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3 years ago

What is 309,099,990 in standard form

Mathematics

1 answer:

Bess [88]3 years ago

3 0

Answer:

300,000,000 + 9,000,000 + 90,000 + 9,000 + 900 + 90.

Step-by-step explanation:

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An equivalent equation has been written by multiplying the second equation by 2.

AVprozaik [17]

its -5 so it is A,( -19/2, -5)

7 0

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

5 0

3 years ago

If angle 2 measures 155 degrees in the image below and what is the measurement of angle 1

Degger [83]

<h2>Answer:</h2>

<em>Angle 1 measures 25 degrees</em>

<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the diagram shown below. In that figure, we know that:

$\angle 1=? \\ \\ \angle 2=155^{\circ}$

The figure shows that these two angles are supplementary, so they add up to 180 degrees. Therefore:

$\angle 1+\angle 2=180^{\circ} \\ \\ Substituting \ \angle 2=155^{\circ}: \\ \\ \angle 1+155^{\circ}=180^{\circ} \\ \\ \\ Isolating \ \angle 1: \\ \\ \angle 1=180^{\circ}-155^{\circ} \\ \\ \boxed{\angle 1=25^{\circ}}$

4 0

3 years ago

Please solve with explanation

Vladimir79 [104]

Answer: D

Step-by-step explanation: go over 5 . Down 1 .

6 0

2 years ago

Find the missing value

sleet_krkn [62]

Answer:

Angle E is 59

Angle U is 89

Step-by-step explanation:

Angle E: 35 + 86 = 121

180 - 121 = 59

Angle U: 29 + 62 = 91

180 - 91 = 89

3 0

3 years ago