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3 years ago

5

For any positive integer X, let the symbol X, refer to lcm[12,X]. What is the largest value among the numbers 2,4,6,8,10,

and 12*?

1 answer:

babunello [35]3 years ago

6 0

12 since it is greater than the rest of the numbers

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Cerrena [4.2K]

Having a quick, lively tempo. Typically considered to be faster than allegretto, but slower than presto.

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A tunnel is 300 feet deep and makes an angle of 30 with the ground .

Goshia [24]

Answer:

$\boxed{C.\:\: 600\:feet}$

Step-by-step explanation:

The tunnel, the ground and the depth of the tunnel form a right angle triangle.

The length of the tunnel is the hypotenuse of the right triangle that has been formed.

Let the length of the tunnel be $m\: feet$ .

Using the sine ratio, we obtain;

$\sin(30\degree)=\frac{Opposite}{Hypotenuse}$

The length of the opposite side is $300\:feet$

We substitute the given values to obtain;

$\sin(30\degree)=\frac{300}{m}$

$\Rightarrow \frac{1}{2}=\frac{300}{m}$

We cross multiply to obtain;

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3 years ago

Cory found a job listed in a classified that pays a yearly salary of $54,013. What is the biweekly

Anon25 [30]

Answer:

2077.42

Step-by-step explanation:

There are 52 weeks in a year, so there are 26 "biweekly" weeks in a year.

Cory receieves $54013 per year, so he gets 54013 / 26 dollars biweekly.

We can compute that number, getting 2077.42 dollars.

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3 years ago

To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?

ollegr [7]

Answer:

D. 5/3

Step-by-step explanation:

$\frac{1/6+1/2+1/3+x}{4} =2/3$

$1/6+1/2+1/3+x=8/3$

$x=8/3-1/6-1/2-1/3$

$x=8/3-1/6-3/6-2/6$

$x=8/3-6/6$

$x=16/6-6/6=10/6$

simplified

$x=5/3$

Hope this helps

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1 year ago