Answer:
311.41 degrees
Step-by-step explanation:
If 4 sin Ф = -3 and Ф is between 0 and 360 degrees, then we conclude that Ф must be either in Quadrant III or Quadrant IV (because the sine is negative).
Let's assume we're in Quadrant IV. Then sin Ф = opp / hyp = -3/4; that is, the opp side is negative and has length 3, and the hypo is positive 4.
According to the Pythagorean Theorem, (-3)^2 + x^2 = 4^2, or,
x^2 = 16 - 9 = 7.
Then x is either √7 or -√7.
To find the angle Ф, use the inverse sine function:
Ф = arcsin (-3/4). Using a calculator we get the angle -40.59 degrees, which corresponds to (360 degrees - 40.59 degrees), or 311.41 degrees. We can check this by finding the sine of 311.41 degrees; the result is -0.75, which matches "If 4sintheta = -3."
Answer:
Step-by-step explanation:
A_{n+1}=14*A_{n}
A_{1}=8
A_{1+1}=14×8=112
A_{2}=112
A_{3}=14*A_{2}=14×112=1568
A_{4}=14*A_{3}=14×1568=21952
A_{5}=14*A_{4}=14×21952=307328
Answer:
The perpendicular slope is -4/3
Step-by-step explanation:
Perpendicular slopes multiply to -1
m * 3/4 = -1
Multiply each side by 4/3
m * 3/4 *4/3 = -1 * 4/3
m = -4/3
The perpendicular slope is -4/3
Answer:
44/3
Step-by-step explanation:
V=L*W*H
WH=22/3
V=2*(22/3)
