Answer:
Option A
Step-by-step explanation:
Number of employees exceeded their sales quota = 17
Number of employees met their sales quota = 13
Number of employees didn't exceed their sales quota = 3
Now, we need to find the ratio of the number employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota,
So, Option 'A' is correct.
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SOLUTION:
Step 1:
In this question, we are meant to:
Translate the following word phrases to an algebraic expression and simplify:
“8 times the difference of 6 times a number and 3”
Step 2:
Assuming the unknown number be y, we have that:
CONCLUSION:
The final answer is:
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ = = 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified