Answer:
Step-by-step explanation:
Consider the rule
C
−
A
−
S
−
T
or All Slow Turtles Crawl for this type of problem.
Both of these rules indicate in which quadrant the trigonometric function is positive. In all quadrants except the first, only 1 out of the three trigonometric functions are positive; the other two are negative.
Quadrant 1: All are positive
Quadrant 2: Sine is positive
Quadrant 3: Tangent is positive
Quadrant 4: Cosine is positive
The acronym and the expression mentioned above are meant to facilitate your ability to remember these. Beware, though that C-A-S-T starts in the 4th quadrant and then goes to the 1st, 2nd and finally the 3rd, while "All Slow Turtles Crawl# goes from 1st to 4th.
Now, back to the problem at hand.
If cosine is positive, then we are already limited to 2 quadrants: IV and I. However, in quadrant I, all the functions are positive, and the problem says that sin is negative in this case. This leaves us one option: quadrant IV.
Answer:
1
Step-by-step explanation:
0.79 is more than half, so rounds to 1.
Ths number that goes beneath the radical symbol is 29.
Explanation:
- If we form a triangle using the given points, we drop a vertical line from (1, 1) and a horizontal line to the left of (3, -4). The point where both the lines intersect is the third point. The other point is (1, -4).
- The vertical distance from (1, 1) and (1, -4) is 1 - (-4) = 1 + 4 = 5 units, the horizontal distance from (1, -4) and (3, -4) is 3 -1 = 2 units.
- The opposite side of the triangle measures 5 units while the adjacent side measures 3 units. The line joining (1, 1) and (3, -4) is the hypotenuse. Assume the hypotenuse measures x units.
- According to Pythagoras theorem, x = √(5² + 2²), x = √25 + 4 = √29. So the number under the radical symbol is 29.
The old mean was 51 now the mean is 42.33... (round that to 42) 51 - 42 = 9
Answer:
78.5 cm. cubed
Step-by-step explanation: