Volume of one cubic block = (1/6)^3 = 1/216 cu ins
Volume of the prism = 1/3 * 2/3 * 2/3 = 4/27 cu ins
Number of blocks to fill prism = 4/27 / 1/216 = (216*4) / 27 = 32
Answer:
Slope of the perpendicular line: 2/3
Step-by-step explanation:
-2y = 3x - 6
y = - 3/2x - - 6/2
y = -3/2 + 3
The length of CD is 7-3=4.
Therefore, if we dilate by a scale factor of 3, the length is 4(3) = 12
The explicit formula is a(n) = 15(n – 10)
<u>Solution:</u>
Given, a term a(19) = 135 and common difference d = 15
We have to find the explicit formula.
Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,
So, for a(19)

Now, we know that, an explicit formula is an expression for finding the nth term,
So, in our problem, expression for finding nth term is a + (n – 1)d

Hence, the explicit formula is a(n) = 15(n – 10).
It would be the first one.