Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as
. So let's plug in known values:

Multiply both sides by x

divide both sides by sin(43)

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

simplify the fraction

Tow ratios that have the same value when simplified.
Hope this helps!!;)
Answer:
First one 31 oz
Second one 144 pages
Step-by-step explanation:
First one
Divide 434 by 14 (434/14) to get how many oz in a cup since its 14 oz per cup and he has 434 oz
Second one
Add up all the cards since it says "all of his cards" (2592) and divide it by 18 since each page holds 18 cards