50 = 2 x 25 = 2 x 5 x 5 = 2 x 5^2
20 = 2 x 10 = 2 x 2 x 5 = 2^2 x 5
Answer:
Right Triangles and the Pythagorean Theorem
1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
2.The side opposite the right angle is called the hypotenuse (side c in the figure).
Answer:
......the sum is..72.83.......
Answer:
a) The sequence converges to 0
b) The lenght of the curve is
Step-by-step explanation:
Consider the sequence
a) We will prove it using the sandwich lemma. Note that for all n , then
Note that the expressions on the left and the right hand side have a greater degree on the denominator than the one on the numerator. Then, by takint the limit n goes to infinty on both sides, we have that
So, the sequence converges to 0.
b) The function the formula of curve lenght is given by
in this case, a=1, b=6
Note that . Then
. Take u = 1+36x. Then du= 36dx (i.e du/36 = dx). If x = 1, then u = 37 and if x = 6 then u = 217. So,
Answer : 2 books
7/2 divided by 7/4