Find the area of the sector. Round your answer to nearest tenth.

Find The Area Of The Sector. Round Your Answer To Nearest Tenth.

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=20\\ \theta =90 \end{cases}\implies \begin{array}{llll} A=\cfrac{(90)\pi (20)^2}{360}\implies A=100\pi \\\\\\ A\approx 314.2 \end{array}[/tex]


Related Questions

What is the vertex of this
quadratic function?
y = 4(x-3)2 – 8

Answers

Answer:

The vertex of [tex]y = 4\, (x - 3)^{2} - 8[/tex] is at [tex](3,\, -8)[/tex].

Step-by-step explanation:

Consider a quadratic function with the point [tex](h,\, k)[/tex] as the vertex (for some constants [tex]h[/tex] and [tex]k[/tex].) It would then be possible to express this function in the vertex form [tex]y = a\, (x - h)^{2} + k[/tex] for some constant [tex]a[/tex] where [tex]a \ne 0[/tex]. (Note the minus sign in front of [tex]h[/tex].)

For example, the quadratic function [tex]y = 4\, (x - 3)^{2} - 8[/tex] in this question is expressed in this vertex form:

[tex]y = 4\, (x - 3)^{2} + (-8)[/tex].

The values of [tex]h[/tex] and [tex]k[/tex] are [tex]h = 3[/tex] and [tex]k = (-8)[/tex], respectively. Thus, the vertex of this parabola would be at the point [tex](3,\, -8)[/tex].

Answer:

[tex]\displaystyle [3, -8][/tex]

Explanation:

First off, this equation came from the quadratic equation [tex]\displaystyle [y = Ax^2 + Bx + C],[/tex]in which it was [tex]\displaystyle y = 4x^2 - 24x + 28.[/tex]In the vertex equation [tex]\displaystyle [y = A(x - h)^2 + k],[/tex]the vertex is represented by [tex]\displaystyle [h, k],[/tex]in which −h gives you OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be careful there.

I am joyous to assist you at any time.

electrician cuts a 21 ft piece of wire into two pieces. One piece is 4 ft longer than the other. How long are the​ pieces?

Answers

21=a+(a+4)

one piece is 8.5 ft

the other is 12.5 ft

In all, 54 children were assigned to the Montessori school and 115 to other schools at age three. When the children were five, parents of 38 of the Montessori children and 34 of the others could be located and agreed to and subsequently participated in testing. This information reveals a possible source of bias in the comparison of outcomes. Explain why. (Round your answers to the nearest whole number.) About % of Montessori parents participated in the study, compared to about % of the other parents. (c) One of the many response variables was score on a test of ability to apply basic mathematics to solve problems. Here are summaries for the children who took this test:

Answers

Full question attached

Answer:

Option C: because the percent of children compared differ too much

Explanation:

Sample Proportion of students from Montessori = students that participated from Montessori /total number of students assigned to Montessori

=30/54= 0.56

Sample proportion of students from other schools = students that participated I'm the study /total number of students assigned to other schools

=25/112

=0.22

We observe that there is a large difference(0.56-0.22) between the two sample proportions hence the bias

If lines and and cd are parallel,which if the following statements are true?

Answers

Answer:

A

Step-by-step explanation:

AB ll CD

what grade r u in btw ?

Please answer these two questions!

Answers

Answer:

the answer is B. this is because since they are on the same horizontal line, the distance is the value of the 3 plus the value of 6. so 6+3=9.

If you think about it in positives like 5 and 2, you'd subtract to get that the distance is 3. It's the same for -6 and 3.

Let's find

(-6,4)(3,4)

y=4

Distance of x axis we need

|-6|+36+39units

Given that f(x) = 3x + 2 and h(x) = x3, find (h o f)(2).

Answers

Answer/Step-by-step explanation:

This is what we know...

f(x) = 3x + 2 and h(x) = 3x and that h(2) or x=2

Given that info we can input our values into the variables.

f(2) = 3(2) + 2

Now according to the Order of Operations, we should multiply next.

f(2) = 6 + 2

Now according to the Order of Operations, we should add.

f(2) = 8

I don't know if your question wants it as a ordered pair or not so ignore this if there is any of those. The answer in an ordered pair would be (2,8)

Now we have to do the other equation.

Input our values into the variables

h(2) = 3(2)

Now according to the Order of Operations, we should multiply next.

h(2) = 6

I don't know if your question wants it as a ordered pair or not so ignore this if there is any of those. The answer in an ordered pair would be (2,6)

Hope this Helps! :)

If you have any extra questions, comment them and I will try my best to answer!

