Answer: The maximum length that can be used is 56 inches.
Step-by-step explanation:
Since we have given that
Width of package = 14 inch
Height of package = 12 inch
Let the length of package be 'l'.
Combined length and girth i.e. distance around = 108 inches.
So, According to question, we get that
Hence, the maximum length that can be used is 56 inches.
Answer:
x = 90°
y = 90°
Step-by-step explanation:
The angle indicated with a box shape is a right angle = 90°
Thus:
x corresponds to 90°. Therefore,
x = 90°
✔️y = 180 - x (linear pair theorem)
y = 180 - 90 (substitution)
y = 90°
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr
<h3>
Answer: 5</h3>
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Explanation:
From the table, we see that g(1) = 0
Locate x = 1 in the first row. Then look straight down to see 0 in the g(x) row. That's why g(1) = 0.
This means f( g(1) ) = f( 0 ). I simply replaced g(1) with 0.
The last step is to evaluate f(0).
Locate 0 in the x row. Then look down to see 5 below it. Therefore, f(0) = 5.
Ultimately, f( g(1) ) = f(0) = 5
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In short: the input x = 1 leads to g(x) = 0. Then x = 0 is the input for f(x) which leads to 5.
