Answer:
To find the greatest common factor of a polynomial, first take all of the coefficients and list out their factors. After doing this, we can identify the greatest number that appears in each of the lists.
From there we will look for the lowest exponent for every variable. We'll use that number in our final answer. Remember, when doing this, that if the variable doesn't appear in a term, then the exponent is assumed to be 0.
We want to find
such that the object needs is in equilibrium:

We're told that
,
, and
. We also know the angle between
and
is 95º, which means

is perpendicular to both
and
, so
.
If we take the dot product of
with the sum of all four vectors, we get




We can do the same thing with
and
:




Finally, if we do this with
, we get





All you need to do is divide it 4.9/9.8 which would equal 0.5
Answer:
1:1
Step-by-step explanation:
In such a triangle, the legs are of equal length (but are shorter than the hypotenuse). Thus, the ratio in question is 1:1.
<span>The answer is: 1, 2, 7, 14 .
</span>_____________________________________________________
Explanation:
________________________________________________
FIrst, list all the factors of 42 (positive integers):
________________________________________________________
1, 42
2, 21,
3, 14,
6, 7
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Then list all the factors of 28 (positive integers):
____________________________________________________
<span> 1, 28
2, 14,
4, 7
</span>_____________________________________________________
Now, list all numbers that occur for BOTH the factors of "28" AND the factors of "42"
_____________________________________________________
1, 2, 7, 14
_____________________________________________________
The answer is: 1, 2, 7, 14 .
_______________________________________________________