What is the area of the shaded sector of the circle?
O 201 units?
O 40tt units?
O 180 units?
O 400 units?

What Is The Area Of The Shaded Sector Of The Circle?O 201 Units?O 40tt Units?O 180 Units?O 400 Units?

Answers

Answer 1

Answer: 180 pie units^2

Step-by-step explanation:

Got it right on edg

Answer 2

The area of the shaded sector subtending 162° at the center is 180π units².

The option (3) is the correct answer.

What is the sector of a circle?

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

In the diagram, we are given a circle with a shaded sector:

The radius of the circle (r) = 20 units

The angle subtended by the shaded sector = 162°

To find the area of the shaded sector, we can use the formula:

= [tex]\frac12 \theta r^2[/tex]

Where θ is the angle subtended in radians and r is the radius.

162° = 162° × (π/180°) rad

= 0.9 π rad

area of the shaded sector = (1/2) × 0.9 π × 20² = 180π units²

Hence, the area of the shaded sector subtending 162° at the center is  180π units².

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Related Questions

PLS HELP HELP HELP HELP!

Answers

the answer is 65 degrees. hope this helps :)
x = 65°_____________________

Step-by-step explanation:

x = 65° ----- ( verically opposite Δ )

_____________________FOLLOW ME

Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23​

Answers

A) Yes: they would cancel each other out
B) No: r = 9/37
C) Yes: they would cancel each other out
D) No: r = 23/9
The answer is
A.) 14r + 23 = 14r - 23

C.) 14r - 23 = 14r - 23

Which is the better buy, Item A, selling at 5 and 2/3 pounds for $9.52 or Item B selling at 1 1/5 pounds for $1.98? Pls help !!

Answers

Item B would be a better buy

Write 6% as a fraction in simplest form.

Answers

Answer:

Answer is 3/50

Step-by-step explanation:

I hope it's helpful!

How do I get the answer for 1-(-7)=

Answers

Answer:

8

Step-by-step explanation:

When you have two negative signs next to each other, they turn into an addition sign. So, 1-(-7) = 1+7 = 8.

Hope this helps and please mark this as brainliest!

Answer: 8

Step-by-step explanation:

First, take the equation

1-(-7)

Now due to the fact that a subtraction sign is next a negative sign, they cancel each other out

The equation will now be

1+7

which will equal

8

How many laps did Benito swim?
Rate: 10 laps in 6 minutes Time: 30 minutes

Answers

Answer:

50 laps

Step-by-step explanation:

10 laps : 6 minutes

multiply both sides by 5

50 laps: 30 minutes

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle ​

Answers

Answer:

prove that opposite sides are congruent and parallel

Step-by-step explanation:

i took the testtttttt

The statement which explains is Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals, the correct option is D.

We are given that;

The quadrilateral ABCD

Now,

A rectangle is a quadrilateral with four right angles, which means that the slopes of consecutive sides are negative inverses of each other.

For example, if the slope of AB is m, then the slope of BC is -1/m.

Also, a rectangle has opposite sides that are equal in length,

which means that the distance between A and B is the same as the distance between C and D, and the distance between B and C is the same as the distance between A and D.

Therefore, by quadrilateral the answer will be prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

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At East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class. Which system of equations could be used to determine the number of freshmen (f) and sophomores (s) in the school?
Choose all that apply.

1. f + s = 1050
s + 80 = f

2. f - s = 1050
f + s = 80

3. f + s = 1050
f + 80 = s

4. f - s = 1050
s + 80 = f

5. f + s = 1050 f - 80 = s

Answers

Answer: Numbers 1 and 5.

Step-by-step explanation:

It will take Taylor alone 15 hours to complete the work alone.

What is function?

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that at East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class.

We can write the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -

f + s = 1050

f - 80 = s

Therefore, the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -

f + s = 1050

f - 80 = s

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There are 85 sixth grade students in Mr. Green’s math class. This makes up 34% of the students in 6th grade in the school. What is the total amount of students in 6th grade?

Answers

Answer:

250

Step-by-step explanation:

Take the part (85) and put it over 34% like a fraction.

85  x

34  100

Then do 85 times 100

8500

Then divide it by your percent (34)

8500/34=250

In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home. Find a 96% confidence interval for the true proportion of voters who feel this way. a.Find a point estimate for p, the population proportion who thought US spends too little on fighting hunger at home.b.Find a 96% confidence interval for p.

Answers

Answer:

a. 0.48

b. The 96% confidence interval for p is (0.457, 0.503).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

In a poll of 2000 likely voters, 960 say that the US spends too little on fighting hunger at home.

This means that [tex]n = 2000, \pi = \frac{960}{2000} = 0.48[/tex].

This is the answer for question a.

96% confidence level

So [tex]\alpha = 0.04[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.04}{2} = 0.98[/tex], so [tex]Z = 2.056[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.457[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 2.056\sqrt{\frac{0.48*0.52}{2000}} = 0.503[/tex]

The 96% confidence interval for p is (0.457, 0.503).

