Sin 45° = opposite side / hypotenuse
1/2 = 8/h
h = 16
2)6/12 = 1/2
1/2 = sin 45°
6√3/12 = √3/2
√3/2 = cos 30°
Sum of angles of triangle = 180°
The 3rd angle = 180 - (45 + 30) = 180 - 75 = 105°
Angles = 30° , 45° , 105°
(c+4/c^2+5c+6)/(3c^2+12c/2c^2+5c-3)= (c+4)/(c^2+5c+6) Multiplied by (2c^2+5c-3)/3c^2+12c= 2c^3+5c^2-3c+8c^2+20c-12/3c^4+12c^3+15c^3+60c^2+18c^2+72= 2c^3+13c^2+17c-12/3c^4+27c^3+78c^2+72c
The equation can be written in vertex form as
y = a(x +2)² - 3
Substituting the given values, we can find the coefficient "a".
-5 = a(-1+2)² -3
-2 = a . . . . . . . . . add 3 and simplify
The coefficient of the squared term is -2.
3/8 ÷ 3/4
4/8 = 1/2
the sloth moves 1/2 a foot per minute