Story Problem
2 answers:
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<h3>Answer: </h3>
The GCF is 4
The polynomial factors to
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Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).
Answer:
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:
Therefore, the length of the opposite side is about 7.8 units