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2 years ago

Que números inteiros módulo igual a 45?

Mathematics

1 answer:

GenaCL600 [577]2 years ago

8 0

-45 and +45 since modules are the same thing as absolute value. (I translated the question)

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

5 0

2 years ago

At cheng's bike rental, it cost $12 to rent a bike for 3 hours. how many hours of bike use does a Customer get per dollar?

mario62 [17]

Answer:4hrs per dollar

Step-by-step explanation:

$12=3hrs

? =1hr

12*1/3

HOPE IT HELPS PLS MARK AS BRAINLIEST

8 0

3 years ago

PLEASE HELP ME!!!! Please show work!!! ASAP!!

Ber [7]

The answer would be C. because you have to multiply all of the numbers and then divide by the 90 degree angle.

5 0

3 years ago

Click on pic to get the actual question please

schepotkina [342]

Answer: The products are 3 and 6

Step-by-step explanation:

The product of the factor is either 1/2 or 18, depends whether it wants a fraction or an answer to a multiplication problem.

Hope this helps!

4 0

3 years ago

Which angles are alternate interior angles?

Sergio [31]

Angles JKH and IHK are alternate interior angles

8 0

2 years ago