Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
which simplifies to
and a bit more to
(which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
so
Answer:
A
Step-by-step explanation:
Note the expansion
tan(a - b) = 
We are given the right side of the expansion , then left side is
tan(
- 
)
= tan(
)
= tan (
) → A
Answer:
-8x + 2
Step-by-step explanation:
8(-x+1/4)
(8*(-x)] +(8 x 1/4)
-8x + 2
Answer:
D
Step-by-step explanation:
The area (A) of a kite is calculated as
A = 
× d₁ × d₂ ( d₁ and d₂ are the diagonals )
This can be represented as
Multiply the diagonals then divide by 2 → D
12 inch bucket fills half an inch every 10 mins
20 mins is 1 inch
40 mins is 2 inch
60 mins is 3 inch
80 mins is 4 inch
100 mins is 5 inch
120 mins is 60 inch and 6 inch is half of 12 so
double 120 to get 240 which is 4 hours
