Answer:
Step-by-step explanation:
Answer:
9
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Explanation:
The area of the parallelogram is equal to the base times height. The formula to use is A = b*h. The height and base are always perpendicular to one another.
The base is some unknown variable b. Multiply the base by the height 15 to get 15*b which is equal to the area 135
Therefore, 15*b = 135
Divide both sides by 15 and we isolate b
15b = 135
15b/15 = 135/15
b = 9
So the base is 9
Check:
area = base*height = 9*15 = 135
so the answer is confirmed
side note: we never use the value 17 at all. It is likely put in there as a distraction.
Step-by-step explanation:
The area is 128
multiply the base by the height, and then divide by 2.
the base is 16 and the height is also 16 so 16x16 is 256 divided by 2 is 128
Answer: 6
Step-by-step explanation:
(24 - x)/2 = 9
multiply both sides by 2
24 - x = 18
subtract both sides by 24
-x = -6
multiply both sides by negative 1
x = 6
Part (a)
<h3>
Answer: Ø</h3>
This is the empty set
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Explanation:
It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.
This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.
We can write Ø as { } which is a set of curly braces with nothing inside it.
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Part (b)
<h3>Answer: {1,2,3,4,5,6}</h3>
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Explanation:
When you union the universal set with any other set, you'll get the universal set.
The rule is 
where I've made B the universal set to avoid confusion of the letter U and the union symbol 
which looks nearly identical.
Why does this rule work? Well if an item is in set 
, then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.
It's like saying
- A = set of stuff inside a persons house
- = set of stuff outside a persons house (ie stuff that is not in set A)
- U = set of every item
we can see that 
will basically form the set of every item, aka the universal set.
