Answer:
176 books
Step-by-step explanation:
Let's call the number of fiction books 'F', and the number of non-fiction books 'N'. Then, we can write the following system of equations:
eq1:
eq2:
Using the 'F' value from the first equation, we have:
The total number of books is:
Answer:
Option d) is correct
ie, quotient property
Step-by-step explanation:
Given expression is log 618-log 66=log 63
Now we take log 618-log 66
log 618-log 66 = log [By using quotient property, log
]
= log 63
Therefore log 618- log 66= log 63
Option d) is correct
In the given expression we are using the quotient property
(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