Let's rewrite the binomial as:
Using the binomial expansion, we get:
For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.
Thus, the fifteenth term is:
Step-by-step explanation:
a²+b²=c²
THIS is the Pythagorean theorem which is:
Hypotenuse² + Base² = perpendicular ²
Thus inputting values:
(√117)² + (6)² = (x)²
117 + 36 = x²
x² = 153
x= √153 (ans)
Answer:
62 units^2
Step-by-step explanation:
The surface area of the prism is the area of the net. It consists of a vertical rectangle 3 units wide and 14 units high, which has an area of ...
(3 units)(14 units) = 42 units^2
and two "wings" that are each 5 units wide and 2 units high, so have an area of ...
(2)(5 units)(2 units) = 20 units^2
Then the total surface area is ...
42 units^2 +20 units^2 = 62 units^2