There is a formula for adding consecutive integers.
sum = (n * (n+1)) / 2
for summing 1 through 12 it is
sum = (12 * 13) / 2 = 156/2 = 78
The clock goes through two "12-hour cycles" in a day, so the answer is 2 * 78 or 156 times.
Answer:
a = 5
Step-by-step explanation:
assuming (a-1, 9) is in the form of (x,y):
9(a-1) - 5(9) = -9
9a - 9 - 45 = -9
9a = 45
a = 5
2x - 2 + 5 = 13
<span>2x = 13 + 2 - 5 or 10 </span>
<span>x = 5</span>
Answer:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
sin(π/6) is independent of x, so
