The answer is A. If they buy 16 masks and 12 noses then that is 28.
Answer:
23.9lbs or 24lbs
Step-by-step explanation:
This may not be correct so don't bet your first born on it
Answer:
C
Step-by-step explanation:
Note that <em>x</em> is opposite to the given angle and we are also given the hypotenuse.
Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:

The opposite side is <em>x</em>, the hypotenuse is 15, and the angle is 53. Substitute:

Solve for <em>x: </em>
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Use a calculator (make sure you're in Degrees Mode!). Hence:

Our answer is C.
ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2