What is the area
of a sector
when 0=pi/2 radians and
8/
3?

What Is The Areaof A Sectorwhen 0=pi/2 Radians And8/3?

Answers

Answer 1

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}~~ \begin{cases} r=radius\\ \theta =\stackrel{radias}{angle}\\[-0.5em] \hrulefill\\ r=\frac{8}{3}\\ \theta =\frac{\pi }{2} \end{cases}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{8}{3} \right)^2~~}{2}\implies A=\cfrac{~~ \left( \frac{\pi }{2} \right)\left( \frac{64}{9} \right)~~}{2} \\\\\\ A=\cfrac{~~\frac{32\pi }{9} ~~}{\frac{2}{1}}\implies A=\cfrac{32\pi }{9}\cdot \cfrac{1}{2}\implies A=\cfrac{16\pi }{9}[/tex]


Related Questions

Order these numbers from least to greatest.
7.773, 157/20, 7.77, 7 9/11

Answers

Answer:

7.77, 7.773, 7 9/11, 157/20

Step-by-step explanation:

First, convert any fractions to decimals to make it a bit easier to order.

7.773, 157/20, 7.77, 7 9/11

157/20 = 7.857 9/11 => 86/11 => 7.82

Now we have:

7.773, 7.85, 7.77, 7.82

Order from least to greatest:

7.77, 7.773, 7.82, 7.85

Rewrite using the original numbers in the question:

7.77, 7.773, 7 9/11, 157/20

Hope this helps!

An account with a $250 balance accrues 2% annually. If no deposits or withdrawals are made, which graph can be used to determine approximately how many years will it take for the balance to be $282?

Answers

Answer:

D. Graph 4 In an account with 250$ balance that accrues 2% annually, with no deposits or withdrawals, it takes 6 years and 6 months for the balance to be 282$

Step-by-step explanation:

if the balance accrues 2% annually, then that means every year the amount increases by 100% + 2% = 102%

102%= 102/100 = 1.02

if we multiply the balance in the account with 102% or by 1.02 at the beginning of each year we will get the amount accrued at the end of the year

First year: $250 x 1.02 = $260.1

Second year: 260.1 x 1.02 = $265.302

Third year: 265.302 x 1.02 = $270.60802

we can use these points to create a graph that will help us estimate at what year the amount will be 282$

Answer:

D

Step-by-step explanation:

by first rounding each number to 1 significant figure, estimate the answer to 427+941​

Answers

Answer:

1300

Step-by-step explanation:

Which object would have a measurable volume? A bunch of polaroid pictures. A beach ball. A sheet of loose leaf paper. A checker board.


Help!!

Answers

Answer:

its ethier the photo or the beach ball but i dont know which is

Step-by-step explanation:

Answer:A beach ball.

Step-by-step explanation:

Reemplaza los valores en las expresiones y resuelve

Answers

Substitute values ​​into expressions and solve??

James and his family spend a morning picking peaches. They fill several bags. This line plot shows the weight of each bag.


How many more pounds does one of the heaviest bags weigh than one of the lightest bags?

Answers

The number of pounds that one of the heaviest bag weighs more than one of the lightest bag in the given line plot is: 1½

What is a Line Plot?

In a line plot, frequency of a data point is either represented by a dot or a mark.

In the line plot given:

Heaviest bag weighs 5¾

Lightest bag weighs 4¼

The difference between the heaviest and lightest bag = 5¾  - 4¼

= 23/4 - 17/4

= (23 - 17)/4 = 6/4 = 3/2

= 1½

The heaviest bag weighs 1½ pounds than the lightest bag.

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How much would
$550 invested at 9%
interest compounded
annually be worth
after 8 years?

Answers

After 8 years the worth would be $1,095.91

After 8 years the worth would become $1,095.91

How to find the compound interest?

If n is the number of times the interest is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

We are given that $550 invested at 9% interest compounded annually be worth after 8 years.

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

a = 550 (1 + 0.09)^8t

a = 550 (1.09)^8t

a =1,095.91

Hence, the worth would be; $1,095.91

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Your invest $88,000 a CD that is locked into a 1.75% interest rate compounded monthly for seven years how much will Urich have an account with the CD matures

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$88000\\ r=rate\to 1.75\%\to \frac{1.75}{100}\dotfill &0.0175\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases}[/tex]

[tex]A=88000\left(1+\frac{0.0175}{12}\right)^{12\cdot 7}\implies A=88000\left( \frac{4807}{4800}\right)^{84}\implies A\approx 99459.21[/tex]

Please help! Area of part of a circle!!!

