A.
the starting point is where t=0
d(0)=-16(0)^2+96(0)+112
D(0)=112
started from 112 feet
b. max height is vertex
for
y=ax^2+bx+c
the x value of the vertex is -b/2a
so
D(t)=-16t^2+96t+112
t value of vertex is -96/(2*-16)=3
it reaches after 3 seconds
C. simpliy evaluate D(t) for t=3
D(3)=-16(3)^2+96(3)+112
D(3)=-16(9)+288+112
D(3)=-144+400
D(3)=256
max height is 256ft
Answer:

Step-by-step explanation:
Given
Shape: Circle
Required
The area and the circumference (relationship)
This implies that, we write an expression that relates the area and the circumference.
Circumference is calculated as:

Area is calculated as:

The area can be rewritten as:

Further rewrite as:

Recall that:
So, the expression becomes


Answer:
61
Step-by-step explanation:
Answer:
Step-by-step explanation:
if we have a right triangle,
one angle=90
180-90=90
let x be one angle, and y another angle
the other is 2x+30
x+2x+30=90
3x=60
x=20
y=70
Answer:
Step-by-step explanation:
35