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3 years ago

Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)

1 answer:

8 0

<span>For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) /16.</span>

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Dmitrij [34]

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3 years ago

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Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of roots.

Simora [160]

E=mc^2 is one of the most recognizable equations in the world. In this task, you’ll attempt to understand it better. Let’s start with what the letters mean. The letter E stands for energy, the letter m stands for mass, and the letter c stands for the speed of light. The meaning of this equation is that you can completely convert mass into energy.

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3 years ago

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Kamila [148]

Answer:

AC, AB, BC

Step-by-step explanation:

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3 years ago

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Twelve is greater than or equal to a 5 times a number n

kykrilka [37]

Answer:

n <= 12/5

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3 years ago

Find an equation of variation for the given situation: y varies jointly as x and the square of z and inversely as w, and y= 27/

Elodia [21]

9514 1404 393

Answer:

$y=\dfrac{6xz^2}{w}$

Step-by-step explanation:

When y varies jointly as x and z, the equation is written ...

y = k·x·z

Here, the joint variation is not with z, but with z². There is also an inverse variation with w, so the entire relation is ...

y = k·x·z²/w

We want to find the value of k for the given values of the variables. So, we can solve for k to get ...

$k=\dfrac{wy}{xz^2}=\dfrac{8\cdot\dfrac{27}{2}}{2\cdot3^2}=\dfrac{4\cdot27}{2\cdot9}=2\cdot3=6$

Then the equation of variation is ...

$\boxed{y=\dfrac{6xz^2}{w}}\qquad\textbf{matches B}$

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3 years ago

Of all rectangles with a fixed perimeter of​ p, which one has the maximum​ area? (give the dimensions in terms of​ p.)

Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)