Answer:
cos∠ABC = 12/15 = 0.80
tan∠ABC = 9/12 = 0.75
sin∠ACB = 12/15 = 0.80
cos∠ACB = 9/15 = 0.60
tan∠ACB = 12/9 = 1 1/3
Step-by-step explanation:
Find the Adjacent, Opposite, or Hypotenuse angles to the angles in the picture and fill them into the given fraction.
cos∠ABC = Adjacent/Hypotenuse = 12/15 = 4/5 = 0.80
tan∠ABC = Opposite/Adjacent = 9/12 = 3/4 = 0.75
sin∠ACB = Opposite/Hypotenuse = 12/15 = 4/5 = 0.80
cos∠ACB = Adjacent/Hypotenuse = 9/15 = 3/5 = 0.60
tan∠ACB = Opposite/Adjacent = 12/9 = 1 1/3 (1 1/3 in decimal form is 1.3 with a line on top of 3 (Bar on top of 3))
Answer:
9712
Step-by-step explanation:
eaxex
Y^4-4y^3+7y^2-6y-2y^3+8y^2-14y+12=
y^4-6y^3+15y^2-20y+12
or
y^3-4y^2+7y-6=y^3-4y^2+4y+3y-6=
y(y^2-4y+4)+3(y-2)=
y(y-2)^2+3(y-2)=(y-2)[y(y-2)+3]=(y-2)(y^2-2y+3)
(y^3-4y^2+7y-6)(y-2)=(y-2)^2(y^2-2y+3)
Answer:
The coordinates of N are (-3,-8)
Step-by-step explanation:
Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)
we have;
m = 3 and n = 4
M is (x1,y1) while N is (x2,y2)
we have;
(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)
(x,y) = (-48 + 27)/7, (-20 -36)/7
(x,y) = (-21/7 , -56/7)
(x,y) = (-3,-8)
The red marble is farthest from the target.
