The total volume is 12x
if the sand is 1.5 ft tall then use the equation 1.5 with the sand and see if you get the total volume
Answer:
(a)= option 3
(b)= option 3
Step-by-step explanation:
(A) It is given that a sequence is defined by the recursive function 
and 
Now, substituting the value of n=2 in above equation,
Again putting n=3,
Putting n=4,
Putting n=5,
Putting n=6,
Putting n=7,
Hence, option 3 is correct.
(B) The given sequence is :
5, -10, 20, -40, 80.....
Since, the given sequence is GP, therefore
and r=-2
The nth term is given by:
For fifteenth term, put n=15 in above equation, we get
=
=
Hence, the fifteenth term is 81920.
Option 3 is correct.
Answer:
The answer to this question is D.60
Answer: Any isosceles triangle is a counter example. More specifically, a triangle with sides 7, 7 and 3
When forming your triangle, make sure you apply the triangle inequality theorem. This is the idea where adding any two sides leads to a result larger than the third side. So we have
7+7 = 14 which is larger than 3
7+3 = 10 which is larger than 7
By definition, an isosceles triangle has two congruent sides. Some books say "at least 2 congruent sides", but I'll go with the first definition. If you want all three sides to be congruent, then you'd go for the term "equilateral".
