Answer:
The required result is proved with the help of angle bisector theorem.
Step-by-step explanation:
Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that 
Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.
In ΔADB, AE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.
→ (1)
In ΔDCB, CE is the angle bisector
∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.
→ (2)
From equation (1) and (2), we get
Hence Proved.
The ball's maximum height is 30.25 feet.
<h3>What is quadratic equation?</h3>
A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.
Given:
h= -16t²+36t+10
Differentiate w.r.t. 't',
h' = -32t+36
When h=0, that will be the maximum height
32t= 36
t= 9/8
t= 1.125 sec.
So, The maximum height is
h(1.123)= -16(1.125)² + 36*1.125+10
h(1.125) = 30.25 feet.
Learn more about this concept here:
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Answer:

Step-by-step explanation:
Given:
radius of cone = 3 inch
Total area of cone = 
Find the volume of the cone?
We know the area of cone =
-------(1)
Where r = radius
Ans s = side of the cone
Put the area value in equation 1
-------(1)


Put r value in above equation.



The side s = 5 inches
We know the side of the cone formula


Put r and s value in above equation.




The volume of cone is

Put r and h value in above equation.

The Volume of the cone is 
Answer:
Step-by-step explanation:
c+7
you have 7 more then a number c
Answer:
0 = 0
Step-by-step explanation: