Answer:
Width of the box = 18.97 inches
Step-by-step explanation:
Length of the bat = 36 inches.
That means length of the diagonal of the bat (BC) = 36 inches
By applying Pythagoras theorem in right triangle BDC,
BC² = BD² + CD²
BC² = (30)² + w² -------(1)
BY applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
(36)² = 6² + BC²
By substituting the value of BC from equation (1),
(36)² = 6² + (30)² + w²
1296 = 36 + 900 + w²
w² = 1296 - 936
w = √360
w = 18.97 inches
The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>The rate of change is calculated using:
For function g at the interval [2,3], we have:
This gives
For function h at the interval [0,2], we have:
Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives
For function f at the interval [1,2], we have:
This gives
Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
Read more about average rates of change at:
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