Answer:
16
Step-by-step explanation:
Subtract DE from CE and you will get the value of CD
27 - 11 = 16
Answer:
-17
Step-by-step explanation:
-16r=272
16r=-272
r=-17
X=6
Z=8 so X:Z
=. 6/8
So 2 goes into both 6 and 8 so divide numerator and denominator by 2 which = 3/4
Answer:
Recursive:

Explicit:

And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:

Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:

Explicit Rule:
The standard format for the explicit rule is:

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

Evaluate:

Hence, the 20th term is 225.
Since all sides of a cube are equal...,
Let one side length of a cube be (z)
;Volume = z × z × z
;Volume = z^3
; 27 = z^3....where we then say that..,
; z(side length) = cube root of (27)
; Hence..., Side Length = 3 yards