Step-by-step explanation:
c^2 = b^2 + a^2
c^2 / hypotenuse = 16^2 + 30^2
c^2 = 256 + 900
c^2 = 1156
c =

c = 34 #
sorry if it is wrong
We know that
the unit circle has a radius equals 1 unit
-120°------> is an angle belong to the III quadrant
so
the x and y coordinates will be negative
x=r*cos ∅
y=r*sin ∅
where
r=1
and
∅=180-120-----> ∅=60°
therefore
x=(1)*cos 60°-----> x=1/2-----> x=-1/2 (remember x is negative)
y=(1)*sin 60°-----> y=√3/2-----> y=-√3/2 (remember y is negative
<span>let's apply the Pythagorean theorem
</span>x²+y²-----> (-1/2)²+(-√3/2)²----> (1/4)+(3/4)-----> 1----> is ok because 1 is the radius of the unit circle
the answer is
the coordinates of the terminal point are (-1/2,-√3/2)
1 1/2 gallons = 12 pints
1pint = 2cups
12 pints x 2cups= 24 cups
So the answer is 24cups
The coordinate set (0, 0), (2, 1), (4, 2), (6, 3) represents a straight line. Since the first point is (0, 0) the y-intercept is 0. Now, lets solve for the slope (we can use any of the four points to solve).
Slope formula: y2-y1/x2-x1
= 2-1/4-1
= 1/2
Now that we know what the slope is, we can write the equation of the line.
Slope intercept form: y = mx + b (m = slope and b = y-intercept)
y = 1/2x
Lets find the exponential equation for the line.
y = ab²
1 = ab²
1/a = ab²/a
1/a = b²
√1/a = √b²
√1/a = b
<em>A graph of the coordinates will be below.</em>
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Best of Luck!
In the sequence, the numbers are going down by -3. So the nth term must start with -3n. To get from -3 to 4 you must add 7. This makes the nth term -3n+7.