<span>The pressure, P, of a gas, varies inversely with its volume, V
</span>
∴ PV = k where k is constant
<span>The pressure is 84 Pa at a volume of 36 L.
</span>
<span>∴ at P = 84 ⇒⇒⇒ V = 36
</span>
<span>∴ K = PV = 84 * 36 = 3,024 ⇒⇒(1)</span>
If the volume is expanded to 216 L, what will the new pressure be?
We need to find P at V = 216
From the equation (1) ⇒⇒⇒ PV = 3024
substitute with V = 216
∴ 216 P = 3024
∴ P = 3024/216 = 14
The correct answer is option <span>B. 14 Pa</span>
13 I guess, or 12 i don't rlly know
The main identity you need is the double angle one for cosine:
We get
Expand the numerator to apply the identity again:
Finally, make use of the product identity for cosine:
so that ultimately,
Answer:
3/8 is terminating decimal number. It's decimal value is 0.375