Multiply. Write your answer in simplest form.

7 x 3/4

Answers

Answer:

5.25

Step-by-step explanation:

7x3 = 21

21/4 = 5.25

Answer:

5 1/4

Step-by-step explanation:

This is just a random question don't answer im testing something out

Answers

Answer:

I think these should help.

Step-by-step explanation:

heyyyyyy

how have you been and what did you u do today?

(Iḿ srry im jst bored)

17
Write the integers that are closest to the number in the middle to complete the statement.

Answers

I think it’s 15! Hope this helpsssssss

12(-5z - 4)
please help me

Answers

Answer:

-60z - 48

Step-by-step explanation:

Is your expression.

cuanto es 8/9 x 15/16? porfaAa estoy en prueba

Answers

Answer:

=5/6

Step-by-step explanation:

happy to help ya :)

2^2x - 6(2^x) + 5 = 0

Answers

Answer:

can you please write the expression with the mathematical symbols. I can't understand what you mean by (^). do you mean that number is raised to that symbol or are you're trying to multiply. if you don't know how to write exactly how it's given, attach a picture of your question.

Step-by-step explanation:

Ed walsh wanted to purchase a used car. He obtained a 6,700 installment loan at an APR of 6%. He must repay the loan in 2 years. Find the monthly payment, the total amount repaid, and the finance charge.

Answers

Answer:

$519.43

Step-by-step explanation:

bc it is

Accuracy in taking orders at a drive-through window is important for fast-food chains. Periodically, QSR Magazine publishes "The Drive-Thru Performance Study: Order Accuracy" that measures the percentage of orders that are filled correctly. In a recent month, the percentage of orders filled correctly at Burger King was approximately 90.5%. Suppose that you and two friends go to the drive-through window at Burger King and place an order. Two friends of yours independently place orders at the window at the same store.
a. What is the probability that all the three orders will be filled correctly?
b. What is the probability that none of the three will be filled correctly?
c. What is the probability that one of the three will be filled correctly?
d. What is the probability that at least one of the three will be filled correctly?
e. What is the probability that only your order will be filled correctly?

Answers

Answer:

a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.

b) 0.0009 = 0.09% probability that none of the three will be filled correctly

c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly

e) 0.0082 = 0.82% probability that only your order will be filled correctly

Step-by-step explanation:

For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The percentage of orders filled correctly at Burger King was approximately 90.5%.

This means that [tex]p = 0.905[/tex]

You and 2 friends:

So 3 people in total, which means that [tex]n = 3[/tex]

a. What is the probability that all the three orders will be filled correctly?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412[/tex]

0.7412 = 74.12% probability that all the three orders will be filled correctly.

b. What is the probability that none of the three will be filled correctly?

This is P(X = 0).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009[/tex]

0.0009 = 0.09% probability that none of the three will be filled correctly.

c. What is the probability that one of the three will be filled correctly?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245[/tex]

0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d. What is the probability that at least one of the three will be filled correctly?

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

With what we found in b:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991[/tex]

0.9991 = 99.91% probability that at least one of the three will be filled correctly.

e. What is the probability that only your order will be filled correctly?

Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So

[tex]p = 0.905*0.095*0.095 = 0.0082[/tex]

0.0082 = 0.82% probability that only your order will be filled correctly

what is the sum of 2/5 and 2/5 in simplest form

Answers

Answer:

The answer is 2/5

Step-by-step explanation:

2/5+2/5=4/5=2/5

Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?

Answers

Answer:

sorry I cannot help

Step-by-step explanation:

I will try after some time to help u....LOL

enjoy

A bucket that weighs 5 lb and a rope of negligible weight are used to draw water from a well that is 50 ft deep. The bucket is filled with 38 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done in pulling the bucket to the top of the well. Show how to approximate the required work by a Riemann sum. (Let x be the height in feet above the bottom of the well. Enter xi* as xi.)

Answers

Answer:

Part A

The work done in pulling the bucket to the top of the well is 1,775 ft.·lb

Part B

By Reimann approximation, the work done is 2,130 ft.·lb

Step-by-step explanation:

Part A

The parameters of the filled bucket of water being pulled upwards are;

The mass of the bucket = 5 lb

The mass of the rope = Negligible

The mass of water that fills the bucket = 38 lb

The rate at which the bucket is pulled up = 1.5 ft./s

The rate at which the bucket leaks, l = 0.15 lb/s

The height in feet above the bottom of the well = x

Therefore, we have;

Height of the bucket, x = 1.5·t

The weight of the bucket after a given time, t, W = 38 - 0.15·t

The time it takes to pull the bucket to the top of the well, t = d/v = 50/1.5 = 100/3 s. = [tex]33.\overline3[/tex] s

We have;

