2 years ago

A central angle of a circle measures π/3 radians intercepts an arc that is 12πcm. What is the radius of the circle?

Mathematics

1 answer:

nydimaria [60]2 years ago

8 0

Wouldnt it be 4 im pretty sure i did the math right i hope this works can you answer mine?

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To find the extreme values of a function f(x,y) on a curve xequalsx(t), yequalsy(t), treat f as a function of the single vari

pychu [463]

Answer:

Absolute maximum is 2

Absolute minimum at -2

Step-by-step explanation:

The given parametric functions are:

$x=2\cos t,y=2\sin t$

By the chain rule:

$f'(t)=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$\frac{df}{dt} =\frac{2 \cos t}{-2\sin t} =-\cot(t)$

At fixed points, $f'(t)=0$

$\implies -\cot (t)=0$

This gives $t=\frac{\pi}{2} ,\frac{3\pi}{2}$ on $0\le t\le 2\pi$

This implies that the extreme points are $(2\cos \frac{\pi}{2}, 2\sin \frac{\pi}{2})=(0,2)$ and $(2\cos \frac{3\pi}{2}, 2\sin \frac{3\pi}{2})=(0,-2)$

By eliminating the parameter, we have $x^2+y^2=4$

This is a circle with radius 2, centered at the origin.

Hence (0,2) is an absolute maximum ,at $t=\frac{\pi}{2}$ and (0,-2) is an absolute minimum at $t=\frac{3\pi}{2}$

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2 years ago

How do you do advanced order of operations? Need help on my homework!

Licemer1 [7]

Order of Operations = PEMDAS

Parentheses
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2 years ago

N+7/d+7=3/4 solved for d.

spin [16.1K]

D = -28 / 4N+25
Hope this helps.

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In ΔKLM, m = 5.9 cm, k = 7.1 cm and ∠L=72°. Find the length of l, to the nearest 10th of a centimeter.

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Answer:

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Step-by-step explanation:

a ^2+b^2=c^2−2bccosA

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Craig likes to collect records last year he had Tim records and his collection now he has 15 records what is the percent increas

Softa [21]

Answer:

50% I believe?

Step-by-step explanation:

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