Answer:
-1/2
Step-by-step explanation:
sin(30 degrees) = sin (pi/6) = 1/2
cos(30 degrees) = cos (pi/6) = [sqrt(3)]/2]
sin (60 degrees) = sin(pi/3) = [sqrt(3)]/2]
1/2 - [sqrt(3)/2] / [sqrt(3)/2] = -1/2
Answer:
The coast guard craft will get to the distressed boat the fastest.
Step-by-step explanation:
The coordinates of boat are (57,64).
The coordinates of rescue boat are (67,83).
The coordinates of coast guard craft are (65,46).
Both rescue crafts travel at the same rate. One of them will get to the distressed boat the faster, whose distance from the boat is least.
Distance formula:

The distance between boat and rescue boat is

The distance between boat and coast guard craft is

Since the distance between boat and coast guard craft is least, therefore coast guard craft will get to the distressed boat the fastest.
First, are you really familiar with the graph of y = [x]? If so, your answer choices move that graph up or down.
A. Move the graph of y=[x] UP 3 units
B. Move the graph UP 1 unit
C. Move the graph DOWN 1 unit
D. Move the graph DOWN 3 units
The graph you're given on the problem screen is not a very good one, I think. Would it help to draw y = [x] on a piece of graph paper where one square = 1 unit? The graph you're shown has one square = 2 units, which could lead to some confusion.
So, draw the graph of y = [x], then figure out which way the graph was moved -- and how far -- to get the graph in the problem.
Here is a link to a YouTube video that might help a lot.
https://youtu.be/UQ3a2QH_-GU
Answer:
-32
Step-by-step explanation:
Because if you multiply
4 x-2=-8
-8 x -2=16
16 x -2 =-32
-32 x -2=64
The factors of 697 or 6,9,7?