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balandron [24]
3 years ago
8

How to decompose a parallelogram and rearrange the parts to form a rectangle is.

Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

a parrellelogram is a rectangle T^T

just that they slanted it.

UNSLANT IT.

if that makes sense.

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The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When
atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

A=w\ell

Where <em>w</em> is the width and <em>l</em> is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>

\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]

By the Product Rule:

\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w

Since we know that dl/dt = 6 and that dw/dt = 5:

\displaystyle \frac{dA}{dt}=5\ell + 6w

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

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What is the converse of ​r-&gt;(~q v p)
alexira [117]

Answer:

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Step-by-step explanation:

In general, remember that the converse of    a => b       is     \neg b  =>   \neg a , therefore in this case  a = r   \ \ ,  b = \neg q \ \lor p

so   r =>  (\neg q \ \lor p)  \ \equiv  \  q \ \land \ \neg p => \neg r

   

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