The correct answer is (C)!
Since the area of the circle is 400π, 150π/400π = 135/360.
At least 3 2/3 can fit into 2
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
Answer:
70
Step-by-step explanation:
The sum of the angles of a triangle should always add up to 180 degrees.
In this problem, they have given us 2 angle measures of the triangle - 40 degrees and 70 degrees. To figure out the third angle, we simply need to figure out how many more degrees we need for reaching the 180 degrees.
I'm just going to do some simple math:
40 + 70 = 110 (sum of the 2 angles)
180 - 110 = 70 (subtracting 180 by the sum of the 2 angles)
Answer:
8 over 7
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Glad I could help!!
