample proportion of 0.42?
O A. 0.42
1.645-0.42
165
OB. 0.42 65
0.42(1–0.42
1.645
O c. 0.42 +1.645.
0.42(1-0.42)
65
O D. 0.42 +1.645.
V0.42(1–0.42)
65

Answers

Answer:

i think is would be D

hope that helps if not i can change it

Step-by-step explanation:

The bakers at healthy bakery can make 320 bagels in 10 hours. How many bagels can they make in 15 hours? What was the rate per hour?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Unitary method ~

[tex]\qquad \sf  \dashrightarrow \:10 \:hr = 320 \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \: 1\: hr = (320 \div 10) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: hr = 32 \: bagels[/tex]

So, the rate per hour is 32 bagels ~

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = (15 \times 32) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = 480\: bagels[/tex]

So, they can prepare 480 bagels in 15 hours

Answer:

480 bagels

Step-by-step explanation:

320 bagels in 10 hours.

⇒ 320 bagels = 10 hours

Divide 10 both sides to find the rate per hour:

⇒ 320/10 bagels = 10/10 hours

32 bagels = 1 hours

Multiply 15 both sides to find the number of bagels in 15 hours

⇒ 32 bagels = 1 hours

⇒ 32 x 15 bagels = 1 x 15 hours

480 bagels = 15 hours

Solve the system of equations using the substitution method Show all work,
y = 5x - 7
3x + 2y = 12

Answers

Answer: Since −3x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3x to both sides.

y=5x−7

−2y=3x−12

Divide each term in the equation by −2.

y=5x−7

y=−3x/2+6

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(2,3)

how to simplify 8 + ( -6 ) + 4

Answers

Answer:

6

Step-by-step explanation:

[tex]8-6+4[/tex]

[tex]2+4\\6[/tex]

Here’s another geometry workbook question I need help with!

Answers

Answer: D

Step-by-step explanation:

Factored form;
f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)

Answers

The expression f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3 is a polynomial function

The factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

How to determine the factored form?

The expression is given as:

f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)

Express as difference of two squares

f(x) = (x - 2)(x + 2)(x ^ 2 + 4x + 3)

Expand

f(x) = (x - 2)(x + 2)(x ^ 2 + x + 3x + 3)

Factorize the expression

f(x) = (x - 2)(x + 2)(x(x + 1) + 3(x + 1))

Factor out x + 1

f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

Hence, the factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

Read more about factored expressions at:

https://brainly.com/question/723406

The mass of the sun is 2 × 1030 kg, and the distance between neptune and the sun is 30 au. what is the orbital period of neptune in earth years? 30 earth years 164 earth years 3.8 × 1011 earth years 2.3 × 1017 earth years

Answers

The Neptune's time period of orbit is 164.3 earth years.

We have given that the mass of the sun is 2 × 1030 kg.

The distance between neptune and the sun is 30 au

What is the  mathematical expression of Kepler's law ?

[tex]T^2 = 4\pi ^2a^3/GM[/tex]

Where T is in earth years, a is astronomical units and

M = solar masses.

4π²/GM = 1,

Therefore we get

[tex]T^2 = a^3[/tex]

[tex]T = \sqrt(a^3)[/tex]

[tex]T = \sqrt(30^3)[/tex]

[tex]T = 164.3[/tex]

Therefore, the Neptune's time period of orbit is 164.3 earth years.

To learn more about the time period visit:

https://brainly.com/question/329317

Answer:

b. 164 earth years

Step-by-step explanation:

just took the quiz 2022

Which scatterplot shows a linear association?

Answers

Answer:

B

Step-by-step explanation:

A linear association means the function is a relation that can be shown with a line.

The first scatterplot is in the form of a parabola, and parabolas are the quadratic function form, meaning it cannot be linear.

Next, the second scatterplot goes diagonally, in a straight line. If we were to connect the dots using a line, then it would be a linear association, meaning that B is the correct answer.

Pls just help out 14 points plssssss

Answers

Answer:

Volume = 1/3 ft^3

Step-by-step explanation:

volume of prism is multiplying the dimensions

Volume = (1/3 ft)x(2/3ft)x(1 1/2ft)  

Volume = (1/3 ft)x(2/3ft)x( 3/2ft)

Volume = (1x2x3)/(3x3x2) ft^3 = 6/18 ft^3 = 1/3 ft^3

Option B is correct, the volume of the  right rectangular prism is 1/3 cubic feet.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a right rectangular prism.

The length is [tex]1\frac{1}{2}[/tex] feet

The width is 2/3 feet

The height is 1/3 feet.

Volume=Length×width×Height

= [tex]1\frac{1}{2}[/tex] ×2/3×1/3

=3/2×2/3×1/3

=1/3 cubic feet

Hence, Option B is correct, the volume of the  right rectangular prism is 1/3 cubic feet.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

Evaluate the expression for x = 3 and y = 6.

5(x2 + y) + y2

Answers

Answer:

48

Step-by-step explanation:

5(x2+y)+y2

5 x (3 x 2 + 6) + 6 x 2

5 x 6 + 6 + 6 x 2

30 + 6 + 6 x 2

30 + 6 + 12

36 + 12 = 48

Solve. 3x+2=17
Question 7 options:

x=2


x=5


x=8


x=4

Answers

Answer:

X = 5

Step-by-step explanation:

3x + 2 = 17

3x = 7-2

3x = 15

x = 5

Answer:

x=5

Step-by-step explanation:

3x+2=17

or,3x=17-2

or,3x=15

or,x=15/3

or,x=5

Other Questions
PLS HURRRRRRRRYYYY!!!! Research a type of plant tropism not presented in the lessons. Create a meme below that name and describes the tropism. which of hendersons experiences made him a good choice to be the first governor why luke warm temperature is not suitable for washing Demarcus has to wrap a gift for his friend's birthday party. the gift is in a rectangular box with the dimensions shown below. he's trying to figure out how much gift wrap he needs to cover the entire box. should he calculate the total surface area or the lateral surface area? pick the right measurement and then calculate it for him. A nurse is caring for a client who has a central venous access device in place. True or False: A trait is only considered an adaptation if it is beneficial to the organisms current environment Explain the difference between an interval schedule of reinforcement and a ratio schedule of reinforcement. An angle measures 62.4 more than the measure of its supplementary angle. What is the measure of each angle? which of the following has the smallest radius? A, Mg B, Na+ C, Na D, Mg+ Which of the following best describes the graph below?-A It is a function, but it is not one-to-oneB. It is a one-to-one functionC. It is a many-to-one functionD. It is not a function 567.3What is the value of the digit 5 in this number? help asap will give brainly . A drawer is 5 feet wide, 4 feet deep. If the volume is 40, what is the height = n= 4/5 (m+7) help please (solve for m) Which of the following eventsincreased the demands for revolutionthat spread throughout Europe in the1830s-40s?A. The second and final exile of Napoleon Bonaparte.B. The French defeat in the Seven Years' War.C. The revolutionary events of the 18th and 19thcenturies. help please. I don't know it A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability thata randomly selected balloon would be green or orange? Someone help. I dont understand the question. 1. Which of these research questions is much too narrow? What are the rules of soccer? Who invented basketball? O Why do birds migrate? How do clocks work? Hey, can someone help me out with this? I don't understand how to solve it. All of the following statements are true of Marxs Communist Manifesto EXCEPT:a.Marx presented evidence showing class struggle throughout history.c.Marx referred to the laborers of society as the Proletariat and the employers as the Bourgeoisie.b.Marx promoted communism as a means to fix a broken government before it could return to a free market economy.d.Marx called for a collective government to eliminate classes within society.