1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mestny [16]
1 year ago
6

The area of a sector of a circle with a central angle of 150° is 73 m^2. Find the radius of the circle.

Mathematics
1 answer:
Mnenie [13.5K]1 year ago
6 0

The radius of the circle with sector area 73 square meters and centeral angle 150 degrees is 7.5m.

According to the given question.

The area of the sector of the circle is 73 square meter.

And, central angle, θ = 150 degrees

Since, if θ is the angle substended at center of the circle with radius r, then the area of sector of a circle is given by

A = \frac{\theta}{360^{o} } \times \pi r^{2}

Where,

A is the area of sector

And, π = 3.14

Thereore, the radius of the circle with the sector area 73 square meter and central angle 150 degrees is given by

73 = \frac{150}{360} \times 3.14\times (radius)^{2}

\implies 73 = 0.4166\times 3.14\times(radius)^{2}

\implies (radius)^{2} = \frac{73}{0.4166\times\ 3.14}

\implies (radius)^{2} = \frac{73}{1.30}

\implies (radius)^{2} = 56.153

⇒ radius = √56.153

⇒ radius = 7.49 ≈ 7.5m

Hence, the radius of the circle with sector area 73 square meters and centeral angle 150 degrees is 7.5m.

Find out more information about sector area and radius of the circle here:

brainly.com/question/15849991

#SPJ4

You might be interested in
A student concludes that for all values of x,x^2+x+1 produces a prime number. Which value of x serves as counterexample to prove
Dafna11 [192]

Answer:

j

Step-by-step explanation:

Substitute the given values into x² + x + 1 and check if result is prime

x = - 4

(- 4)² - 4 + 1 = 16 - 4 + 1 = 13 ← prime

(- 2)² - 2 + 1 = 4 - 2 + 1 = 3 ← prime

(- 3)² - 3 + 1 = 9 - 3 + 1 = 7 ← prime

4² + 4 + 1 = 16 + 4 + 1 = 21 ← not prime

x = 4 serves as a counterexample to disprove this conclusion

5 0
2 years ago
Is 10h - 10 equal to10 - 10h
Black_prince [1.1K]

Answer:no

Step-by-step explanation:

it’s equal to -10 + 10h by the commutativity of addition and subtraction

6 0
2 years ago
Which of the following algebraic equations is equivalent to ?
ipn [44]

If it's mutiple choice can I see the options :) would make this easier

8 0
3 years ago
Read 2 more answers
Someone please help me quickly i will give brainlyist
scZoUnD [109]

(16,5) it should be

16 input

5 output

if you went to 5 ont he y-axis and keep going till it hits the line the x seems to be 16.

im deeply sorry if this is wrong.

4 0
3 years ago
The projected population of Tennessee in 2030 is
lapo4ka [179]

Answer:

Population  

Population estimates, July 1, 2019, (V2019) 6,829,174

Population estimates base, April 1, 2010, (V2019) 6,346,276

Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%

Population, Census, April 1, 2010 6,346,105

Age and Sex  

Persons under 5 years, percent 6.0%

Persons under 18 years, percent 22.1%

Persons 65 years and over, percent 16.7%

Female persons, percent 51.2%

Race and Hispanic Origin  

White alone, percent 78.4%

Black or African American alone, percent(a) 17.1%

American Indian and Alaska Native alone, percent(a) 0.5%

Asian alone, percent(a) 2.0%

Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%

Two or More Races, percent 2.0%

Hispanic or Latino, percent(b) 5.7%

White alone, not Hispanic or Latino, percent 73.5%

Population Characteristics  

Veterans, 2015-2019 431,274

Foreign born persons, percent, 2015-2019 5.1%

Housing  

Housing units, July 1, 2019, (V2019) 3,028,213

Owner-occupied housing unit rate, 2015-2019 66.3%

Median value of owner-occupied housing units, 2015-2019 $167,200

Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244

Median selected monthly owner costs -without a mortgage, 2015-2019 $388

Median gross rent, 2015-2019 $869

Building permits, 2019 41,361

Families & Living Arrangements  

Households, 2015-2019 2,597,292

Persons per household, 2015-2019 2.52

Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%

Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%

Computer and Internet Use  

Households with a computer, percent, 2015-2019 87.1%

Households with a broadband Internet subscription, percent, 2015-2019 78.4%

Education  

High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%

Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%

Health  

With a disability, under age 65 years, percent, 2015-2019 11.0%

Persons without health insurance, under age 65 years, percent 12.1%

Economy  

In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%

In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%

Total accommodation and food services sales, 2012 ($1,000)(c) 12,499,013

Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683

Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482

Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421

Total retail sales, 2012 ($1,000)(c) 91,641,605

Total retail sales per capita, 2012(c) $14,194

Transportation  

Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2

Income & Poverty  

Median household income (in 2019 dollars), 2015-2019 $53,320

Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859

Persons in poverty, percent 13.9%

BUSINESSES

Businesses  

Total employer establishments, 2018 138,269

Total employment, 2018 2,683,214

Total annual payroll, 2018 ($1,000) 125,736,019

Total employment, percent change, 2017-2018 1.3%

Total nonemployer establishments, 2018 539,987

All firms, 2012 550,453

Men-owned firms, 2012 302,249

Women-owned firms, 2012 195,694

Minority-owned firms, 2012 105,234

Nonminority-owned firms, 2012 434,025

Veteran-owned firms, 2012 59,379

Nonveteran-owned firms, 2012 469,392

GEOGRAPHY

Geography  

Population per square mile, 2010 153.9

Land area in square miles, 2010 41,234.90

FIPS Code

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The following table shows the probability of rolling the numbers 1 through 7 on a fair seven-sided die.
    13·1 answer
  • Combine like terms,<br><br> 1)c+19-4<br><br> 2)m+12-10
    14·2 answers
  • Line L bisects and is perpendicular to AB and CD, AB =140, and LM=24. what is the length of NQ?
    6·1 answer
  • the average rainfall in Clearview is 38 inches . this year 29.777 inches fell . How much less rain fell this year than falls in
    8·1 answer
  • What is greater 5.3 or 5.30
    11·2 answers
  • 3 is what percentage of 5
    14·2 answers
  • PLEASE DON'T SEND A LINK
    10·2 answers
  • Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels? Move decimal O $0.42 0 $4.20 Divi
    9·1 answer
  • 10 Tom created the floor plan below for the pre-k section of a school playground. It is made up
    14·1 answer
  • A room is 5 meters by meters . How many square 14-inch tiles will it take to floor the room ? I meant to say a room is 5 meters
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!