I need help PLEASE.
Answers
The notation ">=" without quotes means "greater than or equal to"
The upper case "U" means "set union"
Instead of using the intersection symbol, I will use a lower case 'n'
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Problem 1
A = {x | x < 1} which is the set of x values smaller than 1
B = {x | x >= 5} is the set of x values that are equal to 5 or larger
A U B = set of values that are from set A OR they are from set B (or both)
A U B = {x | x < 1 or x >= 5}
we simply connect the two inequalities mentioned with an "or"
note: how there is no overlap between the two regions. The "U" means "set union" which is like a sort of glue to tie the two sets together with an "or".
Answer: {x| x < 1 or x >= 5}
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Problem 2
A = {x | x < 1}
C = {x | x = 5} which is the set of one value only: 5 (x cannot equal any other value)
A U C = {x| x < 1 or x = 5}
So if a number is in set A U C, then this number is either less than 1, OR it is equal to 5
Answer: {x|x < 1 or x = 5}
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Problem 3
B U C = {x | x >= 5} because set C already has the "or equal to" part in there.
Set C is a subset of set B. If an item is in set C, then it is also in set B.
Answer: {x| x >= 5}
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Problem 4
Again recall that I'm using an 'n' to indicate "set intersection" instead of the upside down "U" symbol
A n B is the set of items that are in BOTH sets A and B at the same time. From problem 1, I mentioned there's a gap. There is no x value that is both less than 1 AND greater than or equal to 5. So this means that
A n B = empty set
which we use the "O" with a slash through it. This is a special symbol to indicate "empty set"
Another way to write "empty set" is to use curly braces with nothing inside like so { }
Answer: The "O" with a slash through it
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Problem 5
B n C is the same as {x| x = 5}
Why? Because if an item is in B n C, then it has to be in BOTH set B and set C at the same time. The only way this happens is if x = 5. If x is any other value, then it won't be in set C
Answer: {x| x = 5}
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-7y + 16x - 80 = 0
x =
y =
Answers
Answer:
x=5
y=0
Step-by-step explanation: -7y + 16x - 80 = 0
x=5
-9y + 4x - 20 = 0
y=0
Answers
Answer:
The actual height of 1 story is 15 feet.
Step-by-step explanation:
The given scale is
We know the 10 story building has a height of 12 inches, but we need the actual height of 1, that is, the height of 1 story in feet.
Let's divide to find the number of inches per story
There are 1.2 inches per story.
Now, we know , let's use the rule of three
Therefore, the actual height of 1 story is 15 feet.
1 inch: 25/2 feet
1 inch = 12.5 feet.
12 inches = 12.5 * 12 feet
= 150 feet.
The 12 inches height has an actual height of 150 feet.
Answers
The angle adjacent to the 100 degree outside the triangle is 80 degrees. We know this because it is a supplementary angle, or an angle that, when added along with another angle’s measurement, makes 180 degrees. The line is straight, so the other angle must be 80 degrees to add up with the 100 to make 180 degrees.
Now that we know the other unknown angle, we can use the fact that the sum of angles within a triangle make 180 degrees. The two angles inside the triangle that we know make 150 degrees (80 plus 50), so the final angle ‘x’ must be 30 degrees (180-150=30).
in2
Answers
1:1.5 or
2:3
so
72 is the 3 units
divide 72 by 3
72/3=14
14 times 2=28
the surface area=28 in^2
Answers
The largest possible map that can fit on the page is 8 in. by 12 in.
What is Ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We can begin by finding the scale factor by which the map needs to be reduced.
Since the map dimensions are 24 in. by 36 in., and we want to fit it onto a page that is 8 in. by 10 in.
We need to reduce each dimension by the same factor.
Let x be the scale factor:
24/x = 8
36/x = 10
Solving for x, we get:
x = 24/8 = 3
Therefore, we need to reduce the map by a scale factor of 3.
To find the dimensions of the largest possible map that can fit on the page, we divide the original map dimensions by 3:
24/3 = 8
36/3 = 12
Hence, the largest possible map that can fit on the page is 8 in. by 12 in.
To learn more on Ratios click:
#SPJ2
x/10 = 24/36
x/10 = 2/3
x = 10•(2/3)
x = 6 2/3
So the dimensions are
6 2/3 in by 10 in
Answers
Answer:
Step-by-step explanation:
Given :
We have to write which identity we will use to prove the given statement.
Consider
Take left hand side of given expression
We know
Comparing , we get, a= 180° and b = q
Substitute , we get,
Also, we know and
Substitute, we get,
Simplify , we get,
Hence, use difference identity to prove the given result.
First you would use the sum and difference formula of
cos(a – b) = cos(a)cos(b) + sin(a)sin(b) because you have a difference inside the parentheses for cosine.
Hope this helps.