9514 1404 393
Answer:
(c) 14.5 cm
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = BC/BA
BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm
BC ≈ 14.5 cm
_____
<em>Additional comment</em>
As is often the case, a simple estimate is all that is needed to identify the correct answer choice.
You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.
Answer:
The possible numbers of songs that you can burn onto the CD is 11.
Step-by-step explanation:
The total storage capacity of CD = 70 minutes
Storage already used = 25 minutes
Hence, The available storage = Total available storage - Used Storage
= 70 minutes - 25 minutes = 45 minutes
Hence, the CD has 45 minutes storage left.
Now, each song takes up 4 minutes of storage.
⇒ 
= 
⇒The number of songs possible = 11.25 ≈ 11
Hence, the possible numbers of songs that you can burn onto the CD is 11.