Please help!!!

Mathematics

1 answer:

STALIN [3.7K]2 years ago

7 0

Answer:

B BC=EF

Step-by-step explanation:

You know that angle B=angle E and that angle C=angle F

You need to knows that segment BC=segment EF because they are between the known angles (ASA, Angle Side Angle).

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Which of the following terms is mismatched with its example?

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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
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}}
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2/3 is the slope

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(c)

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

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W-26=7, Solve this please? Thanks-

e-lub [12.9K]

Answer:

add 26 to 7 and there is your anwser

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Read 2 more answers

What fractions are equal to 4/5

Tresset [83]

There are as many fractions equal to 4/5 as there are numbers, but here are a couple that fit:
20/25
8/10
12/15
100/125
...etc. Hope that answered your question :)

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2 years ago

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