Answer:
-0.41 radians
Step-by-step explanation
(Credit goes to calculista)
let
A---> the angle
if sin A=-0.4
then
A=sin-1(-0.4)
using a calculator
A=-23.578°----> the angle A belong to the IV quadrant
convert to radians
if pi radians--]----> 180°
x--------> -23.578°
x=-23.578*pi/180----> x=-0.41 radians
Read more on Brainly.com - brainly.com/question/9675799#readmore
Just look at both picture and you are going to understand
176 = a1 * r^4
704 = a1 * r^6
dividing:-
r^2 = 706/174 = 4 so r = +/- 2
a1 = 176 / 2^4 = 176/16 = 11
So 11 is the first term
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
