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2 years ago

What is the length of a box that is 5 inches wide, 10 inches tall,a d has a volume of 150 cubic inches

Mathematics

1 answer:

Citrus2011 [14]2 years ago

7 0

Answer:

4 x 6 x 4 = 96 sq in

Step-by-step explanation:

You can not place a 1 inch cube in a .5 area, so. You new measurements will be 4 in x 6 in x 4 in.

4 x 6 x 4 = 96 sq in

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givi [52]

Answer:

128 inches

Step-by-step explanation:

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2 years ago

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babunello [35]

A+b = 5
b+c= 3 1/2
2 times 2 + 3 = 7
a times d =8
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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

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

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

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

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2 years ago

Helpp me please

FrozenT [24]

Answer:

18) b, 19) c, 20) c

Step-by-step explanation:

Conditional statement p → q, and its inverse is not p → not q.

Applied to the given statement we see the correct one is b.

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<u>As per question we have:</u>

2(250) + 3f < 700
500 + 3f < 700
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f < 200/3 ≈ 67

The maximum cost is 66 pesos.

Correct choice is c.

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y = √3 - s

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Correct choice is c.

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2 years ago

How many grams are in 3 pounds

AnnZ [28]

The answer is 1360.777 grams

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2 years ago