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
Answer:
f is a function because each student, or each element of the domain, corresponds to one element of range.
Step-by-step explanation:
function is each input has one output. input is domain, output is range
Answer: see below
Step-by-step explanation:
11.3x=15-2x
We move all terms to the left:
11.3x-(15-2x)=0
We add all the numbers together, and all the variables
11.3x-(-2x+15)=0
We get rid of parentheses
11.3x+2x-15=0
We add all the numbers together, and all the variables
13.3x-15=0
We move all terms containing x to the left, all other terms to the right
13.3x=15
x=15/13.3
x=1+1/7.8235294117647
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:
brainly.com/question/8728504
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Answer:
Each friend ate 4 tacos.
Step-by-step explanation:
"4 of his friends ate s tacos" is unclear. I assume it should be
"4 of his friends ate s tacos each."
total tacos = 2 + 4s = 18
4s = 16
s = 4
His four friends ate a total of 16 tacos, each friend eating 4 tacos.
Ricky's reason, i.e., that 6s = 18, is incorrect.
6s = 4s+2s, where 4s is what his friends ate in total.
That implies that Ricky ate 2s tacos, instead of 2 tacos. If 2s = 2 then s = 1, but then 6s ≠ 18.