Which number is equal to 2.98* 10^5

Mathematics

1 answer:

Vinvika [58]2 years ago

6 0

Step-by-step explanation and the Answer:

$10^{5}= 100000$

2.98×100000= 298000

So therefore the answer is 298000.

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triangle QRS is an equilateral triangle if QR is 7 less than twice X RS is 61 less than 5 times x and QS is 11 more than x find

Katarina [22]

Answer:

QR=RS=QS=29

Step-by-step explanation:

Given QRS is an equilateral triangle, thus all the three sides of the given triangle will be equal.

Also, from the given statement, we have

QR=2x-7, RS=5x-61 and QS=11+X

Now, As all the sides of the triangle are equal, therefore

QR=RS=QS

⇒QR=RS

⇒2x-7=5x-61

⇒-7+61=5x-2x

⇒54=3x

⇒x=18

Thus, the measure of QR=2(18)-7=29,RS=5(18)-61=29 and QS=11+18=29.

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3 years ago

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The shaded area of the shape below rounded to the nearest whole number is:<br>8 cm<br>8 cm

maks197457 [2]

Answer:

Step-by-step explanation:

8x8=64

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2 years ago

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