proofs:
<h2>S subset S Union T</h2>
We want to prove 
Let 
. By definition 
is the set that contains the elements of 
and the elements of 
. Then 
must be in . As was arbitrary, we conclude that .
<h2>T Subset S Union T</h2>
This proof is analogous to the previous one. In fact, this result is the same result as the previous one.
<h2>S Intersection T subset S </h2>
We want to prove 
Let 
. By definition of the intersection 
should be in and also in . Then, we already saw that 
. As was arbitrary we can conclude that .
<h2>S Intersection T subset T</h2>
This is the same result as the previous one. There is no need to prove it anymore, but if you wish, you can reply the exact same proof.
Answer:
p=2
Step-by-step explanation:
4.05p+14.40=4.50(p+3) < equation
4.05p+14.40=4.50p+13.50 < multiply
14.40=.45p+13.50 < subtract
.9=.45p < subtract
2=p < divide
Answer:
17.7 ft
Step-by-step explanation:
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
We solve using the Trigonometric function of sin
sin = Opposite/Hypotenuse
Opposite = Height = ?
Hypotenuse = Length of the ladder = 20 ft
Hence:
sin 62 = h/20 ft
Cross Multiply
h = sin 62 × 20 ft
h = 17.658951857 ft
Approximately = 17.7 ft
Answer:
y = 2x
Step-by-step explanation:
plug in the x number of scooters to get cost y
multiply by two each time
hope this helps :)
3,100,100
HOPE THIS HELPS!!!