-SGO

Find the exact value. (SIMPLIFY & RATIONALIZE all answers!)
Sin195

Answers

Answer:

[tex]\frac{\sqrt{2}-\sqrt{6} }{4}[/tex]

Step-by-step explanation:

sin(x)==cos(90-x)

cos(90-195)

cos(-105)

cos(105)

cos(105)= [tex]\frac{\sqrt{2}-\sqrt{6} }{4}[/tex]

I need serious help with this.

Think About the Process, In Triangle ABC, m
A=?
B=?
C=?

Answers

when you write its thi t would be an acute triangle. Basically, the one you think of when you think triangle.

but when its multi step its c

Step-by-step explanation:

Sum exterior measure = ( n-2)*180

( n-2 ) *180

(3-2)*180

180

x+4x-2+5x = 180

10x-2 = 180

10x = 180+2

10x = 182

x = 18.2

A = x

A = 18.2°

B=5x

B = 5(18.2)

B = 91°

C = 4x-2

C = 4(18.2)-2

C = 72.8-2

C = 70.8°

I will give brainlisted for correct answer!

Look at the function below.
f(x) = 5.25

Which of the choices correctly describe x?
I. an element of the domain
II. an element of the range
ill. an input value
IV. an output value
A.) I and IV
B.) only |
C.) I and III
D.) only III

Answers

Answer:

C

Step-by-step explanation:

x is an input value and an element of the domain. f(x), the range, is 5.25.

Ms. James bought 3 world maps for her classroom. The total cost of the 3 maps was $73.77. The clerk told Ms. James that each map cost $2.45. Do you agree with the clerks calculations? Explain your reasoning.


please help ASAP please will give branlyist if i can figure it out

Answers

Answer:

The clerk is wrong because the total cost per map is $24.59

Step-by-step explanation:

since you know that you spent $73.77 for 3 maps you can set up the equation 73.77 = 3X (where x = cost per map)

once you divide 73.77 by 3 you get 24.59 and that equals the price per map

if it was like the clerk said and each map was 2.45 then the total cost shoud have been 7.35.

The cost of manufacturing a single DVD is represented by: C(x) = 0.35x+ 1.75. What is the cost of manufacturing 12 DVDs?

Answers

Answer:

£5.95

Step-by-step explanation:

To find the cost of 12 DVDs, let x = 12

C(12) = 0.35 x 12 + 1.75

C(12) = 4.2 + 1.75

C(12) = 5.95

The cost of manufacturing 12 DVDs is $5.95.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, the cost of manufacturing a single DVD is represented by C(x) = 0.35x+ 1.75.

When, x=12

C(12)=0.35×12+1.75

C(12)=5.95

Therefore, the cost of manufacturing 12 DVDs is $5.95.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Solve the following system of equations two ways:

First solve using elementary row operations (you may use back-substitution if you like). Make sure you annotate your work clearly.
Second solve by expressing the system as a matrix equation of the form Ax=b (make sure you provide some explanation of where this matrix comes from.), find A^-1, and then multiply both sides of the equation with A^-1.

Here is your system of equations:
x + y - 2 = 4
2x – y + z = 2
-3x + y + 5z = 2

Answers

Answer:

im sorry this is not an answer, im just doing this to complete my profile sorry

write the percentage as a fraction in the lowest terms 7 1/4%=

Answers

28/4 or 7

Well, I looked it up. Ain't gonna lie

Nonsense will be reported!!​

Answers

Answer:

Step-by-step explanation:

[tex]\bf \left( \dfrac{-11}{2} * +3 \right) -2*\left(\dfrac{11}{4}x-\dfrac{5}{2} \right) =\left( \dfrac{-33}{2} \right) - 2*\dfrac{11}{4}x - (-2) * \dfrac{5}{2}\\\\\\[/tex]

                                                   [tex]\bf = \dfrac{-33}{2}-\dfrac{11}{2}x + \dfrac{10}{2}\\\\\\ = \dfrac{-33-11x+10}{2}\\\\\\ = \dfrac{-23-11x}{2}[/tex]

for each ordered pair determine whether it is a solution to 2x+7y=-5

(-6, 1)
(9, 2)
(8, -3)
(-5, -4)

Answers

Hey there!

In  order to determine whether an ordered pair is a solution, all we have to do is plug in the values of x and y and see if we end up with a true statement.

