Answer:
BA = 12
Step-by-step explanation:
All the right triangles are similar, so the ratio of hypotenuse to long side is a constant. In particular ΔABC ~ ΔDBA, so ...
hypotenuse/long-side = BC/BA = BA/BD
Cross multiplying gives ...
BA² = BC·BD
BA = √(BC·BD) = √(16·9)
BA = 12
Answer:
256 cups
Step-by-step explanation:
16 cups=1 gallon
16x16=256
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:
759 square foot garden
Step-by-step explanation:
L= length
W= Width
Perimeter = 2(L + W)
112 = 2(L + W)
divide both sides by 2 and you get
56 = L + W
L=33
W=23
Answer:
I believe 4, but I might be wrong.
Step-by-step explanation:
If you look, it's going down -4 every time. So that means if you're going up, it's going +4 after you skip a space. So, skip, then 0, then skip, and that's 4.