Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
Answer:
58 feet.
Step-by-step explanation
Since the angle given is across from the length we need to find and we are given the hypotenuse, we use sine.
Sin(46)=x/80 where x is the height of the triangle and 80 is the hypotenuse.
80sin(46)=x
x=57.55 or 58 feet.
X * 0.85 = 136
x = 136/0.85
x = 160
hope this helps :)
Answer:
Step-by-step explanation:
The first one.
Answer should be <span>Both Fred's and Victoria's proofs are correct.</span>
