A pizza restaurant allows you to choose any 2 of 7 toppings. How many
2 answers:
Answer:
21
Step-by-step explanation:
You have 7 options for two toppings, to find the numer of combinatios you need to do the following:
this is because you have 7 toppings, so for the first one you are going to choose you have all the 7 options available, then for the second one, since you already picked one, you have 6 options left. This is why you multiply 7*6 =42
and finally divide by 2 to eliminate the duplicates. For example in the 42 options you have both pepperoni with ham, and ham with pepperoni, this are really the same combination just in a different order, so you must divide by two.
The answer is 21 combinations
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When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.
For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3
For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3
The formula for circumference is 
.
To express the circumference exactly, plug the diameter in for
and put the 
symbol in front of it. Don't multiply. This expresses the exact circumference.
Say you have the diameter of 17.
You can express the circumference with 17.
To express the circumference exactly, plug the diameter in for
Say you have the diameter of 17.
You can express the circumference with 17