What is the relationship between the values m and n plotted on the number
2 answers:
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Answer:
d) 12(100) + 12(80) + 12(5)
Step-by-step explanation:
According to the distributive property, if a,b, c, and d are real numbers, then
a(b+c+d)=ab+ac+ad
We want to find the product 12(185).
We can expand 185 as 100+80+5
Our product then becomes;
We expand using the distributive property to get;
The correct choice is D
Recall the double/half angle formulas:
We're given , and since
is between π/2 and π, we expect
to be negative. So from the Pythagorean identity, we find
Also, we know will fall between π/4 and π/2, so both
and
will be positive. Then we find
and it follows that