1/8; 0.2; 13/26; 3/5; 7/8; 1.09; 1.19; 1.5; 1.9
Answers:
Center = (4, 7)
Radius = 7
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Explanation:
The general template of any circle is
(x-h)^2 + (y-k)^2 = r^2
This general circle has these properties:
Based on the equation your teacher gave you, we see that
- h = 4
- k = 7
- r = 7, since 7^2 = 7*7 = 49
Therefore, this circle has center = (4,7) and radius = 7
Side note: The center's y coordinate and radius aren't always the same value.
Answer:
Step-by-step explanation:
Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.
If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.
If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.
Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:
Answer:
Step-by-step explanation:
If the regular price of a T-shirt is 10 USD and the store sells off its wares at 80% of its regular price, then the price at which the store would still the aforementioned T-shirt would be 80% of its 10 USD price.
80% of $10 =
0.8 * 10 = $8
This means that the price at which the T-shirt will go for, due to the ongoing sales will be $8.
Also, being asked to find the 10% and 20% of $10 is just as simple
10% of $10 =
0.1 * 10 = $1
20% of $10 =
0.2 * 10 = $2
Therefore, the 10% and 20% of $10 is $1 and $2 respectively.
(1 point) Consider the universal set U={1,2,3,4,5,6,7,8,9,10}, define the set A be the even numbers, the set B be the odd number
Sloan [31]
Answer:
a) AUC = {2,4,6,8,10}
b) BnC = {}
c) AnB = {}
d) B-C = B = {1,3,5,7,9}
Step-by-step explanation:
The set A is the even numbers, those that are divisible by two.
So A = {2,4,6,8,10}
B is the odd numbe.rs. An odd number is a number that is not divisible by two.
So B = {1,3,5,7,9}.
C = {4,5,6}, as the problem states
a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.
So AUC = {2,4,6,8,10}.
b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.
There are no elements that are in both B and C, so the intersection is an empty set
BnC = {}
c) Same explanation as b), there are no elements that are in both A and B, so another empty set.
AnB = {}
d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:
B-C = B = {1,3,5,7,9}
