Answer: 60
Step-by-step explanation: 8(10) - 20 // 8x10=80-20= 60
Answer: The coordinates of point B are (19 , 20).
Step-by-step explanation:
The mid point (x,y) of line joining (a,b) and (c,d) is given by :-
(1)
Given : Point A is located at (3,6). The midpoint of line segment AB is point C(11,13).
Let the coordinates of point B are (a,b) m, the according to (1) , we have
Hence, the coordinates of point B are (19 , 20).
Answer: x = 16
Step-by-step explanation:
4x + 4x-2 + 3x + 6 = 180 (being sum of triangle)
or, 11x + 4= 180
or, 11x = 176
so, x = 176/11
so, x = 16
Answer:
sin theta = +(√23)/5
Step-by-step explanation:
Did you know that the cosine is an even function, so that cos (-theta) = cos (+theta)?
Thus we have:
cos(θ)= −√2/5 , sinθ>0
If the cosine of theta is negative, that means that the terminal side of theta is in either Quadrant II or III. Since the sine of theta is positive, we can deduce that theta is in Quadrant II.
Given cos(θ)= −√2/5, we square both sides, obtaining (cos theta)^2 = 2/25. Using the formula (sin theta)^2 + (cos theta)^2 = 1, we arrive at:
(sin theta)^2 = 1 - 2/25, or 23/25.
Then sin theta = +(√23)/5.
