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2 years ago

I need help to find the lcm of 81 and 3

Mathematics

2 answers:

velikii [3]2 years ago

8 0

Answer:

81 is the LCM of 81 and 3

Step-by-step explanation:

81 is the smallest (least) number that both (common) 81 and 3 "go into" (multiple)

81 goes into 81.

3 goes into 81.

81 is the smallest number that they both go into.

Lina20 [59]2 years ago

4 0

Hi there,

please see below for solution steps :

________

$\ast$ Key moment to solving this problem :

the LCM stands for least common multiple

Okay. Now, what is the lcm of 3 and 81?

One way to find the lcm is : list several multiples of each number.

However, it's not a really efficient way, because listing all the multiples of 3 until we get to 81 is time-consuming!

So we can ask ourselves one question : Is 81 divisible by 3?

Sure! with this in mind, let's ask ourselves another question : what is the lcm of 81 and 3?

The answer to that is $\boldsymbol{81}$ .

Hope the answer - and explanation - made sense to you,

happy studying !! $\bold{Frozen \ melody}$

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Answer:

$cos{\frac{2\pi}{3}}=-\frac{1}{2}$ .

Reference angle is $\frac{\pi}{3}$

Step-by-step explanation:

Given the value of x. we have to find the correct value of cosx.

$x=\frac{2\pi}{3}$

Now, we have to find the exact value of $cos{\frac{2\pi}{3}}$

$cos{\frac{2\pi}{3}}=cos(\frac{\pi}{2}+\frac{\pi}{6})$

$=-sin(\frac{\pi}{6})$

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Now, we have to find the reference angle of $x=\frac{2\pi}{3}$ .

Since the angle $x=\frac{2\pi}{3}$ lies in second quadrant, the reference angle formula is

Reference angle= $\pi-given angle$ .

= $\pi-\frac{2\pi}{3}=\frac{\pi}{3}$

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