How do I round 3.8129 to 3 decimal places?Please help!!!

2 answers:

6 0

$3.8129\\\\Since\ the\ fourth\ place\ is\ 5\ or\ more\ (here\ it's\ 9),\\the\ third\ place\ is\ increased\ by\ 1.\\\\Answer:3.8129\approx3.813$

Marianna [84]3 years ago

5 0

3.8129
rounded to 3 decimal places =3.813

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The graphs of the polar curves r = 4 and r = 3 + 2cosθ are shown in the figure above. The curves intersect at θ = π/3 and θ = 5π

Gennadij [26K]

(a)

$\displaystyle \frac{1}{2} \cdot \int_{\frac{\pi}{3}}^{\frac{5\pi}{3}} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

or, via symmetry

$\displaystyle\frac{1}{2} \cdot 2 \int_{\frac{\pi}{3}}^{\pi} \left(4^2 - (3 + 2\cos\theta)^2 \right) \, d\theta$

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(b)

By the chain rule:

$\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}$

For polar coordinates, x = rcosθ and y = rsinθ. Since
r = 3 + 2cosθ, it follows that

$x = (3 + 2\cos\theta) \cos \theta \\ 
y = (3 + 2\cos\theta) \sin \theta$

Differentiating with respect to theta

$\begin{aligned}
\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\
&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\
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2/3 is the slope

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(c)

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3 years ago

1. Multiply 3/10 x 5/6

elena-14-01-66 [18.8K]

15/60 is the Awnser. Cuz 3•5 is 15 and 10•6 is 60

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2 years ago

Find 118% of 19 could really use some help late bloomer

Zanzabum

Hello,

to find the percent of a number what we have to do is to multiply the number by de percent that we want to know and divide by 100, so:

$19* \frac{118}{100} =22.42$

Answer: 118% of 19 is 22.42

7 0

3 years ago

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