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
belka [17]
3 years ago
14

What is the length of the arc if: 11. r=10 n=20 A15(pi)/ 7 B13(pi)/ 5 C16(pi)/ 2 D11(pi)/ 4 E 10(pi)/ 9 F 9(pi)/ 4 12. r=3 n=6 A

pi/9 Bpi/12 Cpi/26 Dpi/10 E pi/8 F pi/4 13. r=4 n=7 A8(pi)/55 B 6(pi)/12 C7(pi)/45 D2(pi)/22 E 9(pi)/18 F 7(pi)/37 14. r=2 n=x Ax(pi)/15 Bx(pi)/30 Cx(pi)/60 Dx(pi)/90 E x(pi)/120 F x(pi)/150 15. r=y n=x A x*y*pi/90 Bx*y*pi/30 Cx*y*pi/45 Dx*y*pi/27 E x*y*pi/180 F x*y*pi/115
Mathematics
1 answer:
Vilka [71]3 years ago
6 0

Step-by-step explanation:

The formula for arc length [for the angle in degrees] is:

L = 2\pi r \left(\dfrac{n}{360}\right)

here,

n = degrees

r = radius

using this we'll solve all the parts:

r = 10, n = 20:

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (10) \left(\dfrac{20}{360}\right)

from here, it is just simplification:

2 and 360 can be resolved: 360 divided by 2 = 180

L = \pi (10) \left(\dfrac{20}{180}\right)

10 and 180 can be resolved: 180 divided by 10 = 18

L = \pi \left(\dfrac{20}{18}\right)

finally, both 20 and 18 are multiples of 2 and can be resolved:

L = \pi \left(\dfrac{10}{9}\right)

L = \dfrac{10\pi}{9} Option (E)

r=3, n=6:

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (3) \left(\dfrac{6}{360}\right)

L = \dfrac{\pi}{10} Option (D)

r=4 n=7

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (4) \left(\dfrac{7}{360}\right)

L = \dfrac{7\pi}{45} Option (C)

r=2 n=x

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (2) \left(\dfrac{x}{360}\right)

L = \dfrac{x\pi}{90} Option (D)

r=y n=x

L = 2\pi r \left(\dfrac{n}{360}\right)

L = 2\pi (y) \left(\dfrac{x}{360}\right)

L = \dfrac{xy\pi}{180} Option (E)

You might be interested in
PLS HELP (LAST QUESTION)
rosijanka [135]

Answer:

You would have $18

Step-by-step explanation:

Have a good day!

4 0
3 years ago
Which combinations of transformations will always produce congruent figures? check all that apply
Vinvika [58]
You didnt provide the selections, but some answers would most likely be rotations, translations, and reflections.
4 0
3 years ago
Read 2 more answers
Can someone answer me this question?
photoshop1234 [79]

Answer:

oki...whats the question?

Step-by-step explanation:

UwU

8 0
3 years ago
Read 2 more answers
Simply this algebraic expression y-3/3+12
kondaur [170]

Answer:

add 12 +9 because i had that same answer on my quiz last week

3 0
3 years ago
Read 2 more answers
If y-18=14 what is the value of 3(y+5)?
svlad2 [7]
y-18=14\ \ \ /+18\\\\y-18+18=14+18\\\\y=32\\\\substitute\ to\ 3(y+5):\\\\3\cdot(32+5)=3\cdot37=111
4 0
3 years ago
Other questions:
  • HEEEEEEEEEEELP <br> PLEEEEEEEEEASE
    13·1 answer
  • Identify the variation as direct, inverse, joint or combined. s=c/t^3
    12·2 answers
  • Use the vertical line to determine if the graph is a function or not a function
    13·1 answer
  • Find the value of the expression for the given values.
    13·1 answer
  • The relation R is shown in the table below.
    10·2 answers
  • What is the Factors of 6
    5·2 answers
  • What is the x intercept of the line
    12·1 answer
  • In a group of 26 pupils, 3 play the flute only.
    5·2 answers
  • 1) Katie baked 215 cookies that she wants to divide equally among her 32 classmates. How many whole cookies will each student ge
    12·1 answer
  • Assessment started: undefined. Item 1 What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!