It would be in the fourth quadrant because x is positive and y is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
Answer:
The answer is True.
Step-by-step explanation:
-3x - 10 > -31
-3(5) - 10 > -31
-15 - 10 > -31
-25 > -31
True.
First lets do the math...
-72 / -9 = 8
the reciprocal of a number is just flipping the number.
example : the reciprocal of 2/3 = 3/2.....the reciprocal of 6/7 = 7/6...and when u have a whole number, put it over 1...
so the reciprocal of 8, or 8/1 is gonna be 1/8 <==
or u could do it this way...
reciprocal of -72 / -9 = -9 / -72, which equals 1/8
If he only runs he ran 35 hours that and if he only walked he walked 70 hours that week
