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3 years ago

How simplify -8/3 devided by -2/6

Mathematics

2 answers:

Alenkasestr [34]3 years ago

8 0

Answer:

the answer is 8

Step-by-step explanation:

Alinara [238K]3 years ago

8 0

Answer:

The answer is 8

Step-by-step explanation:

-8/3 divided by -1x2 / 3x2

-8/3 divded by -1/3

-8/3 x 3 / 3 x -1 = -8/-1 = 8 x -1 + 0 / -1

= 8

So your answer is 8

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Suppose the radius of a circle is 2, units. What is its circumference?

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Step-by-step explanation:

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4 years ago

Can anyone please help me to do this with steps

lutik1710 [3]

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Answer:

x = 45°

Step-by-step explanation:

We presume you want the measure of angle x.

Long arc BAD is intercepted by inscribed angle BCD and by inscribed angle BDE. Hence angle BDE has the same measure as angle BCD.

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3 years ago

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

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