Answer:
5 units
Step-by-step explanation:
here;
perpendicular (p)= 3
base (b) = 4
hypotenuse (h) = c= ?
By Pythagorean relationship;
h²=p²+b²
or, h= √(p²+b²)
or, c= √(3²+9²)
or, c= √25
hence, c=5
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:
you want to flip the original coordinates and make them both negative so (x,y) would become (-y,-x) so in your problem here Q' would be (0,-7), R' would be (-5,-8), S' would be (-10,-7) and T' would be (-5,-2). Hope that helped :>
Step-by-step explanation:
