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uranmaximum [27]

3 years ago

9

It costs $12 to attend a golf clinic with a local pro. Buckets of balls for practice during the clinic cost $3 each. How many bu

ckets can you buy at the clinic if you have $30 to spend?
plz i beg

2 answers:

iVinArrow [24]3 years ago

5 0

You can buy 6 buckets

Free_Kalibri [48]3 years ago

4 0

6 buckets ....................

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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

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

____________

(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
<span>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

$\begin{aligned}
\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\
&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\
\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}
&= 2/3
\end{aligned}$

2/3 is the slope

____________

(c)

"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3

A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time

</span><span /> $\displaystyle\frac{dr}{dt} = -2\sin\theta \frac{d\theta}{dt} \quad \stackrel{\theta = \pi/3}{\implies} \quad 3 = -2\left( \frac{\sqrt{3}}{2}}\right) \frac{d\theta}{dt} \implies \\ \\ \frac{d\theta}{dt} = -\sqrt{3} \text{ radians per second}$

5 0

3 years ago

if Roman Reigns was born 759 days after Jey Uso, with no leap year between the two birthdays. If Jey Uso was born on a Wednesday

sweet-ann [11.9K]

If Jey Uso was born on a Wednesday, the day of the week that Roman Reigns was born is Thursday.

<h3>What day of the week was Roman Reigns born?</h3>

There are 365 days in a year when there is no leap year.

Now determine the number of years that make up 759 days: 759 / 365 = 2 years + 29 days

Now determine how many weeks are in 29 days : 29 / 7 = 4 weeks and 1 day

Thus, Roman Reigns was born on Thursday.

To learn more about division, please check: brainly.com/question/194007

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2 years ago

four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x.

Orlov [11]

The solution to the problem about the possible values of x in the inequality is as follows:

4(x+15) >= 120
x+15 >= 30
<span>x >= 15

Therefore, there are </span><span>x >= 15 possibilities in the inequality.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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3 years ago

Eighty decreased by six times eight

Stells [14]

80-6×8= answer decrease is reduced..... does this help

8 0

3 years ago

Read 2 more answers

Help please sorry I'm slow on answer questions like this I suck at math :/

Gala2k [10]

The answer is C (working shown)

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3 years ago