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
san4es73 [151]
2 years ago
8

Sabrina rode on a ferris wheel at the state fair. in one rotation she traveled 778.72 ft. What is the appointment radius of the

Ferris wheel? use 3.14 for n
Mathematics
1 answer:
adelina 88 [10]2 years ago
4 0

The radius of ferris wheel is 124 feet

<em><u>Solution:</u></em>

Given that, Sabrina rode on a ferris wheel at the state fair

In one rotation she traveled 778.72 ft

To find: Radius of ferris wheel

The distance traveled in one rotation is equal to circumference of circle

Thus circumference of circle is equal to 778.72 feet

<em><u>The circumference of circle is given as:</u></em>

C = 2 \pi r

Where, "r" is the radius and \pi is a constant equal to 3.14

Substituting, C = 778.72

778.72 = 2 \times 3.14 \times r\\\\778.72 = 6.28r\\\\r = \frac{778.72}{6.28}\\\\r = 124

Thus radius of ferris wheel is 124 feet

You might be interested in
PLEEEEASE HELP!!!! QUICK
lana [24]

Answer:

By 25% :)

Step-by-step explanation:

5 0
3 years ago
Which is mood supported by the passage ?
zepelin [54]

The correct answer is A. Longing I know because I just finished the quiz.


3 0
3 years ago
Joanne is making 48 cupcakes for a bake sale.
Nookie1986 [14]
Answer attached below. Hope it helps

7 0
2 years ago
Jamiah bought two 125 ounce bags of flour for baking. He used up 32 ounces of flour to bake a batch of brownies. How much flour
V125BC [204]

Answer: its 218

Step-by-step explanation: you just have to subtract 250 minus 32

7 0
1 year ago
Suppose that \nabla f(x,y,z) = 2xyze^{x^2}\mathbf{i} + ze^{x^2}\mathbf{j} + ye^{x^2}\mathbf{k}. if f(0,0,0) = 2, find f(1,1,1).
lesya [120]

The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted C, which we can parameterize by the vector-valued function,

\mathbf r(t)=(1-t)(\mathbf i+\mathbf j+\mathbf k)

for 0\le t\le1, which has differential

\mathrm d\mathbf r=-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt

Then with x(t)=y(t)=z(t)=1-t, we have

\displaystyle\int_{\mathcal C}\nabla f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\nabla f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r

=\displaystyle\int_{t=0}^{t=1}\left(2(1-t)^3e^{(1-t)^2}\,\mathbf i+(1-t)e^{(1-t)^2}\,\mathbf j+(1-t)e^{(1-t)^2}\,\mathbf k\right)\cdot-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt

\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)(t^2-2t+2)\,\mathrm dt

Complete the square in the quadratic term of the integrand: t^2-2t+2=(t-1)^2+1=(1-t)^2+1, then in the integral we substitute u=1-t:

\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)((1-t)^2+1)\,\mathrm dt

\displaystyle=-2\int_{u=0}^{u=1}e^{u^2}u(u^2+1)\,\mathrm du

Make another substitution of v=u^2:

\displaystyle=-\int_{v=0}^{v=1}e^v(v+1)\,\mathrm dv

Integrate by parts, taking

r=v+1\implies\mathrm dr=\mathrm dv

\mathrm ds=e^v\,\mathrm dv\implies s=e^v

\displaystyle=-e^v(v+1)\bigg|_{v=0}^{v=1}+\int_{v=0}^{v=1}e^v\,\mathrm dv

\displaystyle=-(2e-1)+(e-1)=-e

So, we have by the fundamental theorem of calculus that

\displaystyle\int_C\nabla f(x,y,z)\cdot\mathrm d\mathbf r=f(1,1,1)-f(0,0,0)

\implies-e=f(1,1,1)-2

\implies f(1,1,1)=2-e

3 0
3 years ago
Other questions:
  • Mark bought 4 pounds of apples for $7.56 what was the cost per pound?
    7·2 answers
  • I need help with this question plz
    14·1 answer
  • Please help. question in the photo!
    6·1 answer
  • A number f multiplied -12.3 is --73.8
    14·1 answer
  • Will mark BRAINLIEST!!!
    11·2 answers
  • If np &gt;5 and nq&gt;5 estimate P (fewer than 4) with n=13 p=0.4 by using normal distribution as an approximate to the binomial
    13·1 answer
  • The measures of the angles of the triangle solve for x
    7·2 answers
  • What is 5/16 x -2 x -4 x -4/5
    5·2 answers
  • Would side lengths of 3 in, 4 in, and 6 in create a unique triangle? Why or why not?
    8·1 answer
  • Determine the missing card value that will result in a product of -324<br> -6 3 -9
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!