In set notation, the union of two sets means that we combine the values into one big set. Think of a marriage (which is a union of two people). If two people marry, then they combine their stuff into one big collection (the set of all their stuff). Any duplicate items are removed.
So we have A = {4, 6, 8} B = {3, 4, 7, 10}
which combine to this bigger set {4, 6, 8, 3, 4, 7, 10}
now toss out the duplicate item "4" to be left with {4, 6, 8, 3, 7, 10}
If you want, you can sort the values from smallest to largest: {3, 4, 6, 7, 8, 10}
So the answer is <span>{3, 4, 6, 7, 8, 10}
Note: the order of the set doesn't matter though it's handy to sort</span>
Use the inverse sine function to calculate the angle measure. While the sine function uses the opposite and hypotenuse's angle measures, the inverse sine uses the side lengths of the opposite and hypotenuse.
Using something like desmos, plug in arcsin(11/32) and make sure you have selected degrees instead of radians in the setting to get the correct output.
Note that Inverse sine , cosine, and tangent can be written like arcsin, arccos, arctan or sin^-1, cos^-1, tan^-1.
Total amount of apples that Nicole bought was 6 pounds.
Each pound of apple cost $1.50
This means that the total cost of the 6 pounds of apple that Nicole bought would be
6 × 1.5 = $9
The store had a discount of $2 off her total purchase. This means that the amount that was paid is
9 - 2 = $7
If Nicole and her friend then divided the cost of the purchase evenly, let x represent the amount that each of them would pay. Therefore, the expression that can be used to determine how much Nicole and her friend each paid for the apples would be
