Background info: Two friends are trying to decide how long their ladder should be for the zip line they are building. There are
two choices: 40ft or 25ft
i chose 40ft. the ladder is leaning against the tree at a 75 degree angle. i need to fill in the missing angles, but am stuck. pls help ;(
i chose 40ft. the ladder is leaning against the tree at a 75 degree angle. i need to fill in the missing angles, but am stuck. pls help ;(
1 answer:
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Answer:
Step-by-step explanation:
The absolute value of a number is the positive version of that number. So, if
is positive, its absolute value is
itself. If
is negative, its absolute value is
, so that it will be positive again.
So, if the absolute value of a number is smaller than a certain quantity, i.e. it means that the positive version of
is less than
.
So, if is positive, the inequality becomes
. If
is negative, the inequality becomes
.
So, as a compound inequality, we have
So, in your case, we have
Add 8 to all sides in this inequality:
So, on a number line, you must higlight all numbers between 7.79 and 8.01, endpoints excluded.
Conceptually, this means that the bolt measurement should be exactly 8mm, but you can accept bolts that are 0.01 millimeters shorter of larger.