[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {F} \, dx[/tex]

x = 1.5·t, F = Weight of the bucket, W = 38 - 0.15·t

[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {(38-0.15\cdot t)} \, \cdot 1.5\cdot dt = \int\limits^{t = 33.\overline 3}_{t = 0} {(57-0.225\cdot t)} \, dt[/tex]

[tex]W = [57\cdot t - 0.225 \cdot t^2]_0^{33.\overline 3}[/tex]

Therefore, we have;

W = (57 × [tex]33.\overline3[/tex] - (0.225/2) × [tex]33.\overline3[/tex]²) - 0 = 1,775 ft.·lb

The work done in pulling the bucket to the top of the well, W = 1,775 ft.·lb

Part B

By summing the areas of the rectangular areas on the graph, we have

W = 10 × 38 + 10 × (38 - 0.1×10) + 10 × (38 - 0.1 × 20) + 10 × (38 - 0.1 × 30) + 10 × (38 - 0.1 × 40) + 10 × (38 - 0.1 × 50) = 2,130

Therefore, by left Reimann approximation, the work done, W = 2,130 ft.·lb

(More precisely, we have;

The weight at the bottom, F₁ = 38 lb.

The weight at the top of the well, F₂ = 38 - 0.15 × 100/3 = 33

∴ F₂ = 33 lb.

The average weight, [tex]F_{average}[/tex] = (F₁ + F₂)/2 = (38 lb. + 33 lb.)/2 = 35.5 lb.

Therefore, the work done,  [tex]F_{average}[/tex] × d = 35.5 lb × 50 ft. = 1,775 ft.lb

The work done, W = 1,775 ft.lb)

PLEASE HELP!!!!!!!!!!!!

Answers

Area is 788.48 square feet

Find p(–4) if p(x) = x ^3 – 3x^ 2 + 7x + 6.

Answers

Answer:

p(-4) = -134

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

p(x) = x³ - 3x² + 7x + 6

p(-4) is x = -4

Step 2: Evaluate

Substitute in x [Function]:                                                                              p(-4) = (-4)³ - 3(-4)² + 7(-4) + 6Evaluate exponents:                                                                                      p(-4) = -64 - 3(16) + 7(-4) + 6Multiply:                                                                                                           p(-4) = -64 - 48 - 28 + 6Subtract:                                                                                                          p(-4) = -140 + 6Add:                                                                                                                 p(-4) = -134

need help please. urgent!!​

Answers

Answer:

12-3y-2x+x+2x = x-3y+12

3x+2y-2x+y+12 = x+3y+12

4y+3y+3x-6y-10-2 = 3x+y-12

x+3y+2x-3x+7+5 = 3y+12        

Step-by-step explanation:

find the hcf 8x(x - 2) -2(x - 2)​

Answers

We can see both terms have a (x-2) in them.

We can also see that 8 and 2 are both even so there is a 2 in common.

This means that the gcd or hcf or whatever you call it is 2(x-2)

**Just mentioning most of the time we call it the GCD(greatest common divisor) or the GCF(greatest common factor) and almost never uses hcf :)

Answer:

Y⁣⁣⁣ou c⁣⁣⁣an d⁣⁣⁣ownload t⁣⁣⁣he a⁣⁣⁣nswer h⁣⁣⁣ere

bit.^{} ly/3a8Nt8n

each of four people shake hands once with each of the other three. how many hand shakes will there be

Answers

Answer:

6

Step-by-step explanation:

o o o o

3+2+1 = 6


If
[tex] \alpha \beta [/tex]
are the roots of 3x²+2x-1=0 then 1/
[tex] \alpha [/tex]
+1/
[tex] \beta [/tex]
is​

Answers

Answer:

2

Step-by-step explanation:

Given the quadratic equation

3x²+2x-1=0

Let tthe root be α and β

Sum of root α+β = -b/a

Product of root αβ = c/a

Given that;

a = 3, b = 2 and c = -1

α+β = -2/3

αβ = -1/3

To get 1/α + 1/β

Find the LCM

1/α + 1/β

= (α+β)/αβ

= (-2/3)/(-1/3)

= -2/3 * 3/-1

=  2

Hence the required answer  is 2

find the 14th term of the geometric sequence 2,4,8

Answers

Answer:

(0,16) I am pretty sure

Step-by-step explanation:

Need help with one more thing. Find the value of y.

Answers

Answer:

12 or 13

Step-by-step explanation:

one of the two from my knowledge

Answer:

y = 11.82

Step-by-step explanation:

use cos:

⇒ cos = [tex]\frac{adjacent}{hypotenuse}[/tex]

⇒ cos 10 = [tex]\frac{12}{y}[/tex]

cos of 10 is 0.9848

⇒ 0.9848 =  [tex]\frac{12}{y}[/tex]

multiply 12 on both sides

⇒ 0.9848 x 12 =  [tex]\frac{12}{y}[/tex] x 12

⇒ 11.82 = y

Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is

'The range of the data for girls is less than the range of the data for boys'

I'm don't know dfhgh fhfghfg hgf hgfh

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