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2 years ago

Find the length of an arc of 40 degrees in a circle with an 8 inch radius.

Mathematics

1 answer:

gregori [183]2 years ago

7 0

Answer:

16π/9

Step-by-step explanation:

40°/360° = 1/9

40° is 1/9 of a circle

Arc length = 1/9 of circumference = (1/9)2πr = 16π/9

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In how many ways can a committee of 8 sit in a row if the chairman occupies the middle seat??

Rainbow [258]

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2 years ago

Calculus 3 chapter 16

o-na [289]

Evaluate $\vec F$ at $\vec r$ :

$\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k$

Compute the line element $d\vec r$ :

$d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt$

Simplifying the integrand, we have

$\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt$

Then the line integral evaluates to

$\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}$

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1 year ago

The equation of a line is y = 17x -6

julia-pushkina [17]

Answer:

(0, -6)

Step-by-step explanation:

the point where the line crosses the y-axis has its x value = 0.

hence y = 17 * 0 -6 = -6

so (0, -6)

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2 years ago

Read 2 more answers

Read the analogy below. simile : figurative language :: isosceles : triangle what type of analogy is this?

Lena [83]

1) The set of words represented in the first task is definitely ''member and class '' type of analogy. That's pretty easy, it reminds of definitions : simile is one of type of the figurative language and isosceles is one of the types of triangles.

2) What about the next set, I am pretty sure that the gap should be filled with jaywalking : offense :: bottle : container. I think that these words represent consequences, so jaywalking soneer or later will be spotted and it would have become an offence, and bottle will spent the rest of its life in the container.

Hope that helps!

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3 years ago

Am i right? i just want to make sure

marysya [2.9K]

Answer:

yes

Step-by-step explanation:

can i have brainliest

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3 years ago

Find the length of an arc of 40 degrees in a circle with an 8 inch radius.​

Find the length of an arc of 40 degrees in a circle with an 8 inch radius.