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:
24
Step-by-step explanation:
The number line should read 18, 24, 30, 36, 42. There is a spacing of 6 units between each tick mark.
Good luck.
Hope this helps!
Answer:7.5
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The applicable rules of exponents are ...
- (a^b)(a^c) = a^(b+c)
- a^(-b) = 1/a^b
Using these to simplify your expression, you get ...