The first pair is (-6, 1)

plug in 1 for y and -6 for x:

2(-6)+7(1)=-5

-12+7=-5

-5=-5

Yep! Here we have a true statement.

Therefore, this ordered pair is a solution.

2(9)+7(2)=-5

18+14=-5

Well, we can see that we have a false statement, because

32≠-5

and ≠ means "not equal to"

Let's try the third ordered pair.

2(8)+7(-3)=-5

16-21=-5

-5=-5

Great! We have another true statement :)

Let's try the last option.

2(-5)+7(-4)=-5

-10-28=-5

-38=-5

As we can see, we ended up with a false statement.

-38≠-5

Hence,

[tex]\boxed{\boxed{\bold{options~A~and~C~are~correct.}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

the midpoint of (1,4) and (-7,10)

Answers

Answer:

i’m pretty sure the answer is y=3/4x-13/4

Step-by-step explanation:

7500 in account paying 1.5 compound interest, how much after 8 years

Answers

Answer:

The amount of money after 8 years is $8448.69

Step-by-step explanation:

The rule of the compound interest is  

[tex]A=p(1+r)^{t}[/tex] , where

A is the new valueP is the original valuer is the rate in decimalt is the time in years

∵ There is $7500 in an account

P = 7500  

∵ The account paying 1.5% compound interest

r = 1.5% = 1.5/100 = 0.015  

∵ The money will invest for 8 years

t = 8

→ Substitute all of these values in the rule above to find A  

∵  [tex]A=7500(1+0.015)^{8}[/tex]

→ Use your calculator to find the answer  

A = 8448.69

The amount of money after 8 years is $8448.69

A package of 24 Oreo cookies cost $3.89. How much would 3 cookies cost? 5 cookies?

Answers

Answer:

3 equals 49 cents 5 equals 81 cents

What is the y-intercept for the equation y=-4(x – 3)2 +1?

Answers

Answer:

(0,25)

Step-by-step explanation:

Answer:

I believe the y intercept is (0,25)

Which sequences are geometric? Select three options.

Answers

Answer:

there are no sequences pls edit or repost so i can help : )

An art teacher had 2/3 gallon of paint to pour into containers. If he poured 1/8 gallon of paint into each container untill he ran out of paint. How many containers had paint in them including the one that was partially filled

Answers

Answer:

Ok 2/3 / 1/8 = 2/3 *8 = 16/3. 16/3 is 5.33 which is 5 and a third of a container which is counted in this so 6 is the answer

Step-by-step explanation:

There are 230 cal in a 48G packet of Eminem how many calories are in a 33.60 g bag?

Answers

The answer will be 160.99 or 161????

1/2 × 1/2
Solve pls i need help on thus ​

Answers

Answer:

=> 1/2 × 1/2

=> 2/2

=> 1

--------------------------

Answer

1/2 • 1/2

time the numerator by the numerator and time the denominator by the denominator to get

1/4 which equal too 0.25

PLEASE HELP WILL GIVE BRAINLIEST!!!!

Answers

Answer:

  C E A F B D

Step-by-step explanation:

A function is translated to the right by h units when x is replaced by (x-h) in the function. So, the larger h is, the farther right the vertex of the quadratic is.

The vertices will be arranged left to right by the ordering ...

  [tex]\boxed{y=f(x+3)}\rightarrow\boxed{y=f(x+2)}\rightarrow\boxed{y=f(x)}\rightarrow\boxed{y=f\left(x-\dfrac{1}{2}\right)}\\\\\rightarrow\boxed{y=f(x-4)}\rightarrow\boxed{y=f(x-7)}[/tex]

NEED HELP ASAP

BEST ANSWER WILL BE MARKED AS BRAINLEST

Answers

Answer:20x2

Step-by-step explanation:

All equilateral triangles are ____
triangles

A. Right
B. Acute
C. Scalene
D. Obtuse

Answers

Answer:

Acute

Explanation:

Due to the fact that all the angles of an equilateral triangle have a measure of 60 degrees, the triangle must be acute as the measure of all acute angles are less than 180 degrees.

Answer:

Option B

Step-by-step explanation:

All equilateral triangles are "acute triangles" or option B. Acute triangles have degrees that are less than the degree of a right triangle which is 90 degrees. In this case all equilateral triangles have the sum of 60 degrees, which is less than the degree of a right triangle which means it is indeed a acute angle. It's not option D because obtuse triangles are triangles with angles that are more than 90 degrees, it's also not option C because each side of a scalene triangle is of different length in terms of degrees.

Hope this helps.

pls help

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.

Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

Answers

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Sandra brings 6 dolls to her grandma's house. These dolls represent 60% of her collection, as shown in the diagram. What is the total number of dolls in Sandra's collection.

Answers

Answer:

10

Step-by-step explanation:

60% of 10 is 6, so if 6 is 60% then 100% of them would be 10

A clock shows time as 1:10pm is 20 minutes fast what is the correct time

Answers

Answer:

12:50

Step-by-step explanation:

in time after 60 minutes it goes to the next hour

so since is 20 minutes faster we are going to take it back 20 minutes backward

--› 1:10{when going backwards after 1:00 is 12:59}

--› 1:10 - 20

--› 12:50

The correct time on the clock is given by the equation A = 12 : 50 PM

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the correct time on the clock be represented as A

Now , the equation will be

The present time on the clock P = 1 : 10 PM

And , the time on the clock is 20 minutes faster than the actual time

So , substituting the values in the equation , we get

The correct time on the clock is given by A = present time on the clock P - 20 minutes

On simplifying the equation , we get

The correct time on the clock is given by A = 12 : 50 PM

Therefore , the value of A is 12 : 50 PM

Hence , the equation is solved

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

A motorboat takes 3 hours to travel 108 kilometers going upstream. The return trip takes 2 hours going
downstream. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

45 km/h and 9 km/h

Step-by-step explanation:

Let the rate of boat in still water be b and the speed of the current be c

Speed downstream = b + cSpeed upstream = b - c

We got equations for time:

108/(b - c) = 3 ⇒ b - c = 36108/(b + c) = 2 ⇒ b + c = 54

Add up the equations:

b - c + b + c = 36 + 542b = 90b = 45 km/h

Then finding the values of c

c = 45 - 36 = 9 km/h
Other Questions
Which two human qualities does Doc Rabbit show in this scene?He lies.He is grateful.He speaks.He is stingy. He is thoughtful. Express the inequality b8 using interval notation How did the medieval Catholic Church apply its political power? A. Bishops advised rulers B. Monks advised Kongs C. Friars taught nobility D. Bishops published important books Electric utility poles in the form of right cylinders are made out of wood that costs $11.07 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft. Round your answer to the nearest cent. C a n_ I_P l s_H a v e_S u b s_O n_ Y T please help solve the formula for r. suppose a merry-go-round is spinning once every 3 seconds. is the point on the outside edge has a speed of 12.56 ft per second, what is the radius of the merry-go-round? (use 3.14 for ) Simplify - 9 - 3 + 7 - 1?a- 4b- 5 c- 1d 5 A regular hexagon is circumscribed about a circle with a radius of 15 feet. Find the area of the shaded region shown. (12.8)2 - (30+0.375) solve for x ( SHOW YOUR WORK ) Refer to Inside Out and Back Again for a complete version of this text. Which lines from ""Neigh Not Hee" in Inside Out and Back Again contain figurative language?"Paperwork, paperwork / with a woman who / pats my head ""Brother Quang / has to translate, / after all. ""the pity giver / feels better, / never the pity receiver. ""Turn right where flowers / big as dinner plates / grow strangely blue. " 3.089 less than or equal to 3.1 Find the area of a circle Can someone help pleaseeee If you know spanish help me with this activity Please answer! Giving brainilest to correct answer :)Alexis and Damian are both taking a course on picking a career. They go to the same art club so they both know what they enjoy doing. Surprisingly, Alexis and Damian might find careers in the Architecture and Construction Career Cluster that allow them to express themselves through art. Create a list of possible jobs in this cluster that could use an artistic person and explain a task that each job does that the two students might particularly enjoy. 1. In the period from 1890 to 1920, which development was the result of the other three?(1) labor union agitation in response to unemployment (2) Progressive Party plea for compulsory education (3) public outcry following numerous industrial accidents (4) passage of child labor laws by individual states As Egypt came into contact with other societies what did it do?a.it ignored themc.it began to adopt some of their ideasb.it tried to conquer themd.it regressed as a societyPlease select the best answer from the choices provided Laserscope Inc. is trying to determine the best combination of short-term and long-term debt to employ in financing its assets. Laserscope will have $16 million in current assets and $20 million in fixed assets next year and expects operating income (EBIT) to be $4,1 million. The company's tax rate is 40% and its debt ratio is 50%. The firm's debt will be financed by an conservative policy using $6 million of short-term debt. The short-term interest rate is 7.0% and the long-term interest rate is 10.3%. What is the return on shareholders' equity (ROE) under this policy Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?