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Mathematics

2 answers:

Sedbober [7]2 years ago

5 0

Answer:

your answer would be $145.60

Step-by-step explanation:

you have to multiply 14.56 by 10

Neporo4naja [7]2 years ago

5 0

Answer:

145.6, the last choice.

Step-by-step explanation:

If its 14.56 per copy and theres 10, you multiply 14.56 with 10 to get 145.6.

Hope this helps.

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S_A_V [24]

Answer:

Answer is the 72.02 cm³ .I hope it's helpful to you.

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3 years ago

(radical) √75 estimated to the nearest hundredth thank u :3

frosja888 [35]

The answer is 2.646 hope it helps

6 0

3 years ago

What is the principal value cost of cos−1 (0.69)

CaHeK987 [17]

We are asked to find the principal value of
cos ⁻¹ (0.69)
which is just the least positive angle
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Other values of
cos ⁻¹ (0.69) is
46.37° - 180° n
where n is a whole number

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3 years ago

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

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

2/3 is the slope

____________

(c)

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

Angle θ and r are related via r = 3 + 2cosθ, so implicitly differentiating with respect to time

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

5 0

3 years ago

Thru (4,0) parallel to y=1/2x+5

Ne4ueva [31]

Paralell has same slope
y=mx+b
m=slope
y=1/2x+b
find b
(x,y)
(4,0)

x=4
y=0
0=1/2(4)+b
0=2+b
minus 2 both sides
-2=b

the equaiton is
y=1/2x-2
or
x-2y=4

7 0

2 years ago