Answer: Choice B. sqrt(2)
Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how
tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1
Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long
a^2 + b^2 = c^2
(1)^2 + (1)^2 = c^2
2 = c^2
c^2 = 2
c = sqrt(2)
The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with
sec(theta) = hypotenuse/adjacent
sec(theta) = AC/AB
sec(theta) = sqrt(2)/1
sec(theta) = sqrt(2) which is why choice B is the answer
Answer:
see below
Step-by-step explanation:

find common denominator and add the fractions in numerator and denominator:
1/x² + 2/y = y+2x²/x²y
5/x -6/y² =5y² -6x/xy²
(y+2x²)/x²y / (5y²-6x)/xy² change into multiplication
(y+2x²)/x²y * xy²/(5y²-6x)
simplify
y(y+2x²)/ x(5y²-6x)
Answer:
A transition down six units
Step-by-step explanation:
-2-6=-8
Start at (0, 135) and work your way down 15 and over one each time. Your next point would be (1, 120)
Hello!
1 minute 3 seconds = 63 seconds
We must found out 63 is 90% of what number, using the percentage formula:
90 * 100 / 63 = 70
70 seconds = 1 minute 10 seconds
So, Niki's time for one lap is 1 minute 10 seconds (70 seconds).