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2 years ago

A circle has a sector with area 33 pi and central angle of 11/6 pi radians. What is the area of the circle?

Mathematics

2 answers:

MArishka [77]2 years ago

5 0

Answer:

Step-by-step explanation:

Area of the sector =

[pi*r^2*11*pi/6]/360=pi^2*r^2*11/6*360=pi*r^2*11*180/2160=33 pi

r^2=71280/11*pi=6480/pi=6480/180=36

Area of the circle=pi*r^2=36 pi

frosja888 [35]2 years ago

4 0

Answer:

The area of the circle is $36\pi\ units^{2}$

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of $2\pi$ radians

By proportion find the area of the circle

$\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}$

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Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend

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Answer:

Step-by-step explanation:

243÷13=18remainder9

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2 years ago

Read 2 more answers

HELP WITH PROBABILITY PWEASEEE <br> (4 questions)

Aliun [14]

a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Step-by-step explanation:

We will write the sample space of all options one by one.

a. Rolling a 6 sided die

As the die has six sides numbered from 1 to six then the sample space will be:

S1 = {1,2,3,4,5,6}

b. Guessing the first initial of a student's name:

As the English language has 26 alphabets, the first initial can be any alphabet so the sample space will be all letters:

S2 = {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. Tossing two coins

As two coins are tossed, the outcomes will be a combination of two outcomes

S3= {HH,HT,TH,TT}

d. Rolling a 6 sided die and tossing a coin

As the die is rolled and then a coin is tossed. The die's coin will either combine with heads or tails

So,

S4 = {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Hence,

a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Keywords: Sample Space, Probability

Learn more about sample space at:

brainly.com/question/11007026

brainly.com/question/11207748

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3 years ago

A flyer is spread by people

Vikki [24]

Answer:

A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of - Brainly.in Find an answer to your question A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. there you go buuuuuudy

Step-by-step explanation:

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3 years ago

What is the equivalent ratio of 1:2

Paraphin [41]

What the answers choices?

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2 years ago

Accountants at the Tucson firm, Larry Youdelman, CPAs, believed that several traveling executives were submitting unusually hi

77julia77 [94]

Answer:

a) $Y= 90 +46.50(5) +0.35 (340) =441.50$

b) The accountant should not question the voucher as the request is much higher than expected.

c) We can add the following variables

d) The percentage of variation in the trip cost that can be explained by the model = (0.64)^2 =0.4096 or 40.96%

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Step-by-step explanation:

Part a

For this case we have the multiple regression model given by:

$Y= 90 +46.50 x_1 +0.35 x_2$

Where $x_1$ represent the number of days on the road and $x_2$ the distance traveled in miles.

And we want to find the expected amount from a 340-mile trip that took her out of town for 5 days, so we just need to replace x1= 5 and x2=340 and we got:

$Y= 90 +46.50(5) +0.35 (340) =441.50$

Part b

The expected value taking in count that x1 = 5 and y = 340 is:

$Y= 90 +46.50(55) +0.35 (340) =441.50$

And the difference from the obtained value is : 685-441.50=243.5

So then the correct answer would be:

The accountant should not question the voucher as the request is much higher than expected.

Part c

We can add the following variables

A. Type of travel (air/car)

B. Gender of the executive (male/female)

The last option is not too important since we are analyzing the traveling executives not the type of business

Part d

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The coefficient of determination "is a measure used in statistical analysis that assesses how well a model explains and predicts future outcomes. It is indicative of the level of explained variability in the data set".

The percentage of variation in the trip cost that can be explained by the model = (0.64)^2 =0.4096 or 40.96%

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2 years ago