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lapo4ka [179]
2 years ago
5

PLS HLP!!! For two arcs to be congruent, what conditions must be met? Check all that apply A. they must be in the same circle or

congruent circles B. they must have the same central angle measures C. they must overlap D. One must be a major arc and the other a minor arc
Mathematics
1 answer:
irinina [24]2 years ago
7 0

Answer:

B

Step-by-step explanation:

Must be have the same central angle measure

Must be in the same circle or congruent circles

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Answer:

c<=4

Step-by-step explanation:

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2 years ago
The taxi costs $2.25 for the first mile plus 15cents for each additional tenth of a mile. For a 5.2 mile trip, Eric payed $10 an
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2.25 for the first mile. That leaves 4.2 miles.

4 * 0.1 = 0.4

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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
<span>r = 3 + 2cosθ, it follows that

x = (3 + 2\cos\theta) \cos \theta \\ &#10;y = (3 + 2\cos\theta) \sin \theta

Differentiating with respect to theta

\begin{aligned}&#10;\displaystyle \frac{dy}{dx} &= \frac{ dy/ d\theta}{ dx/ d\theta} \\&#10;&= \frac{(3 + 2\cos\theta)(\cos\theta) + (-2\sin\theta)(\sin\theta)}{(3 + 2\cos\theta)(-\sin\theta) + (-2\sin\theta)(\cos\theta)} \\ \\&#10;\left.\frac{dy}{dx}\right_{\theta = \frac{\pi}{2}}&#10;&= 2/3&#10;\end{aligned}

2/3 is the slope

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"</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}
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3 years ago
How to solve mean median and mode
cestrela7 [59]
You can solve the median by putting all the numbers in order. Then cross off one at a time at the start, then cross off the one at the end, then keep going until you get to one.

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I hope this helps :-)
8 0
3 years ago
Select the 2 common denominators for 1/4 and 7/10 .
irina [24]

Answer:

B) 20 and E) 40

Step-by-step explanation:

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10=2*5

Common denominators = 2²*5=4*5=20

20,40

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3 years ago
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