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
Sonbull [250]
3 years ago
10

A circle has a circumference of \blue{6}6start color #6495ed, 6, end color #6495ed. It has an arc of length \dfrac{17}{3}

Mathematics
1 answer:
maw [93]3 years ago
8 0

Answer:

The central angle of the arc is 340°

Step-by-step explanation:

The formula for calculating the area of an arc = theta/360° × 2πr

Note that circumference of the circle = 2πr

The area of an arc = theta/360° × circumference of the circle

Given length of the arc = 17/3

Circumference of the circle = 2πr = 6

On substitution;

17/3 = theta/360 × 6

17/3 = theta/60

Cross multiplying;

3theta = 17×60

theta = 17×60/3

theta = 17×20

theta = 340°

You might be interested in
Please help! I keep on getting the wrong answer!
valentina_108 [34]

Answer:

CODE: 1977.98

Step-by-step explanation:

A.

(To get the closest answer, round the circumference to the nearest ten thousandth.)

C = 2(3.14)r                      Circumference formula: C = 2πr

C = 2(3.14)(3)

C = 18.84

B.

A = (3.14)r²

A = (3.14)(3)²

A = (3.14)(9)

A ≈ 28.26

C. (It's asking for the circumference.)

C = 2(3.14)r

C = 2(3.14)(58)

C ≈ 364.24

D. (It's a linear pair, which is 180 degrees.)

4x + 2x = 180

6x = 180

x = 30

m∠ABD = 4x

m∠ABD = 4(30)

m∠ABD = 120°

E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)

x + 7 = 3x - 21

28 = 2x

14 = x

F. (x = 14)

m∠JHK = 3x - 21

m∠JHK = 3(14) - 21

m∠JHK = 42 - 21

m∠JHK = 21°

G. (Supplementary - two angles that add up to 180 degrees.)

180 - 84

= 96°

CODE: E(C - D) - F(G - B) - A

CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84

CODE: 14(244.24) - 21(67.74) - 18.84

CODE: 3419.36 - 1422.54 - 18.84

CODE: 1977.98

8 0
2 years ago
11 divided by 25.95=
Lelu [443]
2.35909090909 or 2.4
3 0
3 years ago
On my sister's 15th birthday, she was 159 cm in height, having grown 6% since the year before. How tall was she the previous yea
Zarrin [17]
It means that her height in this year is 106\%x in regards to the last year, where x is her height in last year, so:

159=106\%x

159=\frac{106}{100}x

159=\frac{53}{50}x

159*50=53x

159*50=53x

7950=53x

150=x
8 0
3 years ago
Solve it please with explanation Marty simplified the expression 2(x - 2) - 2(3) as 2x - 8. Is he correct? Explain why or why no
Kamila [148]

Answer: Marty is not correct

Step-by-step explanation:

2(x-2)-2(3) use distributive property

2x-4-6

2x-10

Marty is not correct

3 0
2 years ago
Read 2 more answers
2% of the students at Hamilton middle school have red hair. There are 700 students at Hamilton middle school how many students a
natali 33 [55]

Answer:

14 students I believe.

5 0
3 years ago
Other questions:
  • (Write As Unit Rate)<br> 12 Meters In 28 Seconds
    5·1 answer
  • ram is half his fathers age now. ten years ago he was one third his fathers age then what are their present ages
    6·1 answer
  • Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
    13·1 answer
  • HELP PLZ PLZ HELP ME is about cylinders and plz check ur work I have got this incorrect plz help me out THANK YOU :)
    6·1 answer
  •  help pleaseeeeee !!!! i’ll give brainliest !
    6·1 answer
  • 6<br> Express in exponential form.<br> I will mark you brainliest
    12·1 answer
  • Plsss help!! is this a right triangle if no or yes please explain why??
    11·2 answers
  • 8TH GRADE MATH
    10·1 answer
  • Which of the following statements are true about the lengths of the trails? Check all that apply.
    12·1 answer
  • Pls help I’ll give u 50 points for the right answer
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!