Answers

the answer to this question or statement is 24 because 120-96=24

Work out the area of the shape drawn below.
6 m

Answers

Answer:

28.3 m²

Step-by-step explanation:

The formula to find the area of a quadrant: 1/4 x π x r², where r is radius (diameter ÷ 2) and π is 3.14 or 22/7 or 3.142.

1) Substitute the values into the formula.

= 1/4 x 22/7 x 6²

2) Solve it.

= 1/4 x 22/7 x 36

= 1/4 x 113.14

= 28.285

2) Round the answer to one decimal place.

= 28.3

Find the perimeter of the figure below. Show all work for each step. Work should include explanations in words detailing how you simplify each specific radical. Take your time and be thorough. Include units in final answer.

Answers

Applying the knowledge of radicals, the perimeter of the given triangle is calculated as: 63√6 cm

What is the Perimeter of a Triangle?

To find the perimeter of a triangle, add up the length of all its three sides.

Given the trangle in the image:

Perimeter = 12√54 + 15√6 + 6√24

Simplify each radicals

12√(9 × 6) + 15√6 + 6√(4 × 6)

12 × 3√6 + 15√6 + 6 × 2√6

36√6 + 15√6 + 12√6

Add like radicals together

Perimeter = 63√6 cm

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Give the equation of the circle centered at the origin with radius 3.

Answers

The answer for number 3 is the radius of 4 divided by 3

Find the values of x,y, and x in a circle

Answers

Answer: x=20, y=z=160

Step-by-step explanation:

I need help with number three please someday help it’s stats

Answers

Answer:

I don't really know but I'm curious haha

Find the product of 40 and
100.

Answers

Answer:

4000

Step-by-step explanation:

Product just means multiply!

40 × 100 = 4000

Answer:

4000

Step-by-step explanation:

40 times 100 is 4000

take the 4 and put the amount of 0's in the equation behind it ( there are 3 in total, 2 from the 100 and 1 from the 40): 4000

Joyce paid $38.50 for an item at the store that was 65 percent off the original price. What was the original price?

Answers

Answer:

25.025

Step-by-step explanation:

x/38.50=65\100 cross multiply and divide by the 100 so now x=Original price=25.025

How many cups of mashed potatoes were four people get if they equally shared 3/4 cup of potato

Answers

Answer:

3/4 x 2 = 6/8 6/8 ÷ 4 = 2/8

so each person would get 2/8 cups of potatoes

Help picture below problem 23

Answers

Answer: 7 hours.

Step-by-step explanation: Randall can assemble 5 race car tracks in an hour and Diggery can assemble 4 race car tracks in an hour.  To see how many hours it takes to make 63 race car tracks, you need to add 5 and 4, since Randall and Diggery are working together.  Both of them combined can make 9 race car tracks in total every hour.  63 can be divided by 9, which is 7.  Therefore, it'll take 7 hours for both of them to make 63 race car tracks.

Let me know if this is right! :)

9. A bag of candy weighs 11 3/4 ounces. You get 1/8 of the bag. What is the weight of your share in ounces?​

Answers

Answer:12 1/8

Step-by-step explanation:

you add the denomunator in order to get your answer

Which of the following is a root of the polynomial function below?
F(x) = x2-3x2+x+5
O A. -2+1
O B. 2
O C. 2+1
O D. 1

Answers

The answer of the polynomial function is C.2+1

Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
a. take 2% of $50
b. take 8% of $46
c. take 10% of $46
d. take 18% of $50

Answers

Answer:

C. take 10% of $46

Step-by-step explanation:

Hope this helps you! :)

A right square pyramid is shown. The height of the pyramid is 40 units. The distance from the center of the base of the pyramid to vertex D is 30units, as shown.
Enter the length of segment AD, in units

Answers

Answer:

c=a2+b2

use the Pythagorean Theorem

Select all the correct locations on the image. Identify which functions have complex roots by selecting the function names on the provided coordinate plane.

Answers

The parabolae b, d and f seen in the real coordinate plane have complex roots.

What is the graphical criterion to determine what second order polynomial has complex roots?

