First term: -9
Common difference: 7
a(n) = -9 + 7(n-1), for n = {1, 2, 3, ... }
Check: what is the first term? let n=1. Then a(1) = -9 + 7(1-1) = -9.
This is correct.
You have a rectangular prism on your hands. The formula for the volume of a rectangular prism is
(B/2) • l
Where B is the area of the base, and l is the length.
If you notice, you do NOT have the height of the triangle. However, you know that it is an equilateral triangle. So, you may split the triangle into two. Once you do, you can see that it is a right triangle. It’s hypotenuse is 3. If you know your triangles, you will realize that this is a 30 60 90 triangle. Therefore, the height will be 1.5 * sqrt(3)
So, to get B...
3 * 1.5sqrt(3)
4.5sqrt(3)
(Divide by 2)
2.25sqrt(3)
O
(9sqrt(3))/4
Multiply by the length of the prism, 6
This is your final answer in fraction form
27
— 2^rt(3)
2
Given:
A spinner marked A, B, C is spun then a 6-sided die is rolled.
To find:
The probability of getting a B and then a 6.
Solution:
We know that,
Total possible values for a spinner are 3. So, the probability of getting B, we get
Total possible values for a die are 6. So, the probability of getting 6, we get
Now, the probability of getting a B and then a 6 is
The required probability is 
.
Therefore, the correct option is D.
4x + 3 + x - 2 +4x +3 +x - 2
5x + 1 + 4x + 3 + x - 2
5x + 1 + 5x + 1
10x + 2
10(3+4)= 30+40
I factored the 10 and put it on the outside
