Answer:
Set up trig ratio using tangent.
Tan theta = opp/adj
Tan theta = 500/800
Tan^-1 (500/800) = 32 degrees
Answer:
---- (a)
-- (b)
Step-by-step explanation:
Given


Solving (a): Sales of $2175 in a week.
His total earnings is calculated as thus:




Solving (b): Sales of $x in a week.
His total earnings is calculated as thus:


Convert percent to decimal


<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).