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:
use midpoint equation
radius = distance between midpoint and one of the endpoints.
midpoint: (3+5)/2, (2+6)/2, (5+7)/2 = (4,4,6)
equation of sphere: (x-4)^2 + (y-4)^2 + (z-6)^2 = r^2
square distance between midpoint and one of the endpoints.
r^2 = 6
Equation: (x-4)^2 + (y-4)^2 + (z-6)^2 = 6
<em>Answer:</em>
<em>22,35 £</em>
<em>Step-by-step explanation:</em>
<em>How much does each ticket cost ?</em>
<em>134,10 : 6 = 22,35 £</em>
<em />
<em>134,10 : 6 = 22,35</em>
<em>12</em>
<em>___</em>
<em>= 14</em>
<em> 12</em>
<em> ___</em>
<em> =21</em>
<em> 18</em>
<em> ___</em>
<em> = 30</em>
<em> 30</em>
<em> ___</em>
<em> = = </em>
Answer: yes
Step-by-step explanation:
