hint : 3^x * 3^4 = 3^(x+4) not 3^(4x)
Good job.....hadn't occure to me !
multiply both sides by x+4
to get
x = -9(x+4) / (x+3) Multiply both sides by x + 3 to get
x (x+3) = -9 (x+4) expand
x^2 + 3x = - 9x - 36
x^2 + 12x + 36 = 0 factor
(x+6)(x+6) = 0 two roots at x = -6
When the ball hits the ground h = 0
so set the equation = 0 and solve for 't'
0 = -4.9t^2-3.5t + 2.4 solve for t (quadratic formula) Let me know what you find!
subtract x from both sides to get
5x + 8 = 35 now subtract 8 from both sides
5x = 27 divide by 5
x = 27/5 = 5 2/5
Diagram? Need angle of sloping side or height to determine volume...
Circumference of ENTIRE circle is pi * diameter = 30 pi inches
Entire circle is 2 pi Radians
this arc is a fraction of 2 pi radians the fraction is 35 in / 30 pi inches
35/(30pi) * 2pi Radians = 2.33 Radians
The total circumference is pi x diam = pi x 20(2) = 40 pi ft
38 degrees is 38/360 fraction of this total circumference 38/360 x 40 pi = 13.26 ft
pi/7 Radians x 180 degrees/ pi Radians = 25.71 degrees
95 degrees + 3/60 degrees + 55/3600 degrees = 95.0652778 degrees
95.0652778 degrees x pi radians/180 degrees = 1.659 R = ~~ 1.66 Radians