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artcher [175]
3 years ago
14

one third of a number increased by 12 one thirdn + 12 n plus 12 over 3 one third(n + 12) n + one third(12)

Mathematics
2 answers:
Tom [10]3 years ago
8 0
One-third of a number......1/3n
increased by 12....+ 12

(1/3)n + 12
Anastaziya [24]3 years ago
4 0

Answer:

A.

Step-by-step explanation:

\frac{n}{3}+12

Let the number be n

First find the one third of the number.

One third of n

\frac{1}{3}*n\\=\frac{n}{3}

Now we have to increase this number by 12, that is we will add 12 to this and get

\frac{n}{3}+12

Hence the answer is \frac{n}{3}+12

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\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------

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