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:
C. x < 40
Step-by-step explanation:
x/5 - 3 < 5
x/5 -3 + 3 < 5 + 3
x/5 < 8
(5/1) x/5 < 8 (5/1)
x < 40
F(x) = -3x + 7
y = -3x + 7
x = -3y + 7
-3y + 7 = x
-3y = x - 7
y = -1/3x + 7/3
f^-1(x) = -1/3x + 7/3
Answer:
Step-by-step explanation:
Roasted turkey in Ally's Eats = 75
Roasted turkey in Bob's goods = 4 / 5 x Ally's Eats
= (4 / 5) x 75
= 60
Roasted turkey in Charlotte's Market = N ( let )
Given
5/6 N = 75
N = 6 / 5 x 75
= 90
Roasted turkey in Charlotte's Market = 90 .
Answer:
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