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
DochEvi [55]
3 years ago
6

Given a circle with radius of 6 which is the length of an arc measuring 30

Mathematics
1 answer:
seropon [69]3 years ago
7 0

Answer:

Length of arc is π=3.14 units.

Step-by-step explanation:

Given a circle with radius of 6 units and the length of an arc measuring an angle 30°. We have to find the length of arc.

As, the formula to find the length of arc is

\frac{\theta}{360}\times{2\pi r}

⇒ \frac{30^{\circ}}{360^{\circ}}\times 2\pi r

⇒ \frac{30^{\circ}}{360^{\circ}}\times 2\pi\times 6

⇒ \pi=3.14 units

∴ Length of arc is π=3.14 units

You might be interested in
What is the radius of a circle whose equation is X^2 plus Y^2 -10X +6 X +18=0?
frosja888 [35]

ANSWER

The radius is 4

EXPLANATION

The given equation is:

{x}^{2}  +  {y}^{2}  - 10y + 6x + 18 = 0

We complete the square to get the expression in standard form:

{x}^{2}  + 6x +  {y}^{2}  - 10y  + 18 = 0

{x}^{2}  + 6x +  9 + {y}^{2}  - 10y  + 25  =  - 18 + 9 + 25

We factor using perfect squares to get:

{(x + 3)}^{2}  +  {(y - 5)}^{2} =  16

This implies that,

{(x + 3)}^{2}  +  {(y - 5)}^{2} =   {4}^{2}

Comparing to

{(x  - h)}^{2}  +  {(y - k)}^{2} =   {r}^{2}

The radius is r=4

3 0
3 years ago
Please help me with this question thanksss
igomit [66]
To find the length I know you have to do 164 divided by 6
6 0
3 years ago
Radical expression of 7 x 2 / 3
TiliK225 [7]
I think it going to be 21/2 or 10 1/2
5 0
3 years ago
y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence
sukhopar [10]

Let

\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots

Differentiating twice gives

\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots

\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n

When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.

Substitute these into the given differential equation:

\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0

\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0

Then the coefficients in the power series solution are governed by the recurrence relation,

\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}

Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.

• If n is even, then n = 2k for some integer k ≥ 0. Then

k=0 \implies n=0 \implies a_0 = a_0

k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}

k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}

k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}

It should be easy enough to see that

a_{n=2k} = \dfrac{a_0}{(2k)!}

• If n is odd, then n = 2k + 1 for some k ≥ 0. Then

k = 0 \implies n=1 \implies a_1 = a_1

k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}

k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}

k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}

so that

a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}

So, the overall series solution is

\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)

\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}

4 0
3 years ago
a landscaper is designing a park in the shape of a kite with a fountain in the center, F. AK = 28 ft, PF=48 ft and F=32 ft. He w
Keith_Richards [23]

Answer:

169.9

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Shania has $45in her wallet. She spends $4 on snacks $8 on a movie ticket.What integer represents the change in amount of money
    11·1 answer
  • Factor completely, then place the answer in the proper location on the grid.<br><br> 9x 4 -225y 8
    14·1 answer
  • Mr. Jameson is walking toward his nine-story hotel and stops to look up to the top of the building. The angle of elevation to th
    8·1 answer
  • What is the slope of the line shown below?
    5·1 answer
  • What is a scatter plot?<br> I somewhat know the answer, but I just need to know everything about it
    5·1 answer
  • We have two fractions, \dfrac{1}{6} 6 1 ​ start fraction, 1, divided by, 6, end fraction and \dfrac{3}{8} 8 3 ​ start fraction,
    5·1 answer
  • How are the graphs of the functions f(x) = . 16and g(x) = 3/64 related?
    7·1 answer
  • Steven and Julio each have 13 marbles. Megan has twice the number of marbles as Steven and Julio combined. Steven thinks that me
    14·1 answer
  • The two triangles are similar. Find the unknown variables.
    5·1 answer
  • If the supplies on shelf A are normally $7 each and the supplies on shelf B are normally $6 each, how much will you save on each
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!