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
mariarad [96]
3 years ago
10

How long is the arc intersected by a central angle of StartFraction 5 pi Over 3 EndFraction radians in a circle with a radius of

2 ft? Round your answer to the nearest tenth. Use 3.14 for Pi.
Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer:

10.5 ft

Step-by-step explanation:

When central angle is given in radians, the formula for arc length = r × θ

θ = central angle = 5π/3 radians

π = 3.14

r = 2 ft

Hence,

Arc length = 2 ×( 5 × 3.14)/3

= 10.466666667 ft

Approximately to the nearest tenth = 10.5 ft

Therefore, the length of the arc is 10.5 ft

You might be interested in
Kinda confused on this question.
salantis [7]
6x+5= 9x-4
9=3x
3=x
To find RS you need to substitute x back into the equation
9(3)-4
27-4
23

23 is the answer
6 0
3 years ago
What is the soloution to -4x+2=-14​
docker41 [41]

Answer:

x = 4

Step-by-step explanation:

subtract 2 from both sides. then -4x is equal to -16. divide by -4 which gives you 4. Hope this helped!

3 0
3 years ago
Read 2 more answers
Help with 21 would be much appreciated.
umka2103 [35]

Answer:

\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD=14-8=6\\CD=y\\DB=8

Substitute:

\dfrac{6}{y}=\dfrac{y}{8}         <em>cross multiply</em>

y^2=(6)(8)

y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}

For x use the Pythagorean theorem:

x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}

3 0
3 years ago
What is a good estimate for this angle measurement?
ycow [4]
C. 75 degreesssssss:)
7 0
2 years ago
Read 2 more answers
Can someone help me find y PLEASE
Maurinko [17]
pretty sure it’s 42
4 0
3 years ago
Read 2 more answers
Other questions:
  • The mass of 3 washers, when converted to kg is
    5·2 answers
  • Four employees of papa Tony's Pizza are cleaning up at the end of a busy night. There is a list of 43 clean up tasks that need t
    10·2 answers
  • Solve for x x-23=17 NEED TO KNOW FAST PLEASE!!!!
    15·2 answers
  • Anyone in their feelings I am
    8·2 answers
  • Given the quadrilateral ABCD, what is the length of diagonal AC?
    6·1 answer
  • What is a unit rate?​
    14·1 answer
  • Given the right triangle below, what is the length of the hypotenuse
    9·1 answer
  • a number is 3 1/3 greater than another. If the sum of the numbers is doubled, the result is 19 1/2. What is the smaller number
    13·1 answer
  • 1) In the figure below, m_2 = 60°. Find the measure of each angle. Write which postulate(s) or
    9·1 answer
  • In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!