Answer:
The general rule is 
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:
In which 
is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:
a3 = -12 and a8 = -37
First we find the common difference. So
So
Finding the first term:
Since 
So the general rule is:
ANSWER: The length of the entire dash is 700 meters.
EXPLANATION:
Because 20% of the dash equals 140 meters, we can use a variable to figure out the length of the entire dash.
Let x be the length of the entire dash.
The length of the entire dash is 700 meters.
The value of the tangent of an angle is the ratio (opposite side) / (adjacent side).
Here you see that the opposite side (opposite to Angle B) is of length 5 and the adj. side has length 12.
Thus, the tan of Angle B is 5/12. (answer)
Answer:
£83.70
Step-by-step explanation:
→ First step is to find the amount of hours it takes for one builder
We know it takes 5 builders 
hours so 1 builder would take 5 × which is 
hours so it takes one builder 17.5 hours to builder a wall
→ Now we know how long one work takes we need to find out the time for 2 builders
1 builder = 17.5 hours
2 builders = 17.5 ÷ 2 = 8.75 hours
So 2 builders take 8.75 hours
→ We know that each builder is paid £9.30 for each or part hour they work so
9.30 hourly pay rate × 9 hours work of work = £83.70
Each worker will be paid £83.70
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