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<h2>9 ft</h2>
Step-by-step explanation:
The height of kangaroo after it jumps is represented by the function
, where
is in seconds, height is in feet.
To find the maximum height that the kangaroo jumps, we need to maximise
.
The minimum/maximum value of a quadratic expression
is given by
.
As the coeffecient of quadratic term is negative, the function has a maxima.
Maximum value =
.
∴ Maximum height = 9 ft
Answer:
C.
Step-by-step explanation:
Volume of cylinder = πr²h
= (3.14)(4)(0.75)
= 9.4
Since she'll fill it half so
Amount of water to be filled = 4.7
The original height of the tree is 60 m
Answer:
Perimeter of given regular hexagon is <em>48.5 ft</em>.
Step-by-step explanation:
Let <em>ABCDEF</em> be the regular hexagon as shown in the attached figure.
<em>O</em> be the intersection point of the diagonals <em>EB</em>, <em>FC </em>and <em>AD</em>.
As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.
In other words,
are equilateral
.
Area of an equilateral
is defined as
:

Where <em>a </em>is the side of
.
Area of hexagon = 
We are given that area of hexagon = 169.74 
Let <em>s </em>be the side of hexagon.

A regular Hexagon is made up of 6 equal sides, so
Perimeter of a regular hexagon = 
Perimeter = 

So, perimeter of given regular hexagon is
.