Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.
<u>Answer:</u>
11. g
12. f
13. e (add all the frequencies)
14. d
15. c (eg. 17.5 -8.5 = 9)
16. b
17. a
Let me know if you have any questions.
Hope this helps!
Answer:
The answer to your question is csc Ф = 
Step-by-step explanation:
Process
1.- Determine the sign
We must determine csc Ф in the forth quadrangle, here csc is negative.
2.- Determine the hypotenuse
c² = a² + b²
c² = 3² + (-4)²
c² = 9 + 16
c² = 25
c = 5
3.- Determine csc Ф
csc Ф = 
csc Ф =
= 
Answer:
C) Reflection about the origin
Step-by-step explanation:
DE points to the right and slightly down. D'E' points to the left and slightly up. The segments are parallel, not perpendicular, so represent a rotation of 180°, not 90°. If the figure were subject only to translation, these segments would point in the same direction.
The transformation is a reflection about the origin (C). (This is equivalent to a rotation of 180°.)