Answer:
Step-by-step explanation:
So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.
Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.
So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.
The total cost would be 200
Answer:
35
Step-by-step explanation:
Make equations, l = w+5 and 2l + 2w = 150
Substitute w+5 into 2l + 2w = 150
Simplify to get 4w + 10 = 150
Subtract 10 from both sides to get 4w = 140
Divide both sides by 4 and you get 35 as width
.04*7115.68=284.6272
$284.62 or $284.63 (depending on how lenient your teacher is with rounding)
Sin θ = opposite leg/hypotenuse
csc θ = hypotenuse /opposite leg =8/7
cot <span>θ = adjacent leg/opposite leg
hypotenuse =8
opposite leg =7
We need to find adjacent leg.
(Opposite leg)² +(adjacent leg)² = hypotenuse²
7² + </span>(adjacent leg)² =8²
(adjacent leg)² = 64 - 49
(adjacent leg)² = 15
adjacent leg=+/-√15
<span>WE need only positive root,
so </span>adjacent leg =√15
cot θ = √15/7 or 0.5533<span>
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