What is the formula to find the area of a rectangle?

Mathematics

2 answers:

stellarik [79]3 years ago

8 0

To find the area of a rectangle, you just need to multiply the length by the width.

Formula = A= W x L.

(Mark this as the brainliest if this helps!)

kotykmax [81]3 years ago

3 0

Length times Width = Area.

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1/4 + 1/2 + x = - 3/4 what is x equal to

ludmilkaskok [199]

Answer:

-6/4 or -1 1/2

8 0

2 years ago

An acorn is falling from 13 feet in the air. If it descends 4.8 feet every second, write and solve an equation to determine how

podryga [215]

Answer:

2.5

Step-by-step explanation:

12/4.8

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3 years ago

Write -3+4i in the form r(cosx+isinx)

Zanzabum

$-3+4i$ is a complex number that satisfies

$\begin{cases}r\cos x=-3\\[1ex]r\sin x=4\\[1ex]r=\sqrt{(-3)^2+4^2}\end{cases}$

The last equation immediately tells you that $r=5$ .

So you have

$\begin{cases}\cos x=-\dfrac35\\[1ex]\sin x=\dfrac45\end{cases}$

Dividing the second equation by the first, you end up with

$\dfrac{\sin x}{\cos x}=\tan x=\dfrac{\dfrac45}{-\dfrac35}=-\dfrac43$

Because the argument's cosine is negative and its sine is positive, you know that $\dfrac\pi2$ . This is important to know because it's only the case that $y=\tan x\implies \arctan y=x$ whenever $-\dfrac\pi2$ . The inverse doesn't exist otherwise.

However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by $\pi$ , we have

$\tan(x-\pi)=y\implies x=\pi+\arctan y$

All this to say

$\tan x=-\dfrac43\implies x=\pi+\arctan\left(-\dfrac43\right)\approx2.2143\text{ rad}\approx126.9^\circ$

So, $-3+4i=5(\cos126.9^\circ+i\sin126.9^\circ)$ .