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
Allisa [31]
3 years ago
9

Work out the perimeter of this quarter circle. Take Pi to be 3.142 and write down all the digits given by your calculator.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Answer:

Perimeter of the quarter circle will be 24.997 cm.

Step-by-step explanation:

Picture shown is a sector of a circle having an angle inscribed = 90° at the center

Formula to get the circumference of the sector is,

Circumference of the sector = \frac{\theta^\circ}{360}(2\pi r)

C = \frac{90^\circ}{360^\circ}(2\pi)(7)

C = \frac{7\pi }{2}

C = 10.997 cm

Now perimeter of the figure = Sum of lengths of all sides

P = 2r + C

P = 7 + 7 + 10.997

  = 24.997 cm

Therefore, Perimeter of the quarter circle will be 24.997 cm.

You might be interested in
A ball is thrown at an initial height of 7 feet with an initial upward velocity at 27 ft/s. The balls height h (in feet) after t
lianna [129]

Answer:

The height of ball is 17 ft at t=0.55 and t=1.14.

Step-by-step explanation:

The general projectile motion is defined as

y=-16t^2+vt+y_0

Where, v is initial velocity and y₀ is initial height.

It is given that the initial height is 7 and the initial upward velocity is 27.

Substitute v=27 and y₀=7 in the above equation to find the model for height of the ball.

h(t)=-16t^2+27t+7

The height of ball is 17 ft. Put h(t)=17.

17=-16t^2+27t+7

0=-16t^2+27t-10

On solving this equation using graphing calculator we get

t=0.549,1.139

t\approx 0.55,1.14

Therefore the height of ball is 17 ft at t=0.55 and t=1.14.

3 0
3 years ago
Help i guess? Ik its easy i just got lazy
mrs_skeptik [129]
I hope this helps have a good day

4 0
3 years ago
Read 2 more answers
Answer the question please and thank you! :D
Law Incorporation [45]

Answer:

45,45,90

Step-by-step explanation:

3x + 3x + 6x= 180

12x=180

x= 180/12= 15

3x=3×15=45

3x=3×15=45

6x=6×15=90

6 0
3 years ago
Read 2 more answers
Please help my homework is due tommorow use the screenshot
lapo4ka [179]
Answer:

Have a nice day and remember to drink water

8 0
3 years ago
Compute the matrix of partial derivatives of the following functions.
s344n2d4d5 [400]

For a vector-valued function

\mathbf f(\mathbf x)=\mathbf f(x_1,x_2,\ldots,x_n)=(f_1(x_1,x_2,\ldots,x_n),\ldots,f_m(x_1,x_2,\ldots,x_n))

the matrix of partial derivatives (a.k.a. the Jacobian) is the m\times n matrix in which the (i,j)-th entry is the derivative of f_i with respect to x_j:

D\mathbf f(\mathbf x)=\begin{bmatrix}\dfrac{\partial f_1}{\partial x_1}&\dfrac{\partial f_1}{\partial x_2}&\cdots&\dfrac{\partial f_1}{\partial x_n}\\\dfrac{\partial f_2}{\partial x_1}&\dfrac{\partial f_2}{\partial x_2}&\cdots&\dfrac{\partial f_2}{\partial x_n}\\\vdots&\vdots&\ddots&\vdots\\\dfrac{\partial f_m}{\partial x_1}&\dfrac{\partial f_m}{\partial x_2}&\cdots&\dfrac{\partial f_n}{\partial x_n}\end{bmatrix}

So we have

(a)

D f(x,y)=\begin{bmatrix}\dfrac{\partial(e^x)}{\partial x}&\dfrac{\partial(e^x)}{\partial y}\\\dfrac{\partial(\sin(xy))}{\partial x}&\dfrac{\partial(\sin(xy))}{\partial y}\end{bmatrix}=\begin{bmatrix}e^x&0\\y\cos(xy)&x\cos(xy)\end{bmatrix}

(b)

D f(x,y,z)=\begin{bmatrix}\dfrac{\partial(x-y)}{\partial x}&\dfrac{\partial(x-y)}{\partial y}&\dfrac{\partial(x-y)}{\partial z}\\\dfrac{\partial(y+z)}{\partial x}&\dfrac{\partial(y+z)}{\partial y}&\dfrac{\partial(y+z)}{\partial z}\end{bmatrix}=\begin{bmatrix}1&-1&0\\0&1&1\end{bmatrix}

(c)

Df(x,y)=\begin{bmatrix}y&x\\1&-1\\y&x\end{bmatrix}

(d)

Df(x,y,z)=\begin{bmatrix}1&0&1\\0&1&0\\1&-1&0\end{bmatrix}

5 0
3 years ago
Other questions:
  • The length of a quarter is 0.955 inch. Round the length of a quarter to the nearest tenth of an inch./8925047/32fb89d7?utm_sourc
    9·1 answer
  • The charge for a rental car is $20 plus $0.05 per mile.
    15·1 answer
  • Why is it ironic that the mother asks her child to go to church?
    13·1 answer
  • How can you find the measurement of an missing
    10·1 answer
  • OK NOW I NEED HELP ASAP
    14·2 answers
  • I REALLY NEED HELP!!! THIS IS DUE AT 12!!!
    12·1 answer
  • Please help me with this question! :
    13·2 answers
  • Pls help me im so not smart lol
    11·2 answers
  • Help meeeeeeeeeeeeeee fast
    5·1 answer
  • When is the best time to round a number in a multi-step problem?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!