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2 years ago

Ally took 2 2/5 hrs to paint 1/6 of her room.how many hours will it take to paint the whole room?

1 answer:

7 0

The time taken to paint the whole room would be six times the time taken to paint 1/6 of her room: $2.4\times6=14.4$
The answer is: 14.4 hours.

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What is 6/7 +8/36+9/45 equal?

valkas [14]

Answer: 1.27936507937

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2 years ago

What is 7=b/11 what is b

alina1380 [7]

7 = b/11

11 × 7 = 77

Answer:

b = 7

7 0

2 years ago

Read 2 more answers

What is 3a minus 5 equals -14

sasho [114]

Minus 5 from both sides so we have 3a=-19 now divide both sides by 3 so we have a=-6 1/3

5 0

2 years ago

Solve. (Enter your answer using interval notation.)<br> |3x + 15| > 21

Katarina [22]

Answer:

(-∞, -12), (2, ∞)

(-∞, -12) U (2, ∞)

Step-by-step explanation:

|3x + 15| > 21, |3x + 15| < -21

3x + 15 > 21, 3x + 15 < - 21

-15 -15 -15 -15

------------------ -------------------

3x > 6 3x < - 36

÷3 ÷3 ÷3 ÷3

------------ ------------------

x > 2 x < -12

(-∞, -12), (2, ∞)

(-∞, -12) U (2, ∞)

I hope this helps!

4 0

8 months 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