Note that the tray of the ball is given by the equation of a parabola of negative main coefficient. Then, the maximum value for a parabola is at its vertex.

For an equation of the form

$at ^ 2 + bt + c$

the t coordinate of the vertice is:

$t =-\frac{b}{2a}$

In this case the equation is:

$h(t)=72t-16t^2$

$a=-16\\b=72\\c=0$

Therefore

$t =-\frac{72}{2(-16)}$

$t=2.25\ s$

Finally the maximum height that the ball will reach is

$h(2.25)=72(2.25)-16(2.25)^2$

$h=81\ ft$

8 0

3 years ago

What is the area of a circle with a radius of 10 feet? (Use 3.14 for ρ.)

bekas [8.4K]

Answer:

The area of a circle = 314 sq. ft

Step-by-step explanation:

Given:

Radius = 10 ft

pi = 3.14

To Find:

The area of a circle = ?

Solution:

A = pi x r^2

A = 3.14 x (10)^2

A = 3.14 x 100

A = 314 sq. ft

Therefore,

The area of a circle = 314 sq. ft

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8 0

3 years ago

Express 61 as a the sum of four or less square numbers

umka21 [38]

6^2 + 5^2 :)))
as that’s 36 + 25 = 61

5 0

3 years ago