Answer:
13.858
Step-by-step explanation:
The steps are listed in the graphic.
Depth=15
x=(height(h)*width(w)*hypotenuse(y))/2
x=(3*4*5)/2=(60/2)=30
y=(x(x-h)(x-w)(x-y))^(1/2)
f=(-h^4+2(hw)^2+2(wy)^2-w^4+2(hy)^2-y^4)^(1/2)
f=(-3^4+2(3*4)^2+2(4*5)^2-4^4+2(3*5)^2-5^4)^(1/2)
f=576^(1/2)
f=24
Surface Area= 2f(.5)+(h+w+y)*depth
192=depth*(3+4+5)+24(.5)
180=(3+4+5)*depth
180=(12)(depth)
15=depth
Answer:
59049
Step-by-step explanation:
The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.
The explicit formular for the geometric sequence is shown as;

The explicit formula is shown as;
54 x (0.750)^9
The rest is simply to solve for the height on the 10th bounce
Answer:
-65
Step-by-step explanation:
h(t) = (-5)^3 -2(-5)
h(t) = -75 +10
h(t) = -65