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baherus [9]
3 years ago
5

Find the radius of each circle. use 3.14for the value of Pie. round your answer to

Mathematics
1 answer:
muminat3 years ago
7 0

9514 1404 393

Answer:

  8.6 km

Step-by-step explanation:

The circumference of a circle is given in terms of its radius as ...

  C = 2πr

Then the radius can be found from the circumference using ...

  r = C/(2π)

Filling in the given values, we find the radius to be ...

  r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km

The radius is about 8.6 km.

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At an annual salary of $55,000 per year, what is the amount of semimonthly paychecks?
Amiraneli [1.4K]
Semi monthly means 2 times per month
assume that pay is at beginning and middle of month (doesn't matter, but  makes it easier for me)

so 12 months
2 times per month
12 times 2=24
divide 55000 by number of months
55,000/24=2291.67

so the amount per paycheck, assuming equally distributed amounts throughout the paychecks, is $2291.67
4 0
4 years ago
....................................
Serjik [45]

Answer:

i think the anwser is the third one c

7 0
3 years ago
Read 2 more answers
If x-y=4 and 2x+3y=10 what is the value of 3x+2y
g100num [7]

x-y=4       2x+3y=10     find: 3x+2y

FIrst you need to figure out what either x or y equals with one of the equations. It doesn't matter which, because they are dependent on eachother and will both give the same number at the end.

I chose to go with the first equation, because it was simplier, which makes it easier to find the first variable. Again you can solve for either x or y first, I chose x

x-y=4

becomes

x=4+y

now we can plug this x value into the second equation of 2x+3y=10 to find

2(4+y)+3y=10

8+2y+3y=10

8+5y=10

solving for y

5y=2

y=2/5

Now we can plug this y value into the first equation to get an actual value of x

x-(2/5)=4

x=4+2/5

x=22/5

since we now have both x and y values, x=22/5 y=2/5, we can plug them into the 3rd equation to find what it equals

3(x)+2(y)=??

3(22/5)+2(2/5)=??

66/5+4/5=??

70/5=14

4 0
3 years ago
Read 2 more answers
Use Stokes' Theorem to evaluate |c F * dr where C is oriented counterclockwise as viewed from above.F(x, y, z) = xyi + 5zj + 7yk
Hunter-Best [27]

Compute the curl of \vec F:

\vec F(x,y,z)=xy\,\vec\imath+5z\,\vec\jmath+7y\,\vec k\implies\nabla\times\vec F(x,y,z)=2\,\vec\imath-x\,\vec k

By Stoke's theorem, the (line) integral of \vec F along C is equivalent to the (surface) integral (or flux) of \nabla\times\vec F across S, the oriented surface with boundary C.

Take S to be the part of the plane x+z=3 within the cylinder x^2+y^2=144. Parameterize S by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(3-u\cos v)\,\vec k

with 0\le u\le12 and 0\le v\le2\pi. Take the normal vector to S to be

\vec s_u\times\vec s_v=u\,\vec\imath+u\,\vec k

Then the integral is

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot(\vec s_u\times\vec s_v)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^{12}(2\,\vec\imath-u\cos v\,\vec k)\cdot(u\,\vec\imath+u\,\vec k)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^{12}(2u-u^2\cos v)\,\mathrm du\,\mathrm dv=\boxed{288\pi}

8 0
3 years ago
What are four conservative even integers if the first integer is -4.
Westkost [7]
D. -4,-5,-6,-7

and if it was wrong i’m sorry
8 0
2 years ago
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