Second order polynomials are algebraic equations of the form:

[tex]y = a\cdot x^{2}+b\cdot x + c[/tex]   (1)

Where:

a, b, c - Coefficientsx - Independent variabley - Dependent variable

A value of x is a root of the polynomial for y = 0, which can real or complex but not both according to the discriminant of the quadratic formula. If the polynomial has no real roots, then it does not pass through the x-axis in the real coordinate plane.

Therefore, the parabolae b, d and f seen in the real coordinate plane have complex roots. [tex]\blacksquare[/tex]

To learn more on quadratic functions, we kindly invite to check this verified question: https://brainly.com/question/4119540

Please Help Me!!!

The ratio of men to women working for a company is 4 to 3. If there are 161 employees total, how many men work for the company?

Answers

Answer:

I dont know

Step-by-step explanation: I hope someone can help you

select the place where the digit 2 sits in this number 428,031​

Answers

Answer:

The 2 is in the ten thousands place.

Answer:

In this case the number 2 would be located in the tens of thousands.

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

A team from the high school went on a science-and-math quiz show. The science questions were worth 3 points and the math questions were worth 1 point. The team answered a total of 16 questions and earned 36 points. How many questions did the team answer in each category?

Answers

Answer:

5 science questions and 1 math question

Step-by-step explanation:

i literally just counted on my fingers by 3

"Describe the domain and range of y=5(2)"

Answers

Answer:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞), {x|x∈R}

Range: {y|y=10}

(I apologize if this doesnt help)

pls answer me thus question​

Answers

Answer:

iii is the correct answer (the third one)

Step-by-step explanation:

additive inverse is the same as the reciprocal

It is when the denominator and numerator are swapped around

So the inverse of 3/9 is 9/3

Brainliest would be appreciated

NO LINKS!!!

At the dance the DJ is blaring music at 110 decibels. As he fades the music, the sound level decreases about 16% every second.
How long until the sound level falls below 30 decibels? (SHOW WORK!)

Equation:_____________________

Answer: ______________________​

Answers

We are given:
Initial sound Intensity: 110 dB
Rate of decreasing sound level: 16% every second


Constructing the equation:
Since the Intensity decreases by 16% of it's current value every second.
Intensity(t) = [tex]110 * (\frac{84}{100})^{t}[/tex]               [where t is the time elapsed]
In this equation, we multiply the initial sound intensity by 84% (since 16% was diminished).
because we are multiplying the same value by 84%, it will keep taking that percentage of the new value, which is what we need here because the music's intensity keeps becoming 84% of the previous value.


Time at which sound level falls to 30 dB:
replacing intensity by 30 in the equation we made.
[tex]30 = 110 * (\frac{84}{100})^{t}[/tex]
[tex]\frac{3}{11} = (\frac{84}{100})^t[/tex]
taking log of both sides.
[tex]log(\frac{3}{11}) = t*log(\frac{84}{100})[/tex]
[tex]\displaystyle \frac{log(\frac{3}{11})}{log(\frac{84}{100})} = t[/tex]

t = 7.452 seconds

Answer:

Equation:  [tex]y=110(0.84)^x[/tex]

(where x is the time in seconds, and y is the sound level in decibels)

Answer: The sound level falls below 30 decibels after 7.452 seconds (3 dp)

Step-by-step explanation:

We can model this as an exponential equation.

General form of an exponential equation: [tex]y=ab^x[/tex]

where:

a is the initial valueb is growth factorx is the independent variabley is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

If the sound decreases by 16% each second, then the growth (decay) factor will be 100% - 16% = 84%  →  0.84

Given:

a = 110 decibelsb = decreases by 16% each second = 0.84x = time (in seconds)y = sound level (in decibels)

Substituting these values into the equation:

[tex]\implies y=110(0.84)^x[/tex]

To find how long until the sound level falls below 30 decibels, set y < 30 and solve for x:

[tex]\begin{aligned}110(0.84)^x & < 30\\\\(0.84)^x & < \dfrac{3}{11}\\\\\ln (0.84)^x & < \ln \left(\dfrac{3}{11}\right)\\\\x \ln (0.84) & < \ln \left(\dfrac{3}{11}\right)\\\\x & > \dfrac{\ln \left(\dfrac{3}{11}\right)}{\ln (0.84)}\\\\x & > 7.452008851\end{aligned}[/tex]

Therefore, the sound level falls below 30 decibels after 7.452 seconds (3 dp)

which weight is greater than 5,000 lbs.

Answers

Answer:

6000 lbs is greater then 5000!

Step-by-step explanation:

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