Answer:
A
Step-by-step explanation:
The volume (V) of the triangular prism is calculate as
V = area of triangular face × depth
area of triangle = 0.5 × 9 × 4 = 0.5 × 36 = 18 units², thus
V = 18 × 15 = 270 units³ → A
This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number.
We know a=1 and d=7 so:
a(n)=1+7(n-1)
a(n)=1+7n-7
a(n)=7n-6
The above is the "rule" for the nth term.
Answer:
1/92
Step-by-step explanation:
There are C(3, 2) = 3 ways to select 2 jelly-filled donuts from the 3 in the box. There are C(24, 2) = 276 ways to select 2 donuts from the box.
The probability that you will select 2 jelly-filled donuts is ...
... 3/276 = 1/92
_____
C(n, k) = n!/(k!(n-k)!)
C(3, 2) = (3·2)/2 = 3
C(24, 2) = (24·23)/2 = 276
Answer:
They are equal
Step-by-step explanation:
Given
Required
Determine if they are equal
We start by equating both:
Cross Multiply
<em>Because both sides of the equation are equal, then the ratios are equal</em>
Answer:
x = 20
Step-by-step explanation:
2x + 20 = 3x
2x - 2x + 20 = 3x - 2x
20 = x
2x + 20 = ?
2(20) + 20 = ?
40 + 20 = ?
60 = ?
3x = ?
3(20) = ?
60 = ?