<h3>
Answers: 48 and 72</h3>
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Explanation:
The number 12 is a multiple of 3 because 3*4 = 12.
So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.
The multiples of 12 are:
- 12, 24, 36, 48, 60, 72, 84, 96, 120, ...
We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.
Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.
844/12 = 70.333 approximately.
This shows that 844 is <u>not</u> a multiple of 12. So we cross 844 from the list.
Only 48 and 72 are multiples of 12 (and also multiples of 3).
the 1st one goes to 2 and the 2nd one goes to 3 the 3rd one goes to 1 the and so on
Imagine this pole of height h sticking out of the ground. A wire of length 15 feet connects the top of the pole to a stake in the ground which is located 5 feet from the base of the pole. This arrangement creates a right triangle with legs h (the height of the pole), 5 ft (distance of bottom of pole from stake) and hypotenuse 15 ft.
We can find the height of the pole (h) using either trig or the Pythagorean Theorem. If we use the P. T., then h^2 + 5^2 = 15^2.
This results in h^2 + 5^2 = 15^2, or h^2 + 25 = 225, and so:
h^2 = 200. Thus, h = +√200 = +10√2.
The height of the pole is 10√2 ft, or approx. 14.14 ft.
The correct answer is y=0.45x
